J2 effect and elliptic inclined periodic orbits in the collision restricted three-body problem

被引：2

作者：

Barrabes, E. ^{[1
]}

Cors, J. M. ^{[2
]}

Pinyol, C. ^{[3
]}

Soler, J. ^{[1
]}

机构：

[1] Univ Girona, Dept Informat & Matemat Aplicada, Girona 17003, Spain

[2] Univ Politecn Cataluna, Dept Matemat Aplicada 3, Barcelona 08242, Spain

[3] Univ Autonoma Barcelona, Dept Econ & Hist Econ, E-08193 Barcelona, Spain

来源：

SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS | 2008年 / 7卷 / 01期

关键词：

collision restricted three-body problem; periodic orbits; symmetric orbits; critical inclination; continuation method;

D O I：

10.1137/070683854

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The existence of a new class of inclined periodic orbits of the collision restricted three-body problem is shown. The symmetric periodic solutions found are perturbations of elliptic Kepler orbits, and they exist only for special values of the inclination and are related to the motion of a satellite around an oblate planet.

引用

页码：1 / 17

页数：17

共 50 条

[31] Asymptotic and periodic orbits around L3 in the photogravitational restricted three-body problem
Kalantonis, VS
Perdios, EA
Ragos, O
ASTROPHYSICS AND SPACE SCIENCE, 2006, 301 (1-4) : 157 - 165
[32] A Systematic Study of the Stability of Symmetric Periodic Orbits in the Planar, Circular, Restricted Three-Body Problem
Alessandra Celletti
Andrea Chessa
John Hadjidemetriou
Giovanni Battista Valsecchi
Celestial Mechanics and Dynamical Astronomy, 2002, 83 : 239 - 255
[33] Variational existence proof for multiple periodic orbits in the planar circular restricted three-body problem
Kajihara, Yuika
Shibayama, Mitsuru
NONLINEARITY, 2022, 35 (03) : 1431 - 1446
[34] Shadowing unstable orbits of the Sitnikov elliptic three-body problem
Urminsky, D. J.
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2010, 407 (02) : 804 - 811
[35] Symmetric comet-type periodic orbits in the elliptic three-dimensional restricted (N+1)-body problem
Cors, Josep M.
Garrido, Miguel
PHYSICA D-NONLINEAR PHENOMENA, 2024, 470
[36] Families of halo orbits in the elliptic restricted three-body problem for a solar sail with reflectivity control devices
Huang, Jia
Biggs, James D.
Cui, Naigang
ADVANCES IN SPACE RESEARCH, 2020, 65 (03) : 1070 - 1082
[37] Numerical Investigation for Periodic Orbits in the Hill Three-Body Problem
Kalantonis, Vassilis S.
UNIVERSE, 2020, 6 (06)
[38] Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem
Ortega, Alberto Castro
Falconi, Manuel
Lacomba, Ernesto A.
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2014, 13 (02) : 181 - 196
[39] Transition tori in the planar restricted elliptic three-body problem
Capinski, Maciej J.
Zgliczynski, Piotr
NONLINEARITY, 2011, 24 (05) : 1395 - 1432
[40] Symmetric Periodic Orbits and Schubart Orbits in The Charged Collinear Three-Body Problem
Alberto Castro Ortega
Manuel Falconi
Ernesto A. Lacomba
Qualitative Theory of Dynamical Systems, 2014, 13 : 181 - 196

← 1 2 3 4 5 →