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1934 lines
31 KiB
Plaintext
1934 lines
31 KiB
Plaintext
#LyX 1.3 created this file. For more info see http://www.lyx.org/
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\lyxformat 221
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\textclass aastex
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\begin_preamble
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\newcommand{\vdag}{(v)^\dagger}
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\newcommand{\myemail}{skywalker@galaxy.far.far.away}
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\slugcomment{Not to appear in Nonlearned J., 45.}
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\shorttitle{Djorgovski et al.}
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\shortauthors{Collapsed Cores in Globular Clusters}
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\end_preamble
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\language english
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\inputencoding default
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\fontscheme default
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\graphics default
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\paperfontsize default
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\spacing single
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\papersize Default
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\paperpackage a4
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\use_geometry 0
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\use_amsmath 0
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\use_natbib 0
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\use_numerical_citations 0
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\paperorientation portrait
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\secnumdepth 3
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\tocdepth 3
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\paragraph_separation indent
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\defskip medskip
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\quotes_language english
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\quotes_times 2
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\papercolumns 1
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\papersides 1
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\paperpagestyle default
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\layout Title
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Collapsed Cores in Globular Clusters, Gauge-Boson Couplings, and AASTeX
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Examples
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\layout Author
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S.
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Djorgovski
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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altaffilmark{1,2,3}
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\end_inset
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and Ivan R.
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King
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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altaffilmark{1}
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\end_inset
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\layout Affiliation
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Astronomy Department, University of California, Berkeley, CA 94720
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\layout Author
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C.
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D.
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Biemesderfer
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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altaffilmark{4,5}
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\end_inset
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\layout Affiliation
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National Optical Astronomy Observatories, Tucson, AZ 85719
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\layout Email
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aastex-help@aas.org
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\layout And
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\layout Author
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R.
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J.
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Hanisch
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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altaffilmark{5}
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\end_inset
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\layout Affiliation
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Space Telescope Science Institute, Baltimore, MD 21218
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\layout Standard
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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altaffiltext{1}{Visiting Astronomer, Cerro Tololo Inter-American Observatory.
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CTIO is operated by AURA, Inc.
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\backslash
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under contract to the National Science Foundation.}
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\layout Standard
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\backslash
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altaffiltext{2}{Society of Fellows, Harvard University.}
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\layout Standard
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\backslash
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altaffiltext{3}{present address: Center for Astrophysics, 60 Garden Street,
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Cambridge, MA 02138}
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\layout Standard
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\backslash
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altaffiltext{4}{Visiting Programmer, Space Telescope Science Institute}
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\layout Standard
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\backslash
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altaffiltext{5}{Patron, Alonso's Bar and Grill}
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\end_inset
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\layout Abstract
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This is a preliminary report on surface photometry of the major fraction
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of known globular clusters, to see which of them show the signs of a collapsed
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core.
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We also explore some diversionary mathematics and recreational tables.
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\layout Keywords
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clusters: globular, peanut---bosons: bozos
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\layout Section
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Introduction
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\layout Standard
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A focal problem today in the dynamics of globular clusters is core collapse.
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It has been predicted by theory for decades
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citep{hen61,lyn68,spi85}
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\end_inset
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, but observation has been less alert to the phenomenon.
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For many years the central brightness peak in M15
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citep{kin75,new78}
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\end_inset
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seemed a unique anomaly.
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Then
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citet{aur82}
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\end_inset
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suggested a central peak in NGC 6397, and a limited photographic survey
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of ours
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citep[Paper I]{djo84}
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\end_inset
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found three more cases, including NGC 6624, whose sharp center had often
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been remarked on
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citep{can78}
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\end_inset
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.
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\layout Section
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Observations
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\layout Standard
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All our observations were short direct exposures with CCD's.
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At Lick Observatory we used a TI 500
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\begin_inset Formula \( \times \)
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\end_inset
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500 chip and a GEC 575
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\begin_inset Formula \( \times \)
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\end_inset
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385, on the 1-m Nickel reflector.
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The only filter available at Lick was red.
