<html><head><meta name="color-scheme" content="light dark"></head><body><pre style="word-wrap: break-word; white-space: pre-wrap;">\def\revtex@ver{1.1}		
\def\revtex@date{10 Jan 93}	
\def\revtex@org{AAS}		
\def\revtex@jnl{AJ}		
\def\revtex@genre{plano tables}	
\typeout{\revtex@org\space \revtex@jnl\space \revtex@genre\space substyle,
v\revtex@ver\space &lt;\revtex@date&gt;.}
\def\revtex@pageid{\xdef\@thefnmark{\null}
\@footnotetext{This \revtex@genre\space was prepared with the
		   \revtex@org\space \LaTeX\ macros v\revtex@ver.}}
\def\genre@MS{manuscript}
\ifx\revtex@genre\genre@MS
\ifnum\@ptsize&lt;2
\typeout{Warning: Undersize \revtex@genre\space font (1\@ptsize\space pts).
	Use 12pt documentstyle option.}
\fi
\fi
\ps@plain			
\def\ps@plaintop{\let\@mkboth\@gobbletwo
\def\@oddfoot{}\def\@oddhead{\rm\hfil--\space\thepage\space--\hfil}
\def\@evenfoot{}\let\@evenhead\@oddhead}
\newdimen\@fmwidth \@fmwidth=44pc	
\newdimen\@bodywidth \@bodywidth=44pc	
\textwidth=\@bodywidth
\textheight=8.9in
\topmargin=0in
\headheight=0in
\headsep=0in
\oddsidemargin=0in
\evensidemargin=0in
\parindent=1em
\parskip=0ex
\columnsep=1pc
\hoffset=-2.5pc		
\tolerance=400		
\def\ptlandscape{\textwidth=9in \textheight=6.5in \hoffset=0in}
\def\@tightleading{1.1}
\def\@doubleleading{1.6}
\def\tighten=\relax
\let\tightenlines=\tighten
\def\singlespace{\def\baselinestretch{\@tightleading}\normalsize}
\def\doublespace{\def\baselinestretch{\@doubleleading}\normalsize}
\def\sec@upcase#1{\relax{#1}}
\def\eqsecnum{
\@newctr{equation}[section]
\def\theequation{\hbox{\normalsize\arabic{section}-\arabic{equation}}}}
\def\@journalname{The Astropolitical Journal}
\def\cpr@holder{American Astronomical Society}
\def\received#1{\gdef\@recvdate{#1}} \received{\relax}
\def\revised#1{\gdef\@revisedate{#1}} \revised{\relax}
\def\accepted#1{\gdef\@accptdate{#1}} \accepted{\relax}
\def\journalid#1#2{\gdef\@jourvol{#1}\gdef\@jourdate{#2}}
\def\articleid#1#2{\gdef\@startpage{#1}\gdef\@finishpage{#2}}
\def\paperid#1{\gdef\@paperid{#1}} \paperid{MS-0001-SAMP}
\def\ccc#1{\gdef\CCC@code{#1}} \ccc{000-00\$75.95-CDB}
\def\cpright#1#2{\@nameuse{cpr@#1} \gdef\cpr@year{#2}
\typeout{`#1' copyright \cpr@year.}}
\newcount\@cprtype \@cprtype=\@ne	
\def\cpr@AAS{\@cprtype=1}
\def\cpr@PD{\@cprtype=2}
\def\cpr@Crown{\@cprtype=3}
\def\cpr@none{\@cprtype=4}
\def\cpr@year{\number\year}		
\def\@slug{\par\noindent
\ifcase\@cprtype
	\relax
\or
	Copyright \cpr@year\space by the \cpr@holder.
\or
	This article is in the public domain.
\or
	Crown copyright \cpr@year\space by the \cpr@holder.
\or
	No copyright is claimed for this article.
