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  1. Celestial Mechanics and Dynamical Astronomy
  2. Celestial Mechanics and Dynamical Astronomy : Volume 90
  3. Celestial Mechanics and Dynamical Astronomy : Volume 90, Issue 1-2, September 2004
  4. On The Concept Of Periapsis In Hill’s 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 90, Issue 3-4, November 2004
Celestial Mechanics and Dynamical Astronomy : Volume 90, Issue 1-2, September 2004
Preface
Control Of Chaos In Hamiltonian Systems
The global flow of the parabolic restricted three-body problem
Global Regularization of the Restricted Problem of Three Bodies
Resonances in Multiple Planetary Systems
Capture in the Circular and Elliptic Restricted Three-Body Problem
Orbit determination with very short arcs. I admissible regions
Motion close to the Hopf Bifurcation Of the vertical family of periodic orbits of L4
On Integrable Hamiltonians with Velocity Dependent Potentials
The Relative Lyapunov Indicator: An Efficient Method of Chaos Detection
On the Stability of High Inclined L4 and L5Trojans
The validity of the continuum limit in the gravitational N-body problem
On The Concept Of Periapsis In Hill’s Problem
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 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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On The Concept Of Periapsis In Hill’s Problem

Content Provider Springer Nature Link
Author Villac, B.F. Scheeres, D.J.
Copyright Year 2004
Abstract The concept of closest approach is analyzed in Hill’s problem, resulting in a partitioning of the position space. The different behavior between the direct and retrograde motion is explained analytically, resulting in a simple estimate of the variation of Hill’s periodic and quasi-circular orbits as a function of the Jacobi constant. The local behavior of the orbits on the zero velocity surfaces and an analytical definition of local escape and capture in Hill’s problem are also given.
Starting Page 165
Ending Page 178
Page Count 14
File Format PDF
ISSN 09232958
Journal Celestial Mechanics and Dynamical Astronomy
Volume Number 90
Issue Number 1-2
e-ISSN 15729478
Language English
Publisher Kluwer Academic Publishers
Publisher Date 2004-01-01
Publisher Place Dordrecht
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Capture escape Hill’s problem periapsis periodic orbits 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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