The construction of periodic orbits close to triangular libration points for the three-body problem in a resistive medium (Q2761347)
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scientific article; zbMATH DE number 1683392
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The construction of periodic orbits close to triangular libration points for the three-body problem in a resistive medium |
scientific article; zbMATH DE number 1683392 |
Statements
18 December 2001
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Lyapunov families of periodic orbits
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three-body problem
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small resistance
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triangular libration points
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Poincaré technique
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small parameter
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asymptotically stable periodic orbit
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Earth-Jupiter system
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Earth-Moon system
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The construction of periodic orbits close to triangular libration points for the three-body problem in a resistive medium (English)
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The authors study the three-body problem in a medium with small resistance. The conditions for loss of stability of triangular libration points are established by Poincaré technique, using as a small parameter the ratio of resistive force to the gravitation attraction force. The domains of stability of triangular libration points are shown graphically, and two Lyapunov families of periodic orbits are constructed.
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