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-\lyxformat 221
+#LyX 2.0 created this file. For more info see http://www.lyx.org/
+\lyxformat 413
+\begin_document
+\begin_header
\textclass aastex
\begin_preamble
\newcommand{\vdag}{(v)^\dagger}
\shorttitle{Djorgovski et al.}
\shortauthors{Collapsed Cores in Globular Clusters}
\end_preamble
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+\index Index
+\shortcut idx
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+\html_be_strict false
+\end_header
-\layout Title
+\begin_body
-Collapsed Cores in Globular Clusters, Gauge-Boson Couplings, and AASTeX
-Examples
-\layout Author
+\begin_layout Title
+Collapsed Cores in Globular Clusters, Gauge-Boson Couplings, and AASTeX
+ Examples
+\end_layout
+\begin_layout Author
S.
Djorgovski
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status open
-\layout Standard
+\begin_layout Plain Layout
+1,2,3
+\end_layout
-\backslash
-altaffilmark{1,2,3}
-\end_inset
+\end_inset
and Ivan R.
King
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
+1
+\end_layout
-\backslash
-altaffilmark{1}
-\end_inset
+\end_inset
-\layout Affiliation
+\end_layout
+\begin_layout Affiliation
Astronomy Department, University of California, Berkeley, CA 94720
-\layout Author
+\end_layout
+\begin_layout Author
C.
D.
Biemesderfer
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
+4,5
+\end_layout
-\backslash
-altaffilmark{4,5}
-\end_inset
+\end_inset
-\layout Affiliation
+\end_layout
+\begin_layout Affiliation
National Optical Astronomy Observatories, Tucson, AZ 85719
-\layout Email
+\end_layout
+\begin_layout Email
aastex-help@aas.org
-\layout And
+\end_layout
+
+\begin_layout And
-\layout Author
+\end_layout
+\begin_layout Author
R.
J.
Hanisch
-\begin_inset ERT
-status Collapsed
+\begin_inset Flex altaffilmark
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
+5
+\end_layout
-\backslash
-altaffilmark{5}
-\end_inset
+\end_inset
-\layout Affiliation
+\end_layout
+\begin_layout Affiliation
Space Telescope Science Institute, Baltimore, MD 21218
-\layout Standard
-
+\end_layout
+\begin_layout Altaffilation
+1
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
+
+}{
+\end_layout
-\layout Standard
+\end_inset
-\backslash
-altaffiltext{1}{Visiting Astronomer, Cerro Tololo Inter-American Observatory.
+Visiting Astronomer, Cerro Tololo Inter-American Observatory.
CTIO is operated by AURA, Inc.
-\backslash
- under contract to the National Science Foundation.}
-\layout Standard
+\begin_inset space \space{}
+\end_inset
-\backslash
-altaffiltext{2}{Society of Fellows, Harvard University.}
-\layout Standard
+under contract to the National Science Foundation.
+\end_layout
-\backslash
-altaffiltext{3}{present address: Center for Astrophysics, 60 Garden Street,
- Cambridge, MA 02138}
-\layout Standard
+\begin_layout Altaffilation
+2
+\begin_inset ERT
+status collapsed
-\backslash
-altaffiltext{4}{Visiting Programmer, Space Telescope Science Institute}
-
-\layout Standard
+\begin_layout Plain Layout
+
+}{
+\end_layout
+
+\end_inset
+
+Society of Fellows, Harvard University.
+\end_layout
+
+\begin_layout Altaffilation
+3
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}{
+\end_layout
+
+\end_inset
+
+present address: Center for Astrophysics, 60 Garden Street, Cambridge, MA
+ 02138
+\end_layout
+
+\begin_layout Altaffilation
+4
+\begin_inset ERT
+status collapsed
-\backslash
-altaffiltext{5}{Patron, Alonso's Bar and Grill}
-\end_inset
+\begin_layout Plain Layout
+}{
+\end_layout
-\layout Abstract
+\end_inset
+Visiting Programmer, Space Telescope Science Institute
+\end_layout
+
+\begin_layout Altaffilation
+5
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}{
+\end_layout
+
+\end_inset
+
+Patron, Alonso's Bar and Grill
+\end_layout
+
+\begin_layout Abstract
This is a preliminary report on surface photometry of the major fraction
of known globular clusters, to see which of them show the signs of a collapsed
core.
We also explore some diversionary mathematics and recreational tables.
