Plane circular restricted three-body problem using modified Newtonian dynamics
Received date: 2019-10-08
Online published: 2021-01-28
毕艳芳 , 王焘 . 修正牛顿动力学中的平面圆形限制性三体问题[J]. 华东师范大学学报(自然科学版), 2021 , 2021(1) : 53 -59 . DOI: 10.3969/j.issn.1000-5641.201922016
Modified Newtonian dynamics is a major competitor of dark matter theory and contains not only a gravitational constant but also an acceleration constant. Based on a circular orbit solution for a two-body problem, this paper is devoted to studying a plane circular restricted three-body problem using modified Newtonian dynamics. We work out the Lagrangian points and the Hill curves akin to those observed in Newtonian dynamics. In contrast, however, the location and number of Lagrangian points, as well as the profile of the Hill region, are dependent on both the acceleration constant and the mass ratio of the main celestial bodies. These findings reveal a new avenue for testing modified Newtonian dynamics.
Key words: modified Newtonian dynamics; Lagrangian point; Hill curve
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