Dynamics characteristics of circular restricted three-body problem

LIU Wenfang; HU Shiyang; LIU Fuyao

Volume 35 Issue 3

Sep. 2021

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LIU Wenfang, HU Shiyang, LIU Fuyao. Dynamics characteristics of circular restricted three-body problem[J]. Journal of Shanghai University of Engineering Science, 2021, 35(3): 272-280.

Citation:

LIU Wenfang, HU Shiyang, LIU Fuyao. Dynamics characteristics of circular restricted three-body problem[J]. Journal of Shanghai University of Engineering Science, 2021, 35(3): 272-280.

LIU Wenfang, HU Shiyang, LIU Fuyao. Dynamics characteristics of circular restricted three-body problem[J]. Journal of Shanghai University of Engineering Science, 2021, 35(3): 272-280.

Citation:

LIU Wenfang, HU Shiyang, LIU Fuyao. Dynamics characteristics of circular restricted three-body problem[J]. Journal of Shanghai University of Engineering Science, 2021, 35(3): 272-280.

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Dynamics characteristics of circular restricted three-body problem

LIU Wenfang^1
,,
HU Shiyang^{1, 2},
LIU Fuyao^{1
,
,}

1.
School of Mathematics, Physics and Statistics, Shanghai University of Engineering Science, Shanghai 201620, China
2.
School of Physical Science and Technology, Guangxi University, Nanning 530004, China

Received Date: 2021-08-18
Publish Date: 2021-09-30

Abstract

Abstract

The forbidden zone has a significantly important influence on the motion of the third body in the circular restricted three-body problem. Based on zero-velocity curves, the relationship between the forbidden zone of celestial bodies and dynamical parameters was discussed. It was obtained that the forbidden zones are related to the Jacobian constant, and can affect motion areas of celestial bodies and dynamical types of orbits. The maximum Lyapunov exponents were used to find chaotic orbits, and the distributions of chaotic orbits with respect to the initial positions of the celestial bodies for different dynamical parameters were given. These distributions indicate that when the third celestial body is released from the midpoint of the two main celestial bodies, chaos easily occurs. However, there is no chaos when the mass parameter is small sufficiently.
- restricted three-body problem,
- Hamiltonian system,
- numerical simulation,
- orbit,
- chaos

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References(21)

References

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