Invariantmanifolds near L1 and L2 in the Sun-Jupiter elliptic restricted three-body problem II: the dynamics of comet Oterma

被引：0

作者：

Duarte, Gladston ^{[1
,2
]}

Jorba, Angel ^{[2
,3
]}

机构：

[1] Univ Torino, Dipartimento Matemat, Via Carlo Alberto 10, I-10123 Turin, Italy

[2] Univ Barcelona, Dept Matemat & Informat, Gran Via Corts Catalanes 585, Barcelona 08007, Spain

[3] Ctr Recerca Matemat, Edif C,Campus Bellaterra, Bellaterra 08193, Spain

来源：

CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY | 2024年 / 136卷 / 06期

关键词：

Planar elliptic restricted three-body problem; Lagrangian points; Rapid transition mechanism; Comet; 39P/Oterma; NORMAL BEHAVIOR; CAPTURE; TORI;

D O I：

10.1007/s10569-024-10218-y

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

Comet 39P/Oterma is known to make fast transitions between heliocentric orbits outside the orbit of Jupiter and heliocentric orbits inside that of Jupiter. In this paper, the dynamics of comet Oterma is modelled and fitted in the Planar Elliptic RTBP. Using the computations presented in Duarte(Celest. Mech. Dyn. Astron 136:26, 2024), we look for the invariant objects around L-1 and L-2, which in the case of the Planar Elliptic RTBP is invariant tori and their stable and unstable manifolds that are the skeleton that guides Oterma in its rapid transition.

引用

页数：20

共 41 条

[11] Existence of a Center Manifold in a Practical Domain around L1 in the Restricted Three-Body Problem
Capinski, Maciej J.
Roldan, Pablo
SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2012, 11 (01): : 285 - 318
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[13] Frequencies and resonances around L4 in the elliptic restricted three-body problem
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MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2014, 443 (03) : 1988 - 1998
[14] Hamiltonian normal form in the vicinity of libration point L1 in the restricted circular three-body problem
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Doklady Physics, 2011, 56 : 567 - 572
[15] Hamiltonian Normal Form in the Vicinity of Libration Point L1 in the Restricted Circular Three-Body Problem
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DOKLADY PHYSICS, 2011, 56 (11) : 567 - 572
[16] The vicinity of Earth-Moon L1 and L2 in the Hill restricted 4-body problem
Peterson, Luke T.
Rosales, Jose J.
Scheeres, Daniel J.
PHYSICA D-NONLINEAR PHENOMENA, 2023, 455
[17] A parametric study of stability and resonances around L 4 in the elliptic restricted three-body problem
Erdi, Balint
Forgacs-Dajka, Emese
Nagy, Imre
Rajnai, Renata
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2009, 104 (1-2): : 145 - 158
[18] L1-optimality conditions for the circular restricted three-body problem
Chen, Zheng
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2016, 126 (04): : 461 - 481
[19] The dynamics of the 1:2 resonant motion with Neptune in the 3D elliptic restricted three-body problem
Kotoulas, TA
ASTRONOMY & ASTROPHYSICS, 2005, 429 (03) : 1107 - 1115
[20] Sun-Earth L1 and L2 to Moon Transfers Exploiting Natural Dynamics
van der Weg, Willem J.
Vasile, Massimiliano
ASTRODYNAMICS NETWORK ASTRONET-II: THE FINAL CONFERENCE, 2016, 44 : 273 - 292

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