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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!
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!