\fi
\par\noindent
Manuscript number \@paperid.\par\noindent
\CCC@code
}
\def\lefthead#1{\gdef\@versohead{#1}} \lefthead{\relax}
\def\righthead#1{\gdef\@rectohead{#1}} \righthead{\relax}
\def\@runheads{\@tempcnta\c@page
\@whilenum \@tempcnta &gt;0\do{
\vskip 3ex
\hbox to30pc{\small\expandafter\uppercase\expandafter{\@versohead}:
	\expandafter\uppercase\expandafter{\@rectohead}\hfil}
\advance\@tempcnta by\m@ne}
}
\def\slugcomment#1{\gdef\slug@comment{#1}} \slugcomment{\relax}
\def\@rcvaccrule{\vrule\@width1.75in\@height0.5pt\@depth\z@}
\def\@dates{{Received}\space%
\if\@recvdate\relax\@rcvaccrule\else\@recvdate\fi;%
\hspace{1.5em}{accepted}\space%
\if\@accptdate\relax\@rcvaccrule\else\@accptdate\fi%
}
\def\sluginfo{{\center
\@dates


\endcenter}}
\let\dates=\sluginfo	
\def\abstract{\sluginfo\clearpage
\begin{center}
{\bf{ABSTRACT}}
\end{center}
\quotation
}
\def\title#1{{\def\baselinestretch{\@tightleading}
\center\large\bf{#1}\endcenter}
\thispagestyle{empty}}
\def\author#1{{\topsep\z@\center\normalsize#1\endcenter}}
\let\authoraddr=\@gobble
\def\affil#1{\vspace*{-2.5ex}{\topsep\z@\center#1\endcenter}}
\def\altaffilmark#1{$^{#1}$}
\def\altaffiltext#1#2{\footnotetext[#1]{#2}\stepcounter{footnote}}
\def\and{\vspace*{-0.5ex}{\topsep\z@\center and\endcenter}}
\def\@keywordtext{Subject headings}
\def\@keyworddelim{---}
\def\keywords#1{\vspace*{-.7ex}
\if@twocolumn\noindent{{\it\@keywordtext:\/}\space\@kwds{#1}}
\else{\quote{\it\@keywordtext:\/}\space\@kwds{#1}\endquote}
\fi}
\let\subjectheadings=\keywords
\def\@kwds#1{\def\@kwddlm{}\@for\@kwd:=#1\do
{\@kwddlm\def\@kwddlm{\space\@keyworddelim\penalty\@m\space}{\@kwd}}}
\skip\footins 4ex plus 1ex minus .5ex
\footnotesep 3ex
\def\section{\@startsection {section}{1}{\z@}
{5ex plus .5ex}{1ex plus .2ex}{\normalsize\bf}}
\def\subsection{\@startsection{subsection}{2}{\z@}
{5ex plus .5ex}{1ex plus .2ex}{\normalsize\bf}}
\def\subsubsection{\@startsection{subsubsection}{3}{\z@}
{5ex plus .5ex}{1ex plus .2ex}{\normalsize\it}}
\def\thesection{\@arabic{\c@section}.}
\def\thesubsection{\thesection\@arabic{\c@subsection}.}
\def\thesubsubsection{\thesubsection\@arabic{\c@subsubsection}.}
\def\theparagraph{\thesubsubsection\@arabic{\c@paragraph}:}
\def\acknowledgments{\vskip 3ex plus .8ex minus .4ex}
\let\acknowledgements=\acknowledgments			
\def\@sect#1#2#3#4#5#6[#7]#8{\ifnum #2&gt;\c@secnumdepth
\def\@svsec{}\else
\refstepcounter{#1}\edef\@svsec{\csname the#1\endcsname\hskip 1em }\fi
\@tempskipa #5\relax
\ifdim \@tempskipa&gt;\z@
\begingroup \center#6\relax
\@hangfrom{\hskip #3\relax\@svsec}{\interlinepenalty \@M
	  \sec@upcase{#8}\par}%
\endcenter\endgroup
\csname #1mark\endcsname{#7}\addcontentsline
{toc}{#1}{\ifnum #2&gt;\c@secnumdepth \else
\protect\numberline{\csname the#1\endcsname}\fi
#7}\else
\def\@svsechd{#6\hskip #3\@svsec \sec@upcase{#8}\csname #1mark\endcsname
{#7}\addcontentsline
{toc}{#1}{\ifnum #2&gt;\c@secnumdepth \else
\protect\numberline{\csname the#1\endcsname}\fi
#7}}\fi
\@xsect{#5}}
