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

Zhao, H.; Li, B.; Bienaymé, O.

Abstract

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.

Citation

Zhao, H., Li, B., & Bienaymé, O. (2010). Modified Kepler's law, escape speed and two-body problem in MOND-like theories. Physical Review D, 82(10), Article 103001. https://doi.org/10.1103/physrevd.82.103001

• Journal Article Type: Article
• Publication Date: Nov 1, 2010
• Deposit Date: Jan 20, 2012
• Publicly Available Date: Jul 16, 2014
• Journal: Physical Review D - Particles, Fields, Gravitation, and Cosmology
• Print ISSN: 1550-7998
• Electronic ISSN: 1550-2368
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 82
• Issue: 10
• Article Number: 103001
• DOI: https://doi.org/10.1103/physrevd.82.103001
• Public URL: https://durham-repository.worktribe.com/output/1530831