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Old Jan 18th 2017, 12:40 PM   #1
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Binetīs equation

Hi everyone, i am preparing my final exam of mathematical physics and i have some questions I couldnt solve them:

1) How can I use Binetīs equation to study the different trajectories of a particle of mass m under the central force $\displaystyle F(r)=-\frac{k}{r^4} \frac{\partial}{\partial r}$ The potential is $\displaystyle V(r)=-k/r^3$ with k>0

2) If a particle of mass m is under the central potential $\displaystyle V(r)=kr, k>0$ what are the possible newtonians trajectories with angular momentum 0 depending on the initial conditions: initial position and initial velocity?

Thank you all.
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