\def\@ssect#1#2#3#4#5{\@tempskipa #3\relax
\ifdim \@tempskipa&gt;\z@
\begingroup #4\center\@hangfrom{\hskip #1}{\interlinepenalty \@M
\sec@upcase{#5}\par}\endcenter\endgroup
\else \def\@svsechd{#4\hskip #1\relax \sec@upcase{#5}}\fi
\@xsect{#3}}
\def\appendix{\par
\setcounter{section}{0}
\setcounter{subsection}{0}
\setcounter{equation}{0}
\def\thesection{\Alph{section}.}
\def\theequation{\hbox{\normalsize\Alph{section}\arabic{equation}}}}
\newcounter{cureqno}
\newenvironment{mathletters}{\refstepcounter{equation}%
\setcounter{cureqno}{\value{equation}}%
\let\@curtheeqn\theequation%
\edef\cur@eqn{\csname theequation\endcsname}%
\def\theequation{\cur@eqn\alph{equation}}%
\setcounter{equation}{0}}%
{\let\theequation\@curtheeqn%
\setcounter{equation}{\value{cureqno}}}
\def\eqnum#1{\def\theequation{#1}\let\@currentlabel\theequation
\addtocounter{equation}{\m@ne}}
\def\references{\subsection*{REFERENCES}
\bgroup\parindent=\z@\parskip=\itemsep
\def\refpar{\par\hangindent=3em\hangafter=1}}
\def\endreferences{\refpar\egroup\revtex@pageid}
\def\thebibliography{\subsection*{REFERENCES}
\list{\null}{\leftmargin 3em\labelwidth\z@\labelsep\z@\itemindent -3em
\usecounter{enumi}}
\def\refpar{\relax}
\def\newblock{\hskip .11em plus .33em minus .07em}
\sloppy\clubpenalty4000\widowpenalty4000
\sfcode`\.=1000\relax}
\def\endthebibliography{\endlist\revtex@pageid}
\def\@biblabel#1{\relax}
\def\@cite#1#2{#1\if@tempswa , #2\fi}
\def\reference{\relax\refpar}
\def\markcite#1{#1\relax}
\def\@citex[#1]#2{\if@filesw\immediate\write\@auxout{\string\citation{#2}}\fi
\def\@citea{}\@cite{\@for\@citeb:=#2\do
{\@citea\def\@citea{,\penalty\@m\ }\@ifundefined
{b@\@citeb}{\@warning
{Citation `\@citeb' on page \thepage \space undefined}}%
{\csname b@\@citeb\endcsname}}}{#1}}
\let\keywords=\@gobble
\let\subjectheadings=\@gobble
\def\tablenotemark#1{\rlap{$^{\rm #1}$}}
\newtoks\@temptokenb
\def\tblnote@list{}
\def\tablenotetext#1#2{
\@temptokena={\vspace{.5ex}{\noindent\llap{$^{#1}$}#2}\par}
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}
\def\spew@tblnotes{
\ifx\tblnote@list\@empty\relax
\else
\vspace{4.5ex}
\footnoterule
\vspace{.5ex}
{\footnotesize\tblnote@list}
\gdef\tblnote@list{}
\fi}
\def\endtable{\spew@tblnotes\end@float}
\@namedef{endtable*}{\spew@tblnotes\end@dblfloat}
\let\tableline=\hline
\long\def\@makecaption#1#2{\vskip 2ex\noindent #1 #2\par}
\def\tablenum#1{\def\thetable{#1}\let\@currentlabel\thetable
\addtocounter{table}{\m@ne}}
\def\figurenum#1{\def\thefigure{#1}\let\@currentlabel\thefigure
\addtocounter{figure}{\m@ne}}
\newbox\pt@box
\newdimen\pt@width
\newcount\pt@line
\newcount\pt@nlines
\newcount\pt@ncol
\def\colhead#1{\omit\hidewidth{#1}\hidewidth\global\advance\pt@ncol by\@ne}
\def\tablecaption#1{\gdef\pt@caption{#1}} \def\pt@caption{\relax}
\def\tablehead#1{\gdef\pt@head{
#1\hskip\tabcolsep\\[.7ex]\hline\relax\\[-1.5ex]}} \def\pt@head{\relax}
\def\tabletail#1{\gdef\pt@tail{#1}} \def\pt@tail{\relax}
\def\tablewidth#1{\pt@width=#1} \pt@width\textwidth
