High-order solutions of motion near triangular libration points for arbitrary value of $${\varvec{\mu }}$$ μ

Nonlinear Dynamics ◽

10.1007/s11071-018-4236-8 ◽

2018 ◽

Vol 93 (2) ◽

pp. 909-932 ◽

Author(s):

Yuying Liang ◽

Ming Xu ◽

Shijie Xu

Keyword(s):

Libration Points ◽

Triangular Libration Points

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High-order solutions around triangular libration points in the elliptic restricted three-body problem and applications to low energy transfers

Communications in Nonlinear Science and Numerical Simulation ◽

10.1016/j.cnsns.2014.01.019 ◽

2014 ◽

Vol 19 (9) ◽

pp. 3374-3398 ◽

Author(s):

Hanlun Lei ◽

Bo Xu

Keyword(s):

Body Problem ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Energy Transfers ◽

Low Energy Transfers ◽

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High-order analytical solutions around triangular libration points in the circular restricted three-body problem

Monthly Notices of the Royal Astronomical Society ◽

10.1093/mnras/stt1099 ◽

2013 ◽

Vol 434 (2) ◽

pp. 1376-1386 ◽

Author(s):

Hanlun Lei ◽

Bo Xu

Keyword(s):

Analytical Solutions ◽

Body Problem ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

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Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem

Celestial Mechanics and Dynamical Astronomy ◽

10.1007/s10569-021-10028-6 ◽

2021 ◽

Vol 133 (7) ◽

Author(s):

Pan Tan ◽

Xi-Yun Hou ◽

Xin-Hao Liao

Keyword(s):

Explicit Solution ◽

Body Problem ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

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On the stability of the triangular libration points in the circular bounded three-body problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(69)90117-8 ◽

1969 ◽

Vol 33 (1) ◽

pp. 105-110 ◽

Author(s):

A.P. Markeev

Keyword(s):

Body Problem ◽

Libration Points ◽

Three Body Problem ◽

Triangular Libration Points ◽

The Stability ◽

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Transfer Trajectories Connecting the Regions near the Moon and Triangular Libration Points in the Earth-Moon System with Solar Perturbations

AIAA Scitech 2020 Forum ◽

10.2514/6.2020-1464 ◽

2020 ◽

Author(s):

Lucia R. Capdevila

Keyword(s):

Libration Points ◽

The Moon ◽

Moon System ◽

The Earth ◽

Triangular Libration Points ◽

Solar Perturbations ◽

Transfer Trajectories

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Effects of axis-symmetric body, zonal harmonic and potential from a belt on the stability of triangular libration points in the CR3BP

Astrophysics and Space Science ◽

10.1007/s10509-014-1959-y ◽

2014 ◽

Vol 352 (2) ◽

pp. 461-466 ◽

Author(s):

Jagadish Singh ◽

Joel John Taura

Keyword(s):

Libration Points ◽

Symmetric Body ◽

Zonal Harmonic ◽

Triangular Libration Points ◽

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Analytical and numerical construction of vertical periodic orbits about triangular libration points based on polynomial expansion relations among directions

Astrophysics and Space Science ◽

10.1007/s10509-017-3115-y ◽

2017 ◽

Vol 362 (8) ◽

Author(s):

Ying-Jing Qian ◽

Xiao-Dong Yang ◽

Guan-Qiao Zhai ◽

Wei Zhang

Keyword(s):

Periodic Orbits ◽

Libration Points ◽

Polynomial Expansion ◽

Numerical Construction ◽

Triangular Libration Points

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On the stability of triangular libration points of the photogravitational restricted circular three-body problem

Celestial Mechanics ◽

10.1007/bf01230352 ◽

1978 ◽

Vol 18 (4) ◽

pp. 395-408 ◽

Author(s):

A. L. Kunitsyn ◽

A. A. Perezhogin

Keyword(s):

Body Problem ◽

Libration Points ◽

Three Body Problem ◽

Triangular Libration Points ◽

The Stability ◽

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On the stability of triangular libration points taking into account the light pressure for the circular restricted problem of three bodies

Celestial Mechanics ◽

10.1007/bf01230650 ◽

1985 ◽

Vol 36 (2) ◽

pp. 165-190 ◽

Author(s):

Manju ◽

R. K. Choudhry

Keyword(s):

Restricted Problem ◽

Libration Points ◽

Light Pressure ◽

Circular Restricted Problem ◽

Triangular Libration Points ◽

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On the stability of the triangular libration points for the photogravitational circular restricted problem of three bodies when both of the attracting bodies are radiating as well

Celestial Mechanics ◽

10.1007/bf01230257 ◽

1987 ◽

Vol 40 (2) ◽

pp. 155-170 ◽

Author(s):

Vijay Kumar ◽

R. K. Choudhry

Keyword(s):

Restricted Problem ◽

Libration Points ◽

Circular Restricted Problem ◽

Triangular Libration Points ◽

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