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

Zhao, H.; Li, B.; Bienaymé, O.

doi:10.1103/physrevd.82.103001

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

Zhao, H.; Li, B.; Bienaymé, O.

Authors

H. Zhao

Professor Baojiu Li baojiu.li@durham.ac.uk
Professor

O. Bienaymé

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
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