-\layout Keywords
+\end_layout
+\begin_layout Keywords
clusters: globular, peanut---bosons: bozos
-\layout Section
+\end_layout
+\begin_layout Section
Introduction
-\layout Standard
+\end_layout
+\begin_layout Standard
A focal problem today in the dynamics of globular clusters is core collapse.
It has been predicted by theory for decades
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citep{hen61,lyn68,spi85}
-\end_inset
+\end_layout
+
+\end_inset
, but observation has been less alert to the phenomenon.
For many years the central brightness peak in M15
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
citep{kin75,new78}
-\end_inset
+\end_layout
+
+\end_inset
seemed a unique anomaly.
Then
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citet{aur82}
-\end_inset
+\end_layout
+
+\end_inset
suggested a central peak in NGC 6397, and a limited photographic survey
of ours
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citep[Paper I]{djo84}
-\end_inset
+\end_layout
+
+\end_inset
found three more cases, including NGC 6624, whose sharp center had often
been remarked on
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
citep{can78}
-\end_inset
+\end_layout
+
+\end_inset
.
-\layout Section
+\end_layout
+\begin_layout Section
Observations
-\layout Standard
+\end_layout
+\begin_layout Standard
All our observations were short direct exposures with CCD's.
At Lick Observatory we used a TI 500
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
500 chip and a GEC 575
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
385, on the 1-m Nickel reflector.
The only filter available at Lick was red.
At CTIO we used a GEC 575
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
385, with
-\begin_inset Formula \( B,V, \)
-\end_inset
+\begin_inset Formula $B,V,$
+\end_inset
and
-\begin_inset Formula \( R \)
-\end_inset
+\begin_inset Formula $R$
+\end_inset
filters, and an RCA 512
-\begin_inset Formula \( \times \)
-\end_inset
+\begin_inset Formula $\times$
+\end_inset
320, with
-\begin_inset Formula \( U,B,V,R, \)
-\end_inset
+\begin_inset Formula $U,B,V,R,$
+\end_inset
and
-\begin_inset Formula \( I \)
-\end_inset
+\begin_inset Formula $I$
+\end_inset
filters, on the 1.5-m reflector.
In the CTIO observations we tried to concentrate on the shortest practicable
wavelengths; but faintness, reddening, and poor short-wavelength sensitivity
often kept us from observing in
-\begin_inset Formula \( U \)
-\end_inset
+\begin_inset Formula $U$
+\end_inset
or even in
-\begin_inset Formula \( B \)
-\end_inset
+\begin_inset Formula $B$
+\end_inset
.
All four cameras had scales of the order of 0.4 arcsec/pixel, and our field
sizes were around 3 arcmin.
-\layout Standard
+\end_layout
+\begin_layout Standard
The CCD images are unfortunately not always suitable, for very poor clusters
or for clusters with large cores.
Since the latter are easily studied by other means, we augmented our own
CCD profiles by collecting from the literature a number of star-count profiles
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citep{kin68,pet76,har84,ort85}
-\end_inset
+\end_layout
+
+\end_inset
, as well as photoelectric profiles
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
citep{kin66,kin75}
-\end_inset
+\end_layout
+
+\end_inset
and electronographic profiles
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
citep{kro84}
-\end_inset
+\end_layout
+
+\end_inset
.
In a few cases we judged normality by eye estimates on one of the Sky Surveys.
-\layout Section
+\end_layout
+\begin_layout Section
Helicity Amplitudes
-\layout Standard
+\end_layout
+\begin_layout Standard
It has been realized that helicity amplitudes provide a convenient means
for Feynman diagram
\begin_inset Foot
-collapsed true
-
-\layout Standard
+status collapsed
+\begin_layout Plain Layout
Footnotes can be inserted like this.
-\end_inset
+\end_layout
+
+\end_inset
evaluations.
These amplitude-level techniques are particularly convenient for calculations
amplitude squared becomes unwieldy.
Our calculations use the helicity techniques developed by other authors
-\begin_inset LatexCommand \cite{hag86}
+\begin_inset CommandInset citation
+LatexCommand cite
+key "hag86"
-\end_inset
+\end_inset
; we briefly summarize below.
