Changes between Version 59 and Version 60 of SelfGravityDevel


Ignore:
Timestamp:
02/05/13 13:20:33 (12 years ago)
Author:
Jonathan
Comment:

Reverted to version 44.

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  • SelfGravityDevel

    v59 v60  
    2828#!latex
    2929\begin{equation}\label{eq:uniDensity}\tag{1}
    30 \rho= \begin{cases} \rho_0 & r < R \\
    31                    0 & r \ge R
     30\rho= \begin{cases} \rho_{0}, &r < R \\
     31                   0, & r\ge R
    3232     \end{cases}
    3333\end{equation}
    3434}}}
    3535
    36 {{{
    37 #!latex
    38 \begin{equation}\label{eq:uniDensity2}\tag{11}
    39 \rho= \begin{cases} \rho_0 & r < R \\
    40 0 & r \ge R
    41 \end{cases}
    42 \end{equation}
    43 }}}
    44 
    45 
    46 {{{
    47 #!latex
    48 \begin{equation}\label{eq:uniDensity3}\tag{12}
    49 \rho=\begin{cases} \rho_0 & r < R \\
    50 0 & r \ge R
    51 \end{cases}
    52 \end{equation}
    53 }}}
    54 
    55 {{{
    56 #!latex
    57 \begin{equation}\label{eq:uniDensity4}\tag{13}
    58 \rho=\begin{cases} \rho_0 & r < R \\
    59 0 & r \ge R
    60 \end{cases}
    61 \end{equation}
    62 }}}
    6336
    6437 Use spherical coordinates, the Poisson equation for the density distribution Equation (1) can be written as
     
    8457#!latex
    8558\begin{equation}\label{eq:solUniSphere}\tag{4}
    86 \phi(r)=\begin{cases} -\frac{4 \pi}{3} G\rho \frac{R^{3}}{r} & r>R\\
     59\phi(r)=\begin{cases} -\frac{4\pi}{3} G\rho \frac{R^{3}}{r} & r>R\\
    8760         -\frac{2\pi G\rho}{3}\left[R^{2}-r^{2}\right]-\frac{4\pi}{3}G\rho R^{2} &r\ge R
    8861        \end{cases}