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

Zhao, H.; Li, B.; Bienaymé, O.


H. Zhao

O. Bienaymé


We derive a simple analytical expression for the two-body force in a subclass of modified Newtonian dynamics (MOND) theories and make testable predictions in the modification to the two-body orbital period, shape, precession rate, 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 the 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.

Journal Article Type Article
Publication Date Nov 1, 2010
Deposit Date Jan 20, 2012
Publicly Available Date Jul 16, 2014
Journal Physical Review D
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 82
Issue 10
Article Number 103001
Public URL


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