- #1
bootsam
- 10
- 0
i am a little stuck on this, can someone please put me straight
This is from P7 of The Physics of Stars by AC Phillips
[tex]
g(r)=G m(r)/r^2
[/tex]
which states that each mass element at r moves towards the centre with an acceleration g(r). He then goes on to state that the inward velocity of the element can "be found from the conservation of energy equation."
[tex]
1/2 [ \frac {dr} {dt} ] ^2 = G m_o /r - G m_o /r_o
[/tex]
Now i know that both sides have been integrated but i thought the integral of
[tex]
\frac {d^2r} {dt^2} = \frac {dr} {dt}
[/tex]
forgive my tex errors :) the damn things buggy :0
This is from P7 of The Physics of Stars by AC Phillips
[tex]
g(r)=G m(r)/r^2
[/tex]
which states that each mass element at r moves towards the centre with an acceleration g(r). He then goes on to state that the inward velocity of the element can "be found from the conservation of energy equation."
[tex]
1/2 [ \frac {dr} {dt} ] ^2 = G m_o /r - G m_o /r_o
[/tex]
Now i know that both sides have been integrated but i thought the integral of
[tex]
\frac {d^2r} {dt^2} = \frac {dr} {dt}
[/tex]
forgive my tex errors :) the damn things buggy :0
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