-\layout Subsection
+\end_layout
+\begin_layout Subsection
Formalism
-\layout Standard
-
+\end_layout
-\begin_inset LatexCommand \label{bozomath}
+\begin_layout Standard
+\begin_inset CommandInset label
+LatexCommand label
+name "bozomath"
-\end_inset
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
A tree-level amplitude in
-\begin_inset Formula \( e^{+}e^{-} \)
-\end_inset
+\begin_inset Formula $e^{+}e^{-}$
+\end_inset
collisions can be expressed in terms of fermion strings of the form
-\begin_inset Formula \begin{equation}
-\bar{v}(p_{2},\sigma _{2})P_{-\tau }\hat{a}_{1}\hat{a}_{2}\cdots \hat{a}_{n}u(p_{1},\sigma _{1}),
+\begin_inset Formula
+\begin{equation}
+\bar{v}(p_{2},\sigma_{2})P_{-\tau}\hat{a}_{1}\hat{a}_{2}\cdots\hat{a}_{n}u(p_{1},\sigma_{1}),
\end{equation}
-\end_inset
+\end_inset
where
-\begin_inset Formula \( p \)
-\end_inset
+\begin_inset Formula $p$
+\end_inset
and
-\begin_inset Formula \( \sigma \)
-\end_inset
+\begin_inset Formula $\sigma$
+\end_inset
label the initial
-\begin_inset Formula \( e^{\pm } \)
-\end_inset
+\begin_inset Formula $e^{\pm}$
+\end_inset
four-momenta and helicities
-\begin_inset Formula \( (\sigma =\pm 1) \)
-\end_inset
+\begin_inset Formula $(\sigma=\pm1)$
+\end_inset
,
-\begin_inset Formula \( \hat{a}_{i}=a^{\mu }_{i}\gamma _{\nu } \)
-\end_inset
+\begin_inset Formula $\hat{a}_{i}=a_{i}^{\mu}\gamma_{\nu}$
+\end_inset
and
-\begin_inset Formula \( P_{\tau }=\frac{1}{2}(1+\tau \gamma _{5}) \)
-\end_inset
+\begin_inset Formula $P_{\tau}=\frac{1}{2}(1+\tau\gamma_{5})$
+\end_inset
is a chirality projection operator
-\begin_inset Formula \( (\tau =\pm1 ) \)
-\end_inset
+\begin_inset Formula $(\tau=\pm1)$
+\end_inset
.
The
-\begin_inset Formula \( a^{\mu }_{i} \)
-\end_inset
+\begin_inset Formula $a_{i}^{\mu}$
+\end_inset
may be formed from particle four-momenta, gauge-boson polarization vectors
or fermion strings with an uncontracted Lorentz index associated with final-sta
te fermions.
-\layout NoteToEditor
+\end_layout
+\begin_layout NoteToEditor
Figures 1 and 2 should appear side-by-side in print
-\layout Standard
+\end_layout
+\begin_layout Standard
In the chiral representation the
-\begin_inset Formula \( \gamma \)
-\end_inset
+\begin_inset Formula $\gamma$
+\end_inset
matrices are expressed in terms of
-\begin_inset Formula \( 2\times 2 \)
-\end_inset
+\begin_inset Formula $2\times2$
+\end_inset
Pauli matrices
-\begin_inset Formula \( \sigma \)
-\end_inset
+\begin_inset Formula $\sigma$
+\end_inset
and the unit matrix 1 as
-\begin_inset Formula \begin{eqnarray}
-\gamma ^{\mu } & = & \left( \begin{array}{cc}
-0 & \sigma ^{\mu }_{+}\\
-\sigma ^{\mu }_{-} & 0
-\end{array}\right) ,\gamma ^{5}=\left( \begin{array}{cc}
+\begin_inset Formula
+\begin{eqnarray*}
+\gamma^{\mu} & = & \left(\begin{array}{cc}
+0 & \sigma_{+}^{\mu}\\
+\sigma_{-}^{\mu} & 0
+\end{array}\right),\gamma^{5}=\left(\begin{array}{cc}
-1 & 0\\
0 & 1
-\end{array}\right) ,\nonumber \\
-\sigma ^{\mu }_{\pm } & = & ({\textbf {1}},\pm \sigma ),\nonumber
-\end{eqnarray}
+\end{array}\right),\\
+\sigma_{\pm}^{\mu} & = & ({\textbf{1}},\pm\sigma),
+\end{eqnarray*}
-\end_inset
+\end_inset
giving
-\begin_inset Formula \begin{equation}
-\hat{a}=\left( \begin{array}{cc}
+\begin_inset Formula
+\begin{equation}
+\hat{a}=\left(\begin{array}{cc}
0 & (\hat{a})_{+}\\
(\hat{a})_{-} & 0
-\end{array}\right) ,(\hat{a})_{\pm }=a_{\mu }\sigma ^{\mu }_{\pm },
+\end{array}\right),(\hat{a})_{\pm}=a_{\mu}\sigma_{\pm}^{\mu},
\end{equation}
-\end_inset
+\end_inset
The spinors are expressed in terms of two-component Weyl spinors as
-\begin_inset Formula \begin{equation}
-u=\left( \begin{array}{c}
+\begin_inset Formula
+\begin{equation}
+u=\left(\begin{array}{c}
(u)_{-}\\
(u)_{+}
-\end{array}\right) ,v={\textbf {(}}\vdag _{+}{\textbf {,}}\vdag _{-}{\textbf {)}}.