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At CTIO we used a GEC 575
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\begin_inset Formula \( \times \)
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\end_inset
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385, with
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\begin_inset Formula \( B,V, \)
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\end_inset
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and
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\begin_inset Formula \( R \)
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\end_inset
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filters, and an RCA 512
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\begin_inset Formula \( \times \)
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\end_inset
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320, with
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\begin_inset Formula \( U,B,V,R, \)
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\end_inset
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and
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\begin_inset Formula \( I \)
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\end_inset
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filters, on the 1.5-m reflector.
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In the CTIO observations we tried to concentrate on the shortest practicable
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wavelengths; but faintness, reddening, and poor short-wavelength sensitivity
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often kept us from observing in
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\begin_inset Formula \( U \)
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\end_inset
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or even in
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\begin_inset Formula \( B \)
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\end_inset
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.
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All four cameras had scales of the order of 0.4 arcsec/pixel, and our field
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sizes were around 3 arcmin.
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\layout Standard
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The CCD images are unfortunately not always suitable, for very poor clusters
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or for clusters with large cores.
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Since the latter are easily studied by other means, we augmented our own
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CCD profiles by collecting from the literature a number of star-count profiles
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citep{kin68,pet76,har84,ort85}
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\end_inset
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, as well as photoelectric profiles
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citep{kin66,kin75}
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\end_inset
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and electronographic profiles
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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citep{kro84}
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\end_inset
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.
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In a few cases we judged normality by eye estimates on one of the Sky Surveys.
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\layout Section
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Helicity Amplitudes
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\layout Standard
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It has been realized that helicity amplitudes provide a convenient means
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for Feynman diagram
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\begin_inset Foot
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collapsed true
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\layout Standard
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Footnotes can be inserted like this.
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\end_inset
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evaluations.
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These amplitude-level techniques are particularly convenient for calculations
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involving many Feynman diagrams, where the usual trace techniques for the
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amplitude squared becomes unwieldy.
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Our calculations use the helicity techniques developed by other authors
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\begin_inset LatexCommand \cite{hag86}
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\end_inset
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; we briefly summarize below.
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\layout Subsection
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Formalism
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\layout Standard
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\begin_inset LatexCommand \label{bozomath}
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\end_inset
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\layout Standard
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A tree-level amplitude in
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\begin_inset Formula \( e^{+}e^{-} \)
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\end_inset
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collisions can be expressed in terms of fermion strings of the form
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\begin_inset Formula \begin{equation}
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\bar{v}(p_{2},\sigma _{2})P_{-\tau }\hat{a}_{1}\hat{a}_{2}\cdots \hat{a}_{n}u(p_{1},\sigma _{1}),
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\end{equation}
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\end_inset
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where
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\begin_inset Formula \( p \)
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\end_inset
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and
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\begin_inset Formula \( \sigma \)
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\end_inset
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label the initial
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\begin_inset Formula \( e^{\pm } \)
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\end_inset
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four-momenta and helicities
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\begin_inset Formula \( (\sigma =\pm 1) \)
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\end_inset
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,
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\begin_inset Formula \( \hat{a}_{i}=a^{\mu }_{i}\gamma _{\nu } \)
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\end_inset
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and
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\begin_inset Formula \( P_{\tau }=\frac{1}{2}(1+\tau \gamma _{5}) \)
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\end_inset
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is a chirality projection operator
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\begin_inset Formula \( (\tau =\pm1 ) \)
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\end_inset
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.
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The
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\begin_inset Formula \( a^{\mu }_{i} \)
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\end_inset
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may be formed from particle four-momenta, gauge-boson polarization vectors
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or fermion strings with an uncontracted Lorentz index associated with final-sta
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te fermions.
