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**Urgent!! I really need help please!**

Sorry for posting this question again. Lemme try to rephrase my question if it helps . Please help me get started on this question. I am really stuck and time is running out!! I don't want the answer, I just need some pointers to get me going and headed in the right direction.

**A particle moves in an inverse cubic, central, conservative force field. The force is**

**F = -Amr^-3**,

where A = some constant,

m = mass of particle (pt. mass)

r = distance

I know that the angular momentum L (its 3 components) are conserved under a central force. The total energy is also conserved since the force is conservative.

L = m r^2 θ'

E = (1/2) m (r')^2 + (1/2) m r^2 θ'^2 + V(R)

The 2 equations above are written in polar coordinate form.

Is V(R) = - / F? (/ = integral...sorry)

**How should I go about in describing the possible orbits of a particle moving under the influence of such a force? I have to consider the following cases: E = 0, E < 0, and E > 0, for non-zero angular momentum cases.**

I need some desperate guidelines to get me started. Please give some advices.

**Thanks in advance!**