On trajectories with large inclinations in the restricted spatial three-body problem in vicinity of the 1:1 resonance

L. Sokolov, N. Pitjev, B. Eskin

Research output

Abstract

Three families of trajectories in vicinity of the 1:1 mean-motion resonance are discussed: quasi-circular trajectories, ”stable chaos” trajectories, trajectories which exits from the resonance. The dependence corresponding initial conditions on planet’s mass is investigated, as well the complicated eccentricity evolution in the region of ”stable chaos”.
Original languageEnglish
Title of host publicationProceedings “Resonances, stabilization, and stable chaos in hierarchical triple systems, Sept. 8-13, 2008”, 2009, p.8-15
PublisherKisarazu
Pages100 стр., 8-15
ISBN (Print)978-4-485-30105-0
Publication statusPublished - 2009
Externally publishedYes

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three body problem
inclination
trajectories
chaos
eccentricity
planets

Cite this

Sokolov, L., Pitjev, N., & Eskin, B. (2009). On trajectories with large inclinations in the restricted spatial three-body problem in vicinity of the 1:1 resonance. In Proceedings “Resonances, stabilization, and stable chaos in hierarchical triple systems, Sept. 8-13, 2008”, 2009, p.8-15 (pp. 100 стр., 8-15). Kisarazu.
Sokolov, L. ; Pitjev, N. ; Eskin, B. / On trajectories with large inclinations in the restricted spatial three-body problem in vicinity of the 1:1 resonance. Proceedings “Resonances, stabilization, and stable chaos in hierarchical triple systems, Sept. 8-13, 2008”, 2009, p.8-15. Kisarazu, 2009. pp. 100 стр., 8-15
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Sokolov, L, Pitjev, N & Eskin, B 2009, On trajectories with large inclinations in the restricted spatial three-body problem in vicinity of the 1:1 resonance. in Proceedings “Resonances, stabilization, and stable chaos in hierarchical triple systems, Sept. 8-13, 2008”, 2009, p.8-15. Kisarazu, pp. 100 стр., 8-15.

On trajectories with large inclinations in the restricted spatial three-body problem in vicinity of the 1:1 resonance. / Sokolov, L.; Pitjev, N.; Eskin, B.

Proceedings “Resonances, stabilization, and stable chaos in hierarchical triple systems, Sept. 8-13, 2008”, 2009, p.8-15. Kisarazu, 2009. p. 100 стр., 8-15.

Research output

TY - CHAP

T1 - On trajectories with large inclinations in the restricted spatial three-body problem in vicinity of the 1:1 resonance

AU - Sokolov, L.

AU - Pitjev, N.

AU - Eskin, B.

PY - 2009

Y1 - 2009

N2 - Three families of trajectories in vicinity of the 1:1 mean-motion resonance are discussed: quasi-circular trajectories, ”stable chaos” trajectories, trajectories which exits from the resonance. The dependence corresponding initial conditions on planet’s mass is investigated, as well the complicated eccentricity evolution in the region of ”stable chaos”.

AB - Three families of trajectories in vicinity of the 1:1 mean-motion resonance are discussed: quasi-circular trajectories, ”stable chaos” trajectories, trajectories which exits from the resonance. The dependence corresponding initial conditions on planet’s mass is investigated, as well the complicated eccentricity evolution in the region of ”stable chaos”.

KW - restricted three-body problem

KW - resonant orbits

KW - chaos

M3 - Article in an anthology

SN - 978-4-485-30105-0

SP - 100 стр., 8-15

BT - Proceedings “Resonances, stabilization, and stable chaos in hierarchical triple systems, Sept. 8-13, 2008”, 2009, p.8-15

PB - Kisarazu

ER -

Sokolov L, Pitjev N, Eskin B. On trajectories with large inclinations in the restricted spatial three-body problem in vicinity of the 1:1 resonance. In Proceedings “Resonances, stabilization, and stable chaos in hierarchical triple systems, Sept. 8-13, 2008”, 2009, p.8-15. Kisarazu. 2009. p. 100 стр., 8-15