Periodic orbits of the planar collision restricted 3-body problem

Jaume Llibre; Daniel Paşca

doi:https://doi.org/10.1007/s10569-006-9013-1

Periodic orbits of the planar collision restricted 3-body problem

Jaume Llibre, Daniel Paşca

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

7 Citations (Scopus)

Abstract

Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3-body problem. Additionally, we also continue to this restricted problem the so called "comet orbits". © Springer Science+Business Media B.V. 2006.

Original language	English
Pages (from-to)	19-29
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	96
DOIs	https://doi.org/10.1007/s10569-006-9013-1
Publication status	Published - 1 Sep 2006

Keywords

Collision restricted 3-body problem
Continuation method
Periodic orbits

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title = "Periodic orbits of the planar collision restricted 3-body problem",

abstract = "Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3-body problem. Additionally, we also continue to this restricted problem the so called {"}comet orbits{"}. {\textcopyright} Springer Science+Business Media B.V. 2006.",

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author = "Jaume Llibre and Daniel Pa{\c s}ca",

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doi = "https://doi.org/10.1007/s10569-006-9013-1",

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T1 - Periodic orbits of the planar collision restricted 3-body problem

AU - Llibre, Jaume

AU - Paşca, Daniel

PY - 2006/9/1

Y1 - 2006/9/1

N2 - Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3-body problem. Additionally, we also continue to this restricted problem the so called "comet orbits". © Springer Science+Business Media B.V. 2006.

AB - Using the continuation method we prove that the circular and the elliptic symmetric periodic orbits of the planar rotating Kepler problem can be continued into periodic orbits of the planar collision restricted 3-body problem. Additionally, we also continue to this restricted problem the so called "comet orbits". © Springer Science+Business Media B.V. 2006.

KW - Collision restricted 3-body problem

KW - Continuation method

KW - Periodic orbits

U2 - https://doi.org/10.1007/s10569-006-9013-1

DO - https://doi.org/10.1007/s10569-006-9013-1

M3 - Article

VL - 96

SP - 19

EP - 29

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

ER -

Periodic orbits of the planar collision restricted 3-body problem

Abstract

Keywords

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