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\layout NoteToEditor
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Figures 1 and 2 should appear side-by-side in print
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\layout Standard
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In the chiral representation the
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\begin_inset Formula \( \gamma \)
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\end_inset
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matrices are expressed in terms of
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\begin_inset Formula \( 2\times 2 \)
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\end_inset
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Pauli matrices
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\begin_inset Formula \( \sigma \)
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\end_inset
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and the unit matrix 1 as
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\begin_inset Formula \begin{eqnarray}
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\gamma ^{\mu } & = & \left( \begin{array}{cc}
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0 & \sigma ^{\mu }_{+}\\
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\sigma ^{\mu }_{-} & 0
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\end{array}\right) ,\gamma ^{5}=\left( \begin{array}{cc}
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-1 & 0\\
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0 & 1
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\end{array}\right) ,\nonumber \\
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\sigma ^{\mu }_{\pm } & = & ({\textbf {1}},\pm \sigma ),\nonumber
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\end{eqnarray}
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\end_inset
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giving
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\begin_inset Formula \begin{equation}
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\hat{a}=\left( \begin{array}{cc}
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0 & (\hat{a})_{+}\\
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(\hat{a})_{-} & 0
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\end{array}\right) ,(\hat{a})_{\pm }=a_{\mu }\sigma ^{\mu }_{\pm },
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\end{equation}
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\end_inset
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The spinors are expressed in terms of two-component Weyl spinors as
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\begin_inset Formula \begin{equation}
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u=\left( \begin{array}{c}
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(u)_{-}\\
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(u)_{+}
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\end{array}\right) ,v={\textbf {(}}\vdag _{+}{\textbf {,}}\vdag _{-}{\textbf {)}}.
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\end{equation}
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\end_inset
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\layout Standard
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The Weyl spinors are given in terms of helicity eigenstates
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\begin_inset Formula \( \chi _{\lambda }(p) \)
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\end_inset
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with
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\begin_inset Formula \( \lambda =\pm1 \)
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\end_inset
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by
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\layout MathLetters
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\begin_inset Formula \begin{eqnarray}
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u(p,\lambda )_{\pm } & = & (E\pm \lambda |{\textbf {p}}|)^{1/2}\chi _{\lambda }(p),\\
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v(p,\lambda )_{\pm } & = & \pm \lambda (E\mp \lambda |{\textbf {p}}|)^{1/2}\chi _{-\lambda }(p)
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\end{eqnarray}
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\end_inset
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\layout Section
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Floating material and so forth
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\layout Standard
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Consider a task that computes profile parameters for a modified Lorentzian
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of the form
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\begin_inset Formula \begin{equation}
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I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
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\end{equation}
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\end_inset
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where
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\begin_inset Formula \[
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d_{1}=\sqrt{\left( \begin{array}{c}
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\frac{x_{1}}{R_{maj}}
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\end{array}\right) ^{2}+\left( \begin{array}{c}
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\frac{y_{1}}{R_{min}}
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\end{array}\right) ^{2}}\]
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\end_inset
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\begin_inset Formula \[
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d_{2}=\sqrt{\left( \begin{array}{c}
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\frac{x_{1}}{PR_{maj}}
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\end{array}\right) ^{2}+\left( \begin{array}{c}
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\case {y_{1}}{PR_{min}}
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\end{array}\right) ^{2}}\]
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\end_inset
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\begin_inset Formula \[
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x_{1}=(x-x_{0})\cos \Theta +(y-y_{0})\sin \Theta \]
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\end_inset
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\begin_inset Formula \[
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y_{1}=-(x-x_{0})\sin \Theta +(y-y_{0})\cos \Theta \]
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\end_inset
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\layout Standard
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In these expressions
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\begin_inset Formula \( x_{0} \)
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\end_inset
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,
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\begin_inset Formula \( y_{0} \)
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\end_inset
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is the star center, and
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\begin_inset Formula \( \Theta \)
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\end_inset
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is the angle with the
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\begin_inset Formula \( x \)
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\end_inset
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axis.
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Results of this task are shown in table\SpecialChar ~
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\begin_inset LatexCommand \ref{tbl-2}
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\end_inset
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.
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It is not clear how these sorts of analyses may affect determination of
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\begin_inset Formula \( M_{\sun } \)
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\end_inset
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, but the assumption is that the alternate results should be less than 90
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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degr
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\backslash
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\end_inset
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out of phase with previous values.
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We have no observations of
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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ion{Ca}{2}
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\end_inset
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.
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Roughly
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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slantfrac{4}{5}
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\end_inset
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of the electronically submitted abstracts for AAS meetings are error-free.
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\layout Acknowledgements
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\layout Standard
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We are grateful to V.
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Barger, T.
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Han, and R.
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J.
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N.
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Phillips for doing the math in section\SpecialChar ~
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\begin_inset LatexCommand \ref{bozomath}
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\end_inset
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.