+\end{array}\right),v={\textbf{(}}\vdag_{+}{\textbf{,}}\vdag_{-}{\textbf{)}}.
\end{equation}
-\end_inset
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
The Weyl spinors are given in terms of helicity eigenstates
-\begin_inset Formula \( \chi _{\lambda }(p) \)
-\end_inset
+\begin_inset Formula $\chi_{\lambda}(p)$
+\end_inset
with
-\begin_inset Formula \( \lambda =\pm1 \)
-\end_inset
+\begin_inset Formula $\lambda=\pm1$
+\end_inset
by
-\layout MathLetters
+\end_layout
-
-\begin_inset Formula \begin{eqnarray}
-u(p,\lambda )_{\pm } & = & (E\pm \lambda |{\textbf {p}}|)^{1/2}\chi _{\lambda }(p),\\
-v(p,\lambda )_{\pm } & = & \pm \lambda (E\mp \lambda |{\textbf {p}}|)^{1/2}\chi _{-\lambda }(p)
+\begin_layout MathLetters
+\begin_inset Formula
+\begin{eqnarray}
+u(p,\lambda)_{\pm} & = & (E\pm\lambda|{\textbf{p}}|)^{1/2}\chi_{\lambda}(p),\\
+v(p,\lambda)_{\pm} & = & \pm\lambda(E\mp\lambda|{\textbf{p}}|)^{1/2}\chi_{-\lambda}(p)
\end{eqnarray}
-\end_inset
+\end_inset
-\layout Section
+\end_layout
+\begin_layout Section
Floating material and so forth
-\layout Standard
+\end_layout
+\begin_layout Standard
Consider a task that computes profile parameters for a modified Lorentzian
of the form
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
\end{equation}
-\end_inset
+\end_inset
where
-\begin_inset Formula \[
-d_{1}=\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{R_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\frac{y_{1}}{R_{min}}
-\end{array}\right) ^{2}}\]
+\begin_inset Formula
+\[
+d_{1}=\sqrt{\left(\begin{array}{c}
+\frac{x_{1}}{R_{maj}}\end{array}\right)^{2}+\left(\begin{array}{c}
+\frac{y_{1}}{R_{min}}\end{array}\right)^{2}}
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \[
-d_{2}=\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{PR_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\case {y_{1}}{PR_{min}}
-\end{array}\right) ^{2}}\]
+\begin_inset Formula
+\[
+d_{2}=\sqrt{\left(\begin{array}{c}
+\frac{x_{1}}{PR_{maj}}\end{array}\right)^{2}+\left(\begin{array}{c}
+\case{y_{1}}{PR_{min}}\end{array}\right)^{2}}
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \[
-x_{1}=(x-x_{0})\cos \Theta +(y-y_{0})\sin \Theta \]
+\begin_inset Formula
+\[
+x_{1}=(x-x_{0})\cos\Theta+(y-y_{0})\sin\Theta
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \[
-y_{1}=-(x-x_{0})\sin \Theta +(y-y_{0})\cos \Theta \]
+\begin_inset Formula
+\[
+y_{1}=-(x-x_{0})\sin\Theta+(y-y_{0})\cos\Theta
+\]
-\end_inset
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
In these expressions
-\begin_inset Formula \( x_{0} \)
-\end_inset
+\begin_inset Formula $x_{0}$
+\end_inset
,
-\begin_inset Formula \( y_{0} \)
-\end_inset
+\begin_inset Formula $y_{0}$
+\end_inset
is the star center, and
-\begin_inset Formula \( \Theta \)
-\end_inset
+\begin_inset Formula $\Theta$
+\end_inset
is the angle with the
-\begin_inset Formula \( x \)
-\end_inset
+\begin_inset Formula $x$
+\end_inset
axis.
- Results of this task are shown in table\SpecialChar ~
+ Results of this task are shown in table
+\begin_inset space ~
+\end_inset
+
-\begin_inset LatexCommand \ref{tbl-2}
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tbl-2"
-\end_inset
+\end_inset
.