\def\tableheadfrac#1{\gdef\pt@headfrac{#1}} \def\pt@headfrac{.1}
\def\pt@calcnlines{\@tempdima\pt@headfrac\textheight
\@tempdimb\textheight\advance\@tempdimb by-\@tempdima
\@tempdima\arraystretch\baselineskip
\divide\@tempdimb by\@tempdima
\global\pt@nlines\@tempdimb}
\def\pt@tabular{\hbox \bgroup $\let\@acol\@ptabacol
\let\@classz\@tabclassz
\let\@classiv\@tabclassiv \let\\\@tabularcr\@tabarray}
\def\@ptabacol{\edef\@preamble{\@preamble \hskip \tabcolsep\tabskip\fill}}
\def\fnum@ptable{Table \thetable.}
\def\fnum@ptablecont{Table \thetable.\space{\rm (continued)}}
\def\set@mkcaption{\long\def\@makecaption##1##2{
\center\large{\sc##1}\space##2\endcenter\vskip 1.5ex}}
\def\set@mkcaptioncont{\long\def\@makecaption##1##2{
\center\large{\sc##1}\endcenter\vskip 1.5ex}}
\newenvironment{planotable}[1]{\def\pt@format{\string#1}%
\set@tblnotetext\pt@ncol=0}%
{\crcr\noalign{\vskip .7ex}\hline\hline\endtabular%
\pt@width\wd\pt@box\box\pt@box\spew@ptblnotes%
\typeout{Table \thetable\space has been set to width \the\pt@width}%
\endcenter\end@float}
\def\startdata{\pt@line=0\pt@calcnlines%
\ifdim\pt@width&gt;\z@\def\@halignto{to \pt@width}\else\def\@halignto{}\fi%
\let\fnum@table=\fnum@ptable\set@mkcaption%
\@float{table}\center\caption{\pt@caption}\leavevmode%
\setbox\pt@box=\pt@tabular{\pt@format}%
\hline\hline\relax\\[-1.7ex]\pt@head}
\def\pt@nl{\global\advance\pt@line by\@ne%
\ifnum\pt@line=\pt@nlines%
\\\noalign{\vskip .7ex}\hline\endtabular\box\pt@box%
\endcenter\end@float\clearpage%
\addtocounter{table}{\m@ne}%
\let\fnum@table=\fnum@ptablecont\set@mkcaptioncont%
\@float{table}\center\caption{\pt@caption}\leavevmode%
\global\pt@ncol=0%
\setbox\pt@box=\pt@tabular{\pt@format}%
\hline\relax\\[-1.7ex]\pt@head%
\global\pt@line=0%
\else\\
\fi}
\let\nl=\pt@nl
\let\nextline=\pt@nl
\def\tablevspace#1{\noalign{\vskip{#1}}}
\def\tablebreak{\pt@line\pt@nlines\advance\pt@line by\m@ne\pt@nl}
\def\cutinhead#1{\noalign{\vskip 1.5ex}
\hline\pt@nl\noalign{\vskip -4ex}
\multicolumn{\pt@ncol}{c}{#1}\pt@nl
\noalign{\vskip .8ex}
\hline\pt@nl\noalign{\vskip -2ex}}
\def\sidehead#1{\noalign{\vskip 1.5ex}
\multicolumn{\pt@ncol}{@{\hskip\z@}l}{#1}\pt@nl
\noalign{\vskip .5ex}}
\def\set@tblnotetext{\def\tablenotetext##1##2{{%
\@temptokena={\vspace{0ex}{%
\parbox{\pt@width}{\hskip1em$^{\rm ##1}$##2}\par}}%
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}}}
\def\spew@ptblnotes{
\ifx\tblnote@list\@empty\relax
\else
\par
\vspace{2ex}
{\tblnote@list}
\gdef\tblnote@list{}
\fi}
\def\tablerefs#1{\@temptokena={\vspace*{2.0ex}{%
{\rm References for Table \thetable.}\\%
\vspace*{1.6ex}%
\parbox{\pt@width}{#1}\par}}%
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}
\def\tablecomments#1{\@temptokena={\vspace*{2.0ex}{%
{\rm Notes to Table \thetable.}\\%
\vspace*{1.6ex}%
\parbox{\pt@width}{#1}\par}}%
\@temptokenb=\expandafter{\tblnote@list}
\xdef\tblnote@list{\the\@temptokenb\the\@temptokena}}
\def\thefigure{\@arabic\c@figure}
\def\fnum@figure{{\rm Fig.\space\thefigure.---}}
\def\thetable{\@arabic\c@table}
