Find two second integrals of motion for a particle of mass (m) in the case (F(r)=-k /

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Find two second integrals of motion for a particle of mass \(m\) in the case \(F(r)=-k / r^{3}\), where \(k\) is a constant. Describe the shape of the trajectories, assuming that the angular momentum \(\ell>\sqrt{\mathrm{km}}\).

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Modern Classical Mechanics

ISBN: 9781108834971

1st Edition

Authors: T. M. Helliwell, V. V. Sahakian

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