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.
