mirror of
https://asciireactor.com/otho/phy-4660.git
synced 2024-11-22 23:55:06 +00:00
145 lines
4.1 KiB
TeX
145 lines
4.1 KiB
TeX
\newcommand{\Msun}{\mathrm{M}_\odot}
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\newcommand{\Mjup}{\mathrm{M_{Jup}}}
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\newcommand{\AU}{\mathrm{AU}}
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\newcommand{\yr}{\mathrm{yr}}
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\def\t{\thinspace}
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\def\msol{{\rm\thinspace M${}_\odot$}}
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\def\fig{{\rm\thinspace Figure}}
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\def\kms{{km s${}^{-1}$}}
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\def\etal{{\it et al.\thinspace}}
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\def\eg{{\it e.g.\ }}
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\def\etc{{\it etc.\ }}
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\def\ie{{\it i.e.\ }}
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\def\cf{{\it c.f.\ }}
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\def\msolyr{{\rm\thinspace M${}_\odot\; {\rm yr}^{-1}$}}
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\def\gcm3{{g cm${}^{-3}$}}
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% Simple units
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\def\arcsec{\hbox{$^{\prime\prime}$}}
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\def\cm{{\rm\thinspace cm}}
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\def\deg{^o}
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\def\erg{{\rm\thinspace erg}}
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\def\eV{{\rm\thinspace eV}}
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\def\g{{\rm\thinspace g}}
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\def\ga{{\rm\thinspace gauss}}
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\def\K{{\rm\thinspace K}}
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\def\keV{{\rm\thinspace keV}}
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\def\km{{\rm\thinspace km}}
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\def\kpc{{\rm\thinspace kpc}}
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\def\Lsun{\hbox{$\rm\thinspace L_{\odot}$}}
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\def\m{{\rm\thinspace m}}
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\def\mag{{\rm\thinspace mag}}
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\def\Mpc{{\rm\thinspace Mpc}}
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\def\Msun{\hbox{$\rm\thinspace M_{\odot}$}}
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\def\msol{\hbox{$\rm\thinspace M_{\odot}$}}
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\def\msolyr{\hbox{$\rm\thinspace M_{\odot} \; {\rm yr}^{-1}$}}
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\def\pc{{\rm\thinspace pc}}
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\def\s{{\rm\thinspace s}}
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\def\st{{\rm\thinspace ster}}
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\def\yr{{\rm\thinspace yr}}
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\def\yrs{{\rm\thinspace yrs}}
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\def\h50{\hbox{$\rm\thinspace h_{50}$}}
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\def\h50m1{\hbox{$\rm\thinspace h_{50}^{-1}$}}
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% Compound units
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\def\cmps{\hbox{$\cm\s^{-1}\,$}}
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\def\col{\hbox{$\cm^{-2}\,$}}
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\def\ergpcmps{\hbox{$\erg\cm^{-3}\s^{-1}\,$}}
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\def\ergps{\hbox{$\erg\s^{-1}\,$}}
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\def\flux{\hbox{$\keV\cm^{-2}\s^{-1}\st^{-1}\keV^{-1}\,$}}
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\def\gpcm{\hbox{$\g\cm^{-3}\,$}}
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\def\gpcmps{\hbox{$\g\cm^{-3}\s^{-1}\,$}}
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\def\gps{\hbox{$\g\s^{-1}\,$}}
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\def\kmps{\hbox{$\km\s^{-1}\,$}}
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\def\kmpspMpc{\hbox{$\km\s^{-1}\Mpc^{-1}\,$}}
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\def\Lsunppc{\hbox{$\Lsun\pc^{-3}\,$}}
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\def\Msunpc{\hbox{$\Msun\pc^{-3}\,$}}
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\def\Msunpkpc{\hbox{$\Msun\kpc^{-1}\,$}}
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\def\Msunppc{\hbox{$\Msun\pc^{-3}\,$}}
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\def\Msunppcpyr{\hbox{$\Msun\pc^{-3}\yr^{-1}\,$}}
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\def\Msunpyr{\hbox{$\Msun\yr^{-1}\,$}}
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\def\Msunpyrpkpc{\hbox{$\Msun\yr^{-1}\kpc^{-1}\,$}}
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\def\pcm{\hbox{$\cm^{-3}\,$}}
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\def\pcmK{\hbox{$\cm^{-3}\K$}}
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\def\pyr{\hbox{$\yr^{-1}\,$}}
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\def\Msun{\mathop{\rm M_{\odot}}\nolimits}
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\def\Lsun{\mathop{\rm M_{\odot}}\nolimits}
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\def\keV{\mathop{\rm keV}\nolimits}
