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arXiv · 1007.1278

Modified Kepler's Law, Escape Speed and Two-body Problem in MOND-like Theories

Hongsheng Zhao·Baojiu Li·Olivier Bienaymé
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Abstract

We derive a simple analytical expression for the two-body force in a sub-class of MOND-like theories and make testable predictions in the modification to the two-body orbital period, shape, and precession rate, and escape speed etc. We demonstrate the applications of the modified Kepler's law in the timing of satellite orbits around the Milky Way, and checking the feasibility of MOND in the orbit of Large Magellanic Cloud, the M31 galaxy, and the merging Bullet Clusters. MOND appears to be consistent with satellite orbits although with a tight margin. Our results on two-bodies are also generalized to restricted three-body, many-body problems, rings and shells.

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Hongsheng Zhao, Baojiu Li, Olivier Bienaymé. 2010-08-18. Modified Kepler's Law, Escape Speed and Two-body Problem in MOND-like Theories. https://doi.org/10.1103/physrevd.82.103001

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