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  1. Celestial Mechanics and Dynamical Astronomy
  2. Celestial Mechanics and Dynamical Astronomy : Volume 75
  3. Celestial Mechanics and Dynamical Astronomy : Volume 75, Issue 1, September 1999
  4. Keplerian periodic orbits in the isosceles problem
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Celestial Mechanics and Dynamical Astronomy : Volume 128
Celestial Mechanics and Dynamical Astronomy : Volume 127
Celestial Mechanics and Dynamical Astronomy : Volume 126
Celestial Mechanics and Dynamical Astronomy : Volume 125
Celestial Mechanics and Dynamical Astronomy : Volume 124
Celestial Mechanics and Dynamical Astronomy : Volume 123
Celestial Mechanics and Dynamical Astronomy : Volume 122
Celestial Mechanics and Dynamical Astronomy : Volume 121
Celestial Mechanics and Dynamical Astronomy : Volume 120
Celestial Mechanics and Dynamical Astronomy : Volume 119
Celestial Mechanics and Dynamical Astronomy : Volume 118
Celestial Mechanics and Dynamical Astronomy : Volume 117
Celestial Mechanics and Dynamical Astronomy : Volume 116
Celestial Mechanics and Dynamical Astronomy : Volume 115
Celestial Mechanics and Dynamical Astronomy : Volume 114
Celestial Mechanics and Dynamical Astronomy : Volume 113
Celestial Mechanics and Dynamical Astronomy : Volume 112
Celestial Mechanics and Dynamical Astronomy : Volume 111
Celestial Mechanics and Dynamical Astronomy : Volume 110
Celestial Mechanics and Dynamical Astronomy : Volume 109
Celestial Mechanics and Dynamical Astronomy : Volume 108
Celestial Mechanics and Dynamical Astronomy : Volume 107
Celestial Mechanics and Dynamical Astronomy : Volume 106
Celestial Mechanics and Dynamical Astronomy : Volume 105
Celestial Mechanics and Dynamical Astronomy : Volume 104
Celestial Mechanics and Dynamical Astronomy : Volume 103
Celestial Mechanics and Dynamical Astronomy : Volume 102
Celestial Mechanics and Dynamical Astronomy : Volume 101
Celestial Mechanics and Dynamical Astronomy : Volume 100
Celestial Mechanics and Dynamical Astronomy : Volume 99
Celestial Mechanics and Dynamical Astronomy : Volume 98
Celestial Mechanics and Dynamical Astronomy : Volume 97
Celestial Mechanics and Dynamical Astronomy : Volume 96
Celestial Mechanics and Dynamical Astronomy : Volume 95
Celestial Mechanics and Dynamical Astronomy : Volume 94
Celestial Mechanics and Dynamical Astronomy : Volume 93
Celestial Mechanics and Dynamical Astronomy : Volume 92
Celestial Mechanics and Dynamical Astronomy : Volume 91
Celestial Mechanics and Dynamical Astronomy : Volume 90
Celestial Mechanics and Dynamical Astronomy : Volume 89
Celestial Mechanics and Dynamical Astronomy : Volume 88
Celestial Mechanics and Dynamical Astronomy : Volume 87
Celestial Mechanics and Dynamical Astronomy : Volume 86
Celestial Mechanics and Dynamical Astronomy : Volume 85
Celestial Mechanics and Dynamical Astronomy : Volume 84
Celestial Mechanics and Dynamical Astronomy : Volume 83
Celestial Mechanics and Dynamical Astronomy : Volume 82
Celestial Mechanics and Dynamical Astronomy : Volume 81
Celestial Mechanics and Dynamical Astronomy : Volume 80
Celestial Mechanics and Dynamical Astronomy : Volume 79
Celestial Mechanics and Dynamical Astronomy : Volume 78
Celestial Mechanics and Dynamical Astronomy : Volume 77
Celestial Mechanics and Dynamical Astronomy : Volume 76
Celestial Mechanics and Dynamical Astronomy : Volume 75
Celestial Mechanics and Dynamical Astronomy : Volume 75, Issue 4, December 1999
Celestial Mechanics and Dynamical Astronomy : Volume 75, Issue 3, November 1999
Celestial Mechanics and Dynamical Astronomy : Volume 75, Issue 2, October 1999
Celestial Mechanics and Dynamical Astronomy : Volume 75, Issue 1, September 1999
Two‐Body Problems with Drag or Thrust: Qualitative Results
Keplerian periodic orbits in the isosceles problem
Behaviour of a new type of Runge–Kutta methods when integrating satellite orbits
Tidal effects in the earth–moon system and the earth's rotation
On linking coefficient of two Keplerian orbits
Celestial Mechanics and Dynamical Astronomy : Volume 74
Celestial Mechanics and Dynamical Astronomy : Volume 73
Celestial Mechanics and Dynamical Astronomy : Volume 72
Celestial Mechanics and Dynamical Astronomy : Volume 71
Celestial Mechanics and Dynamical Astronomy : Volume 70
Celestial Mechanics and Dynamical Astronomy : Volume 69
Celestial Mechanics and Dynamical Astronomy : Volume 68
Celestial Mechanics and Dynamical Astronomy : Volume 67

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Keplerian periodic orbits in the isosceles problem

Content Provider Springer Nature Link
Author Alfaro, Martínez Chiralt Monleón, C.
Copyright Year 1999
Abstract The planar isosceles three-body problem where the two symmetric bodies have small masses is considered as a perturbation of the Kepler problem. We prove that the circular orbits can be continued to saddle orbits of the Isosceles problem. This continuation is not possible in the elliptic case. Their perturbed orbits tend to a continued circular one or approach a triple collision. The basic tool used is the study of the Poincaré maps associated with the periodic solutions.
Starting Page 17
Ending Page 27
Page Count 11
File Format PDF
ISSN 09232958
Journal Celestial Mechanics and Dynamical Astronomy
Volume Number 75
Issue Number 1
e-ISSN 15729478
Language English
Publisher Kluwer Academic Publishers
Publisher Date 1999-01-01
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Astronomy
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Astronomy and Astrophysics Modeling and Simulation Computational Mathematics Space and Planetary Science
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