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The path a body takes while moving through space under the influence of the gravitational forces of other bodies

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Does the trajectory of a body in a central-force field leave the force undetermined if I don...

Suppose I have a body orbiting in a (unstable, as shown by the effective potential of the system) circular orbit around another one in accordance to a inverse law of the form $$-kmm_1\frac{1}{r^4}$$ C …
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