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More information on the AASTeX macros package are available at
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\begin_inset LatexCommand \url{http://www.aas.org/publications/aastex}
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\end_inset
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or the
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\begin_inset ERT
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status Collapsed
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\layout Standard
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\backslash
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anchor{ftp://www.aas.org/pubs/}{AAS ftp site}
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\end_inset
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|
.
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\layout Appendix
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\layout Section
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|
Appendicial material
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\layout Standard
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|
|
|
Consider once again a task that computes profile parameters for a modified
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Lorentzian of the form
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\begin_inset Formula \begin{equation}
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I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
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\end{equation}
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\end_inset
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where
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\layout MathLetters
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|
|
|
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|
\begin_inset Formula \[
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d_{1}=\frac{3}{4}\sqrt{\left( \begin{array}{c}
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\frac{x_{1}}{R_{maj}}
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\end{array}\right) ^{2}+\left( \begin{array}{c}
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\frac{y_{1}}{R_{min}}
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\end{array}\right) ^{2}}\]
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\end_inset
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\begin_inset Formula \begin{equation}
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d_{2}=\case {3}{4}\sqrt{\left( \begin{array}{c}
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\frac{x_{1}}{PR_{maj}}
|
|
\end{array}\right) ^{2}+\left( \begin{array}{c}
|
|
\case {y_{1}}{PR_{min}}
|
|
\end{array}\right) ^{2}}
|
|
\end{equation}
|
|
|
|
\end_inset
|
|
|
|
|
|
\begin_inset Formula \begin{eqnarray}
|
|
x_{1} & = & (x-x_{0})\cos \Theta +(y-y_{0})\sin \Theta \\
|
|
y_{1} & = & -(x-x_{0})\sin \Theta +(y-y_{0})\cos \Theta
|
|
\end{eqnarray}
|
|
|
|
\end_inset
|
|
|
|
|
|
\layout Standard
|
|
|
|
For completeness, here is one last equation.
|
|
|
|
\begin_inset Formula \begin{equation}
|
|
e=mc^{2}
|
|
\end{equation}
|
|
|
|
\end_inset
|
|
|
|
|
|
\layout References
|
|
\bibitem [Auri\`ere(1982)]{aur82}
|
|
|
|
Auri\i \`{e}
|
|
re, M.
|
|
1982,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
aap
|
|
\end_inset
|
|
|
|
, 109, 301
|
|
\layout References
|
|
\bibitem [Canizares et al.(1978)]{can78}
|
|
|
|
Canizares, C.
|
|
R., Grindlay, J.
|
|
E., Hiltner, W.
|
|
A., Liller, W., and McClintock, J.
|
|
E.
|
|
1978,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
apj
|
|
\end_inset
|
|
|
|
, 224, 39
|
|
\layout References
|
|
\bibitem [Djorgovski and King(1984)]{djo84}
|
|
|
|
Djorgovski, S., and King, I.
|
|
R.
|
|
1984,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
apjl
|
|
\end_inset
|
|
|
|
, 277, L49
|
|
\layout References
|
|
\bibitem [Hagiwara and Zeppenfeld(1986)]{hag86}
|
|
|
|
Hagiwara, K., and Zeppenfeld, D.
|
|
1986, Nucl.Phys., 274, 1
|
|
\layout References
|
|
\bibitem [Harris and van den Bergh(1984)]{har84}
|
|
|
|
Harris, W.
|
|
E., and van den Bergh, S.
|
|
1984,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
aj
|
|
\end_inset
|
|
|
|
, 89, 1816
|
|
\layout References
|
|
\bibitem [H\`enon(1961)]{hen61}
|
|
|
|
H\i \'{e}
|
|
non, M.
|
|
1961, Ann.d'Ap., 24, 369
|
|
\layout References
|
|
\bibitem [King(1966)]{kin66}
|
|
|
|
King, I.
|
|
R.
|
|
1966,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
aj
|
|
\end_inset
|
|
|
|
, 71, 276
|
|
\layout References
|
|
\bibitem [King(1975)]{kin75}
|
|
|
|
King, I.
|
|
R.
|
|
1975, Dynamics of Stellar Systems, A.
|
|
Hayli, Dordrecht: Reidel, 1975, 99
|
|
\layout References
|
|
\bibitem [King et al.(1968)]{kin68}
|
|
|
|
King, I.
|
|
R., Hedemann, E., Hodge, S.
