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arXiv · 1910.05391

Lambert's theorem and projective dynamics

Alain Albouy·Lei Zhao
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Abstract

We prove that the classical Lambert theorem about the elapsed time on an arc of Keplerian orbit extends without change to the Kepler problem on a space of constant curvature. We prove that the Hooke problem has a property similar to Lambert's theorem, which also extends to the spaces of constant curvature.

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Alain Albouy, Lei Zhao. 2019-10-11. Lambert's theorem and projective dynamics. https://doi.org/10.1098/rsta.2018.0417

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