It is not clear how these sorts of analyses may affect determination of
-\begin_inset Formula \( M_{\sun } \)
-\end_inset
-
-, but the assumption is that the alternate results should be less than 90
-\begin_inset ERT
-status Collapsed
-
-\layout Standard
-
-\backslash
-degr
-\backslash
-
-\end_inset
+\begin_inset Formula $M_{\sun}$
+\end_inset
-out of phase with previous values.
+, but the assumption is that the alternate results should be less than 90°
+ out of phase with previous values.
We have no observations of
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
ion{Ca}{2}
-\end_inset
+\end_layout
+
+\end_inset
.
Roughly
\begin_inset ERT
-status Collapsed
+status collapsed
-\layout Standard
+\begin_layout Plain Layout
-\backslash
+
+\backslash
slantfrac{4}{5}
-\end_inset
+\end_layout
+
+\end_inset
of the electronically submitted abstracts for AAS meetings are error-free.
-\layout Acknowledgements
+\end_layout
+
+\begin_layout Acknowledgements
-\layout Standard
+\end_layout
+\begin_layout Standard
We are grateful to V.
Barger, T.
Han, and R.
J.
N.
- Phillips for doing the math in section\SpecialChar ~
+ Phillips for doing the math in section
+\begin_inset space ~
+\end_inset
-\begin_inset LatexCommand \ref{bozomath}
-\end_inset
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "bozomath"
+
+\end_inset
.
More information on the AASTeX macros package are available at
+\begin_inset Flex URL
+status collapsed
-\begin_inset LatexCommand \url{http://www.aas.org/publications/aastex}
+\begin_layout Plain Layout
-\end_inset
+http://www.aas.org/publications/aastex
+\end_layout
+\end_inset
or the
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
-\backslash
+\backslash
anchor{ftp://www.aas.org/pubs/}{AAS ftp site}
-\end_inset
+\end_layout
+
+\end_inset
.
-\layout Appendix
+\end_layout
-\layout Section
+\begin_layout Appendix
+\end_layout
+
+\begin_layout Section
Appendicial material
-\layout Standard
+\end_layout
+\begin_layout Standard
Consider once again a task that computes profile parameters for a modified
Lorentzian of the form
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
I=\frac{1}{1+d_{1}^{P(1+d_{2})}}
\end{equation}
-\end_inset
+\end_inset
where
-\layout MathLetters
-
+\end_layout
-\begin_inset Formula \[
-d_{1}=\frac{3}{4}\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{R_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\frac{y_{1}}{R_{min}}
-\end{array}\right) ^{2}}\]
+\begin_layout MathLetters
+\begin_inset Formula
+\[
+d_{1}=\frac{3}{4}\sqrt{\left(\begin{array}{c}
+\frac{x_{1}}{R_{maj}}\end{array}\right)^{2}+\left(\begin{array}{c}
+\frac{y_{1}}{R_{min}}\end{array}\right)^{2}}
+\]
-\end_inset
+\end_inset
-\begin_inset Formula \begin{equation}
-d_{2}=\case {3}{4}\sqrt{\left( \begin{array}{c}
-\frac{x_{1}}{PR_{maj}}
-\end{array}\right) ^{2}+\left( \begin{array}{c}
-\case {y_{1}}{PR_{min}}
-\end{array}\right) ^{2}}
+\begin_inset Formula
+\begin{equation}
+d_{2}=\case{3}{4}\sqrt{\left(\begin{array}{c}
+\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
+\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
+\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
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
For completeness, here is one last equation.
