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

Zhao, H. and Li, B. and Bienaymé, O. (2010) 'Modified Kepler's law, escape speed and two-body problem in MOND-like theories.', Physical review D., 82 (10). p. 103001.


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.

Item Type:Article
Full text:(NA) Not Applicable
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Publisher statement:© 2010 American Physical Society
Date accepted:No date available
Date deposited:No date available
Date of first online publication:2010
Date first made open access:No date available

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