Modified Kepler's law, escape speed, and two-body problem in modified Newtonian dynamics-like theories

Hongsheng Zhao, Baojiu Li, Olivier Bienaymé

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12 Citations (Scopus)

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.
Original languageEnglish
Article number103001
JournalPhysical review. D, Particles, fields, gravitation, and cosmology
Volume82
Issue number10
DOIs
Publication statusPublished - 2 Nov 2010

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