-\begin_inset Formula \begin{equation}
+\begin_inset Formula
+\begin{equation}
e=mc^{2}
\end{equation}
-\end_inset
+\end_inset
+
+\end_layout
-\layout References
-\bibitem [Auri\`ere(1982)]{aur82}
+\begin_layout References
+\begin_inset CommandInset bibitem
+LatexCommand bibitem
+label "Auri\\`ere(1982)"
+key "aur82"
-Auri\i \`{e}
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-status Collapsed
+\begin_inset Flex tablenotemark
+status open
+
+\begin_layout Plain Layout
+c
+\end_layout
-\layout Standard
+\end_inset
-\backslash
-tablenotemark{c}
-\end_inset
+\end_layout
-\end_inset
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-0.5
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
41
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
54.8
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
2.282
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
2.156
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
4.313
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
117.4
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
78.2
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-35.847
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
5,6
-\end_inset
+\end_layout
+
+\end_inset
</cell>
</row>
<row>
<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
5
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
9607.4
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
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-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
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-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
60
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+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
1.4
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
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-\begin_inset ERT
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+\begin_inset Flex tablenotemark
+status collapsed
+
+\begin_layout Plain Layout
+c
+\end_layout
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+\end_inset
-\backslash
-tablenotemark{c}
-\end_inset
+\end_layout
-\end_inset
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
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+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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+\begin_layout Plain Layout
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+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
8.0
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
8.9
-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
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-\end_inset
+\end_layout
+
+\end_inset
</cell>
<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
7
-\end_inset
+\end_layout
+
+\end_inset
</cell>
</row>
<row>
-<cell alignment="center" valignment="top" bottomline="true" usebox="none">
+<cell alignment="center" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
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-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
31638.6
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
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-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
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-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
39
-\end_inset
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+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
315.2
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
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-
+\begin_layout Plain Layout
3.433
-\end_inset
+\end_layout
+
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</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
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-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
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7.488
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
92.1
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
25.3
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
-12.052
-\end_inset
+\end_layout
+
+\end_inset
</cell>
-<cell alignment="right" valignment="top" bottomline="true" usebox="none">
+<cell alignment="right" valignment="top" usebox="none">
\begin_inset Text
-\layout Standard
-
+\begin_layout Plain Layout
8
-\end_inset
+\end_layout
+
+\end_inset
</cell>
</row>
</lyxtabular>
-\end_inset
+\end_inset
+
+
+\end_layout
+
+\begin_layout Table note
+a
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}{
+\end_layout
+
+\end_inset
+Sample footnote for table
+\begin_inset space ~
+\end_inset
-\layout Standard
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tbl-2"
+\end_inset
+
+ that was generated with the LaTeX table environment
+\end_layout
+
+\begin_layout Table note
+b
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
+}{
+\end_layout
-\backslash
-tablenotetext{a}{Sample footnote for table~
-\backslash
-ref{tbl-2} that was generated with the
-\backslash
-LaTeX
-\backslash
- table environment}
-\layout Standard
+\end_inset
-\backslash
-tablenotetext{b}{Yet another sample footnote for table~
-\backslash
-ref{tbl-2}}
-\layout Standard
+Yet another sample footnote for table
+\begin_inset space ~
+\end_inset
-\backslash
-tablenotetext{c}{Another sample footnote for table~
-\backslash
-ref{tbl-2}}
-\end_inset
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tbl-2"
-\layout TableComments
+\end_inset
+
+\end_layout
+
+\begin_layout Table note
+c
+\begin_inset ERT
+status collapsed
+
+\begin_layout Plain Layout
+
+}{
+\end_layout
+
+\end_inset
+
+Another sample footnote for table
+\begin_inset space ~
+\end_inset
+
+
+\begin_inset CommandInset ref
+LatexCommand ref
+reference "tbl-2"
+
+\end_inset
+
+
+\end_layout
+
+\begin_layout TableComments
We can also attach a long-ish paragraph of explanatory material to a table.
Use
-\backslash
+\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
+\end_layout
+\begin_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
1984; (23) Spite & Spite 1986; (24) Hobbs & Thorburn 1991; (25) Hobbs et
al.
1991; (26) Olsen 1983.
-\end_inset
+\end_layout
+
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
% LyX can load deluxetable files verbatim.
To see this in action, uncomment the following
-\end_inset
+\end_layout
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
% line (delete the
-\end_inset
+\end_layout
+
+\end_inset
\begin_inset Quotes eld
-\end_inset
+\end_inset
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
%
-\end_inset
+\end_layout
+
+\end_inset
\begin_inset Quotes erd
-\end_inset
+\end_inset
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
) and copy the file table.tex from the AASTeX 5.0 distribution into
-\end_inset
+\end_layout
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
% the same directory as this file.
-\end_inset
+\end_layout
+\end_inset
-\layout Standard
+\end_layout
+\begin_layout Standard
\begin_inset ERT
-status Collapsed
+status collapsed
+
+\begin_layout Plain Layout
-\layout Standard
%
-\end_inset
+\end_layout
+
+\end_inset
-\begin_inset Include \input{table}
+\begin_inset CommandInset include
+LatexCommand input
+filename "table"
-\end_inset
+\end_inset
+\end_layout
-\the_end
+\end_body
+\end_document
projects / lyx.git / blobdiff