|
|
M., and White, R.
|
|
E.
|
|
1968,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
aj
|
|
\end_inset
|
|
|
|
, 73, 456
|
|
\layout References
|
|
\bibitem [Kron et al.(1984)]{kro84}
|
|
|
|
Kron, G.
|
|
E., Hewitt, A.
|
|
V., and Wasserman, L.
|
|
H.
|
|
1984,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
pasp
|
|
\end_inset
|
|
|
|
, 96, 198
|
|
\layout References
|
|
\bibitem [Lynden-Bell and Wood(1968)]{lyn68}
|
|
|
|
Lynden-Bell, D., and Wood, R.
|
|
1968,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
mnras
|
|
\end_inset
|
|
|
|
, 138, 495
|
|
\layout References
|
|
\bibitem [Newell and O'Neil(1978)]{new78}
|
|
|
|
Newell, E.
|
|
B., and O'Neil, E.
|
|
J.
|
|
1978,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
apjs
|
|
\end_inset
|
|
|
|
, 37, 27
|
|
\layout References
|
|
\bibitem [Ortolani et al.(1985)]{ort85}
|
|
|
|
Ortolani, S., Rosino, L., and Sandage, A.
|
|
1985,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
aj
|
|
\end_inset
|
|
|
|
, 90, 473
|
|
\layout References
|
|
\bibitem [Peterson(1976)]{pet76}
|
|
|
|
Peterson, C.
|
|
J.
|
|
1976,
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
aj
|
|
\end_inset
|
|
|
|
, 81, 617
|
|
\layout References
|
|
\bibitem [Spitzer(1985)]{spi85}
|
|
|
|
Spitzer, L.
|
|
1985, Dynamics of Star Clusters, J.
|
|
Goodman and P.
|
|
Hut, Dordrecht: Reidel, 109
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
clearpage
|
|
\end_inset
|
|
|
|
|
|
\layout FigCaption
|
|
|
|
|
|
\begin_inset LatexCommand \label{fig1}
|
|
|
|
\end_inset
|
|
|
|
This is the first figure and it uses sgi9259.eps as its EPS figure file.
|
|
\layout FigCaption
|
|
|
|
|
|
\begin_inset LatexCommand \label{fig2}
|
|
|
|
\end_inset
|
|
|
|
This is an example of a long figure caption that must be set as a paragraph.
|
|
The processor has to buffer the text of the caption, so it is good not
|
|
to be too wordy, but that would make for poor communication as well.
|
|
|
|
\layout FigCaption
|
|
|
|
|
|
\begin_inset LatexCommand \label{fig3}
|
|
|
|
\end_inset
|
|
|
|
This figure has no associated EPS file, so the optional parameter is omitted.
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
clearpage
|
|
\end_inset
|
|
|
|
|
|
\layout Standard
|
|
|
|
\begin_inset Float table
|
|
wide false
|
|
collapsed false
|
|
|
|
\layout Caption
|
|
\added_space_bottom medskip
|
|
Terribly relevant tabular information.
|
|
\begin_inset LatexCommand \label{tbl-2}
|
|
|
|
\end_inset
|
|
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Tabular
|
|
<lyxtabular version="3" rows="7" columns="13">
|
|
<features endhead="-1" endfirsthead="-1" endfoot="-1" endlastfoot="-1">
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="right" valignment="top" width="0pt">
|
|
<column alignment="center" valignment="top" width="0pt">
|
|
<row>
|
|
<cell alignment="center" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
Star
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
Height
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( d_{x} \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( d_{y} \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( n \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( \chi ^{2} \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( R_{maj} \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( R_{min} \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( P \)
|
|
\end_inset
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tablenotemark{a}
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( PR_{maj} \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" topline="true" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( PR_{min} \)
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell multicolumn="1" alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset Formula \( \Theta \)
|
|
\end_inset
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tablenotemark{b}
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
Ref.
