arXiv 1007.12782010-07astro-ph.GAgr-qc

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

Hongsheng Zhao, Baojiu Li, Olivier Bienaymé

备注：: 11 pages, 6 figs, PRD submitted
发表信息：: Phys.Rev.D82:103001,2010
DOI：: 10.1103/PhysRevD.82.103001

英文摘要：

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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