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\def\Mpc{\mathop{\rm Mpc}\nolimits}
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\def\kpc{\mathop{\rm kpc}\nolimits}
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\def\erg{\mathop{\rm erg}\nolimits}
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\def\s{\mathop{\rm s}\nolimits}
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\def\K{\mathop{\rm K}\nolimits}
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%\def\Ga{\mathop{\rm Ga}\nolimits}
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\def\Ga{\mathop{\times 10^9 \yrs}\nolimits}
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\def\yrs{\mathop{\rm yrs}\nolimits}
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\def\cm{\mathop{\rm cm}\nolimits}
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\def\munit{\mathop{\rm munit}\nolimits}
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\def\kunit{\mathop{\rm kunit}\nolimits}
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\def\k{\mathop{\rm k}\nolimits}
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\def\km{\mathop{\rm km}\nolimits}
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\def\G{\mathop{\rm G}\nolimits}
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\def\g{\mathop{\rm g}\nolimits}
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\def\kps{\mathop{\rm km/s}\nolimits}
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\def\msol{\hbox{$\rm\thinspace M_{\odot}$}}
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\def\etal{{\it et al.\thinspace}}
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\def\eg{{\it e.g.\ }}
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\def\etc{{\it etc.\ }}
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\def\ie{{\it i.e.\ }}
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\def\cf{{\it c.f.\ }}
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\def\fig{figure}
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\def\Fig{Fig.\thinspace}
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\def\figs{figures}
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\def\Figs{Figs.\thinspace}
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\def\p3m{P${}^3$M}
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\def\ap3m{AP${}^3$M}
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\def\-{{\em{---}}}
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\def\Hydra{{\small HYDRA} }
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\newcommand{\expd}[1]{
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\times 10^{#1}
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}
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\newcommand{\mean}[1]{
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\langle #1 \rangle
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}
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\def\bmath{\boldmath}
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\def\shortcite{\cite}
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\def\nabr{{\nabla_{\bf r}}}
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\def\nabx{{\nabla_{\bf x}}}
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\def\nabi{{\nabla_i}}
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\def\vx{{{\bf v_x}}}
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\def\vr{{{\bf v_r}}}
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\def\Wr{{W({\bf r}_{ij},h_i)}}
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\def\Wx{{W({\bf x}_{ij},h_i^c)}}
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\def\dxij{{\,\Delta {\bf x}_{ij}}}
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\def\dvxij{{\,\Delta {\bf v_x}_{ij}}}
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\def\drij{{\,\Delta {\bf r}_{ij}}}
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\def\dvij{{\,\Delta {\bf v}_{ij}}}
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\def\br{{{\bf r}}}
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\def\bv{{{\bf v}}}
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\def\bx{{{\bf x}}}
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\def\bvx{{{\bf v_x}}}
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\def\tot{{{2 \over 3}}}
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\def\prho{{{P_i \over \rho_i^2}}}
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\def\prhoc{{{P_i^c \over \rho_i^{c^2}}}}
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\def\do{{\tt DO }}
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\def\accel{{\bf accel }}
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\def\force{{\bf force }}
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\def\shgravsph{{\bf shgravsph }}
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\def\updaterv{{\bf updaterv }}
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\def\refforce{{\bf refforce }}
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\def\rfinit{{\bf rfinit }}
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\def\uload{{\bf uload }}
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\def\load{{\bf load}}
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\newcommand{\bmh}[1]{\boldmath{#1}}
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\newcommand\Hmol{{\rm\,H_2}}
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\newcommand\Hatom{{\rm\,HI}}
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\newcommand\SSSMC{{\rm\,S^{3}MC}}
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\newcommand\XCO{{X_{\rm\,CO}}}
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