Changes between Version 27 and Version 28 of SelfGravityDevel


Ignore:
Timestamp:
02/04/13 15:17:21 (12 years ago)
Author:
Erica Kaminski
Comment:

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  • SelfGravityDevel

    v27 v28  
    66=== Poisson Equation of Self Gravity ===
    77
    8   The electric field generated by a point charge[[latex($Q$)]]is
     8  The electric field generated by a point charge[[latex(Q)]]is
    99
    1010 [[latex(E=\frac{1}{4\pi\epsilon_{0}}\frac{Q}{r^{2}})]]
    1111
    12   On the other hand, the gravitational acceleration by a point mass of [[latex($M$)]] is
     12 On the other hand, the gravitational acceleration by a point mass of [[latex(M)]] is
    1313
    1414 [[latex(g=-G\frac{M}{r^{2}})]]  [[BR]]
    1515
    16 The Poisson equation for electrostatic potential [[latex($\phi_{e}$)]] is
    17 
    18  [[latex($\nabla^{2}\phi=-\frac{\rho}{\epsilon_{0}}$)]]
    19 
    20 Analytically  we can get the Poisson equation for the gravity
    21 
    22  [[latex($\nabla^{2}\phi=4\pi G\rho$)]]
     16 The Poisson equation for electrostatic potential [[latex(\phi_{e})]] is
     17
     18 [[latex(\nabla^{2}\phi=-\frac{\rho}{\epsilon_{0}})]]
     19
     20 Analytically  we can get the Poisson equation for the gravity
     21
     22 [[latex(\nabla^{2}\phi=4\pi G\rho)]]
    2323
    2424where [[latex($\rho$)]] is the mass density. This equation describes how the potential [[latex($\phi$)]] is determined by the mass density distribution.