A particle moves in a plane under a force, towards a fixed centre, proportional to the distance. If the path of the particle has two apsidal distances $a,b\ (a>b)$, then find the equation of the path.
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Try to show what you did it. As I understand, the force is $-k\vec{r}$ with $k > 0$. In that case, you have two uncoupled harmonic oscillators. – Felix Marin Sep 23 '16 at 19:08
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I am stuck in the integration part – user315483 Sep 23 '16 at 21:18
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dtheta = du/√(u²-a²)(b²-u²) – user315483 Sep 23 '16 at 21:20
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Check this link about Elliptic Integrals . – Felix Marin Sep 24 '16 at 03:24
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Can't understand anything on that page. – user315483 Sep 24 '16 at 05:36
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Is there any simple way to integrate. – user315483 Sep 24 '16 at 05:37
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Try to elaborate your question a little bit. For example, write the equations you want to solve with the boundary conditions included. In that way it will be helpful for people that want to put an answer. It's difficult to say something else with a statement of a few words. On the other hand, $\texttt{MSE-people}$ like to see what you tried about your problem. – Felix Marin Sep 24 '16 at 05:45