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

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

2010-07-08

arxiv.org/abs/1007.1278v2

Phys.Rev.D82:103001,2010

Astronomy and Astrophysics

Astrophysics

Galaxy Astrophysics

11 pages, 6 figs, PRD submitted

Scientific paper

10.1103/PhysRevD.82.103001

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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