On the elliptic restricted three-body problem

Jaume Llibre; Conxita Piñol

doi:https://doi.org/10.1007/BF00049388

On the elliptic restricted three-body problem

Jaume Llibre, Conxita Piñol

Department of Mathematics

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

20 Citations (Scopus)

Abstract

The main goal of this paper is to show that the elliptic restricted three-body problem has ejection-collision orbits when the mass parameter μ is small enough. We make use of the 'blow up' techniques. Moreover, we describe the global flow of the elliptic problem when μ = 0 taking into account the singularities due to collision and to infinity. © 1990 Kluwer Academic Publishers.

Original language	English
Pages (from-to)	319-345
Journal	Celestial Mechanics and Dynamical Astronomy
Volume	48
DOIs	https://doi.org/10.1007/BF00049388
Publication status	Published - 1 Dec 1990

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title = "On the elliptic restricted three-body problem",

abstract = "The main goal of this paper is to show that the elliptic restricted three-body problem has ejection-collision orbits when the mass parameter μ is small enough. We make use of the 'blow up' techniques. Moreover, we describe the global flow of the elliptic problem when μ = 0 taking into account the singularities due to collision and to infinity. {\textcopyright} 1990 Kluwer Academic Publishers.",

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AB - The main goal of this paper is to show that the elliptic restricted three-body problem has ejection-collision orbits when the mass parameter μ is small enough. We make use of the 'blow up' techniques. Moreover, we describe the global flow of the elliptic problem when μ = 0 taking into account the singularities due to collision and to infinity. © 1990 Kluwer Academic Publishers.

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DO - https://doi.org/10.1007/BF00049388

M3 - Article

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SP - 319

EP - 345

JO - Celestial Mechanics and Dynamical Astronomy

JF - Celestial Mechanics and Dynamical Astronomy

SN - 0923-2958

ER -

On the elliptic restricted three-body problem

Abstract

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