Plane circular restricted three-body problem using modified Newtonian dynamics

BI Yanfang; WANG Tao

doi:10.3969/j.issn.1000-5641.201922016

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BI Yanfang, WANG Tao. Plane circular restricted three-body problem using modified Newtonian dynamics[J]. Journal of East China Normal University (Natural Sciences), 2021, (1): 53-59. doi: 10.3969/j.issn.1000-5641.201922016

Citation:

BI Yanfang, WANG Tao. Plane circular restricted three-body problem using modified Newtonian dynamics[J]. Journal of East China Normal University (Natural Sciences), 2021, (1): 53-59. doi: 10.3969/j.issn.1000-5641.201922016

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Plane circular restricted three-body problem using modified Newtonian dynamics

doi: 10.3969/j.issn.1000-5641.201922016

BI Yanfang,
WANG Tao^,

School of Physics and Electronic Science, East China Normal University, Shanghai　200241, China

Received Date: 2019-10-08
Publish Date: 2021-01-27

Abstract

Abstract

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.
- modified Newtonian dynamics,
- Lagrangian point,
- Hill curve

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References(7)

References

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