\def\fnum@table{{\rm Table \thetable:}}
\def\fps@figure{bp}
\def\fps@table{bp}
\@ifundefined{epsfbox}{\@input{epsf.sty}}{\relax}
\def\plotone#1{\centering \leavevmode
\epsfxsize=\columnwidth \epsfbox{#1}}
\def\plottwo#1#2{\centering \leavevmode
\epsfxsize=.45\columnwidth \epsfbox{#1} \hfil
\epsfxsize=.45\columnwidth \epsfbox{#2}}
\def\plotfiddle#1#2#3#4#5#6#7{\centering \leavevmode
\vbox to#2{\rule{0pt}{#2}}
\special{psfile=#1 voffset=#7 hoffset=#6 vscale=#5 hscale=#4 angle=#3}}
\let\jnl@style=\rm
\def\ref@jnl#1{{\jnl@style#1}}
\def\aj{\ref@jnl{AJ}}			
\def\araa{\ref@jnl{ARA\&amp;A}}		
\def\apj{\ref@jnl{ApJ}}			
\def\apjl{\ref@jnl{ApJ}}		
\def\apjs{\ref@jnl{ApJS}}		
\def\ao{\ref@jnl{Appl.Optics}}		
\def\apss{\ref@jnl{Ap\&amp;SS}}		
\def\aap{\ref@jnl{A\&amp;A}}		
\def\aapr{\ref@jnl{A\&amp;A~Rev.}}		
\def\aaps{\ref@jnl{A\&amp;AS}}		
\def\azh{\ref@jnl{AZh}}			
\def\baas{\ref@jnl{BAAS}}		
\def\jrasc{\ref@jnl{JRASC}}		
\def\memras{\ref@jnl{MmRAS}}		
\def\mnras{\ref@jnl{MNRAS}}		
\def\pra{\ref@jnl{Phys.Rev.A}}		
\def\prb{\ref@jnl{Phys.Rev.B}}		
\def\prc{\ref@jnl{Phys.Rev.C}}		
\def\prd{\ref@jnl{Phys.Rev.D}}		
\def\prl{\ref@jnl{Phys.Rev.Lett}}	
\def\pasp{\ref@jnl{PASP}}		
\def\pasj{\ref@jnl{PASJ}}		
\def\qjras{\ref@jnl{QJRAS}}		
\def\skytel{\ref@jnl{S\&amp;T}}		
\def\solphys{\ref@jnl{Solar~Phys.}}	
\def\sovast{\ref@jnl{Soviet~Ast.}}	
\def\ssr{\ref@jnl{Space~Sci.Rev.}}	
\def\zap{\ref@jnl{ZAp}}			
\let\astap=\aap
\let\apjlett=\apjl
\let\apjsupp=\apjs
\def\deg{\hbox{$^\circ$}}
\def\sun{\hbox{$\odot$}}
\def\earth{\hbox{$\oplus$}}
\def\lesssim{\mathrel{\hbox{\rlap{\hbox{\lower4pt\hbox{$\sim$}}}\hbox{$&lt;$}}}}
\def\gtrsim{\mathrel{\hbox{\rlap{\hbox{\lower4pt\hbox{$\sim$}}}\hbox{$&gt;$}}}}
\def\sq{\hbox{\rlap{$\sqcap$}$\sqcup$}}
\def\arcmin{\hbox{$^\prime$}}
\def\arcsec{\hbox{$^{\prime\prime}$}}
\def\fd{\hbox{$.\!\!^{\rm d}$}}
\def\fh{\hbox{$.\!\!^{\rm h}$}}
\def\fm{\hbox{$.\!\!^{\rm m}$}}
\def\fs{\hbox{$.\!\!^{\rm s}$}}
\def\fdg{\hbox{$.\!\!^\circ$}}
\def\farcm{\hbox{$.\mkern-4mu^\prime$}}
\def\farcs{\hbox{$.\!\!^{\prime\prime}$}}
\def\fp{\hbox{$.\!\!^{\scriptscriptstyle\rm p}$}}
\def\micron{\hbox{$\mu$m}}
\let\la=\lesssim			
\let\ga=\gtrsim
\def\case#1#2{\hbox{$\frac{#1}{#2}$}}


\def\slantfrac#1#2{\hbox{$\,^#1\!/_#2$}}
\def\onehalf{\slantfrac{1}{2}}
\def\onethird{\slantfrac{1}{3}}
\def\twothirds{\slantfrac{2}{3}}
\def\onequarter{\slantfrac{1}{4}}
\def\threequarters{\slantfrac{3}{4}}
\def\ubvr{\hbox{$U\!BV\!R$}}		
\def\ub{\hbox{$U\!-\!B$}}		
\def\bv{\hbox{$B\!-\!V$}}		
\def\vr{\hbox{$V\!-\!R$}}		
\def\ur{\hbox{$U\!-\!R$}}		
\def\ion#1#2{#1$\;${\small\rm\@Roman{#2}}\relax}
\def\nodata{\multicolumn{1}{c}{---}}
\newcount\lecurrentfam
\def\LaTeX{\lecurrentfam=\the\fam \leavevmode L\raise.42ex
\hbox{$\fam\lecurrentfam\scriptstyle\kern-.3em A$}\kern-.15em\TeX}
\def\sizrpt{
(\fontname\the\font): em=\the\fontdimen6\font, ex=\the\fontdimen5\font
\typeout{
(\fontname\the\font): em=\the\fontdimen6\font, ex=\the\fontdimen5\font
}}

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