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Essay:Demystified gravitation
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Revision as of 22:06, September 12, 2011
3 bytes added
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22:06, September 12, 2011
m
→Step 3. Calculating sum of all forcess acting on the shell
Line 137:
Line 137:
:Substituting number from step 2 for the mass of galaxy resulting in
:Substituting number from step 2 for the mass of galaxy resulting in
−
:<math>F_{shell}(r)=(4\pi G\rho/c^2)[E_o-E_d(r)]dr</math>.
+
:
:<math>F_{shell}(r)=(4\pi G\rho/c^2)[E_o-E_d(r)]dr</math>.
:and
:and
−
:<math>F_{shell}(r)=-dE_{shell}(r)/dr</math>.
+
:
:<math>F_{shell}(r)=-dE_{shell}(r)/dr</math>.
:and so
:and so
−
:<math>-dE_{shell}(r)/dr=(4\pi G\rho/c^2)[E_o-E_d(r)]dr</math>.
+
:
:<math>-dE_{shell}(r)/dr=(4\pi G\rho/c^2)[E_o-E_d(r)]dr</math>.
==== Step 4. Integrating both sides of above equation ====
==== Step 4. Integrating both sides of above equation ====
JimJast
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