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

Pan Tan; Xi-Yun Hou; Xin-Hao Liao

doi:10.1007/s10569-021-10028-6

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 ◽

Three Body

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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 ◽

Cited By ~ 18

Author(s):

Hanlun Lei ◽

Bo Xu

Keyword(s):

Body Problem ◽

High Order ◽

Libration Points ◽

Low Energy ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Energy Transfers ◽

Low Energy Transfers ◽

Three Body

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Reply to: “Comment on the paper ‘On the triangular libration points in photogravitational restricted three-body problem with variable mass’’’ by Varvoglis, H. and Hadjidemetriou, J.D.

Astrophysics and Space Science ◽

10.1007/s10509-012-1084-8 ◽

2012 ◽

Vol 340 (2) ◽

pp. 209-210 ◽

Cited By ~ 8

Author(s):

Ming-Jiang Zhang

Keyword(s):

Body Problem ◽

Variable Mass ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Three Body

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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 ◽

Cited By ~ 30

Author(s):

Hanlun Lei ◽

Bo Xu

Keyword(s):

Analytical Solutions ◽

Body Problem ◽

High Order ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Three Body

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On Linear Stability of Triangular Libration Points of the Photogravitational Restricted Three-Body Problem Wien the More Massive Primary is an Oblate Spheroid

Sun and Planetary System - Astrophysics and Space Science Library ◽

10.1007/978-94-009-7846-1_114 ◽

1982 ◽

pp. 435-436 ◽

Cited By ~ 8

Author(s):

Ram Krishan Sharma

Keyword(s):

Linear Stability ◽

Body Problem ◽

Oblate Spheroid ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Three Body

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Comment on the paper “On the triangular libration points in photogravitational restricted three-body problem with variable mass” by Zhang, M.J., et al.

Astrophysics and Space Science ◽

10.1007/s10509-012-1060-3 ◽

2012 ◽

Vol 339 (2) ◽

pp. 207-210 ◽

Cited By ~ 6

Author(s):

Harry Varvoglis ◽

John D. Hadjidemetriou

Keyword(s):

Body Problem ◽

Variable Mass ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Three Body

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On the triangular libration points in photogravitational restricted three-body problem with variable mass

Astrophysics and Space Science ◽

10.1007/s10509-011-0821-8 ◽

2011 ◽

Vol 337 (1) ◽

pp. 107-113 ◽

Cited By ~ 24

Author(s):

Ming-Jiang Zhang ◽

Chang-Yin Zhao ◽

Yong-Qing Xiong

Keyword(s):

Body Problem ◽

Variable Mass ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Three Body

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Conditions for the linear stability of libration points and effects of drag on the linear stability of triangular libration points in the restricted three-body problem

Chinese Astronomy and Astrophysics ◽

10.1016/j.chinastron.2005.01.007 ◽

2005 ◽

Vol 29 (1) ◽

pp. 71-80

Author(s):

Shu Si-hui ◽

Lu Ben-kui ◽

Liu Fu-yao ◽

Chen Wu-shen

Keyword(s):

Linear Stability ◽

Body Problem ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Three Body

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Stabilization in the Instability Region Around the Triangular Libration Points for the Restricted Three-Body Problem

13th Chaotic Modeling and Simulation International Conference - Springer Proceedings in Complexity ◽

10.1007/978-3-030-70795-8_74 ◽

2021 ◽

pp. 1065-1076

Author(s):

Asher Yahalom ◽

Natalia Puzanov

Keyword(s):

Body Problem ◽

Instability Region ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

Three Body

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On the stability of triangular libration points in the elliptic restricted three-body problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(70)90134-6 ◽

1970 ◽

Vol 34 (2) ◽

pp. 215-221

Author(s):

A.P. Markeev

Keyword(s):

Body Problem ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

The Stability ◽

Three Body

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The stability of the triangular libration points for the plane circular restricted three-body problem with light pressure

Astrophysics and Space Science ◽

10.1007/s10509-013-1755-0 ◽

2014 ◽

Vol 351 (1) ◽

pp. 101-112 ◽

Cited By ~ 2

Author(s):

M. Alvarez-Ramírez ◽

J. K. Formiga ◽

R. V. de Moraes ◽

J. E. F. Skea ◽

T. J. Stuchi

Keyword(s):

Body Problem ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Light Pressure ◽

Triangular Libration Points ◽

The Stability ◽

Three Body

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