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 ◽

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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 ◽

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 ◽

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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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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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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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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 ◽

Author(s):

Ming-Jiang Zhang

Keyword(s):

Body Problem ◽

Variable Mass ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Triangular Libration Points ◽

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Sufficient and necessary conditions for the stability of the libration points in the perturbed circular restricted three-body problem and their applications

Chinese Astronomy and Astrophysics ◽

10.1016/j.chinastron.2005.06.007 ◽

2005 ◽

Vol 29 (3) ◽

pp. 293-302 ◽

Author(s):

Si-hui Shu ◽

Ben-kui Lu ◽

Wu-shen Chen ◽

Fu-yao Liu

Keyword(s):

Body Problem ◽

Necessary Conditions ◽

Libration Points ◽

Restricted Three Body Problem ◽

Three Body Problem ◽

Sufficient And Necessary Conditions ◽

The Stability ◽

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The stability of triangular libration points in the photogravitational three-body problem

Journal of Applied Mathematics and Mechanics ◽

10.1016/s0021-8928(00)00105-2 ◽

2000 ◽

Vol 64 (5) ◽

pp. 757-763 ◽

Author(s):

A.L. Kunitsyn

Keyword(s):

Body Problem ◽

Libration Points ◽

Three Body Problem ◽

Triangular Libration Points ◽

The Stability ◽

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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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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 ◽

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 ◽

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