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tableline
|
|
\backslash
|
|
tableline
|
|
\end_inset
|
|
|
|
1
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
33472.5
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-0.1
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
0.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
53
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
27.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
2.065
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.940
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
3.900
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
68.3
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
116.2
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-27.639
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1,2
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
2
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
27802.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-0.3
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-0.2
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
60
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
3.7
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.628
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.510
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
2.156
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
6.8
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
7.5
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-26.764
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
3
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
3
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
29210.6
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
0.9
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
0.3
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
60
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
3.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.622
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.551
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
2.159
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
6.7
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
7.3
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-40.272
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
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4
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
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|
4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
32733.8
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-1.2
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tablenotemark{c}
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-0.5
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
41
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
54.8
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
2.282
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
2.156
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
4.313
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
117.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
78.2
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-35.847
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
5,6
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
5
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
9607.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-0.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-0.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
60
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.4
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.669
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tablenotemark{c}
|
|
\end_inset
|
|
|
|
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.574
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
2.343
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
8.0
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
8.9
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-33.417
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
7
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
<row>
|
|
<cell alignment="center" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
6
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
31638.6
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
1.6
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
0.1
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
39
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
315.2
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
3.433
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
3.075
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
7.488
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
92.1
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
25.3
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
-12.052
|
|
\end_inset
|
|
</cell>
|
|
<cell alignment="right" valignment="top" bottomline="true" usebox="none">
|
|
\begin_inset Text
|
|
|
|
\layout Standard
|
|
|
|
8
|
|
\end_inset
|
|
</cell>
|
|
</row>
|
|
</lyxtabular>
|
|
|
|
\end_inset
|
|
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tablenotetext{a}{Sample footnote for table~
|
|
\backslash
|
|
ref{tbl-2} that was generated with the
|
|
\backslash
|
|
LaTeX
|
|
\backslash
|
|
table environment}
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tablenotetext{b}{Yet another sample footnote for table~
|
|
\backslash
|
|
ref{tbl-2}}
|
|
\layout Standard
|
|
|
|
\backslash
|
|
tablenotetext{c}{Another sample footnote for table~
|
|
\backslash
|
|
ref{tbl-2}}
|
|
\end_inset
|
|
|
|
|
|
\layout TableComments
|
|
|
|
We can also attach a long-ish paragraph of explanatory material to a table.
|
|
Use
|
|
\backslash
|
|
tablerefs to append a list of references.
|
|
The following references were from a different table: I've patched them
|
|
in here to show how they look, but don't take them too seriously---I certainly
|
|
have not.
|
|
\layout TableRefs
|
|
|
|
(1) Barbuy, Spite, & Spite 1985; (2) Bond 1980; (3) Carbon et al.
|
|
1987; (4) Hobbs & Duncan 1987; (5) Gilroy et al.
|
|
1988: (6) Gratton & Ortolani 1986; (7) Gratton & Sneden 1987; (8) Gratton
|
|
& Sneden (1988); (9) Gratton & Sneden 1991; (10) Kraft et al.
|
|
1982; (11) LCL, or Laird, 1990; (12) Leep & Wallerstein 1981; (13) Luck
|
|
& Bond 1981; (14) Luck & Bond 1985; (15) Magain 1987; (16) Magain 1989;
|
|
(17) Peterson 1981; (18) Peterson, Kurucz, & Carney 1990; (19) RMB; (20)
|
|
Schuster & Nissen 1988; (21) Schuster & Nissen 1989b; (22) Spite et al.
|
|
1984; (23) Spite & Spite 1986; (24) Hobbs & Thorburn 1991; (25) Hobbs et
|
|
al.
|
|
1991; (26) Olsen 1983.
|
|
\end_inset
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
% LyX can load deluxetable files verbatim.
|
|
To see this in action, uncomment the following
|
|
\end_inset
|
|
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
% line (delete the
|
|
\end_inset
|
|
|
|
|
|
\begin_inset Quotes eld
|
|
\end_inset
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
%
|
|
\end_inset
|
|
|
|
|
|
\begin_inset Quotes erd
|
|
\end_inset
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
) and copy the file table.tex from the AASTeX 5.0 distribution into
|
|
\end_inset
|
|
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
% the same directory as this file.
|
|
\end_inset
|
|
|
|
|
|
\layout Standard
|
|
|
|
|
|
\begin_inset ERT
|
|
status Collapsed
|
|
|
|
\layout Standard
|
|
%
|
|
\end_inset
|
|
|
|
|
|
\begin_inset Include \input{table}
|
|
|
|
\end_inset
|
|
|
|
|
|
|
|
\the_end
|