ACCURATE ORBITAL INTEGRATION OF THE GENERAL THREE-BODY PROBLEM BASED ON THE D'ALEMBERT-TYPE SCHEME
Journal Article
·
· Astronomical Journal (New York, N.Y. Online)
- Tokushima Bunri University, Nishihama, Yamashiro-cho, Tokushima 770-8514 (Japan)
We propose an accurate orbital integration scheme for the general three-body problem that retains all conserved quantities except angular momentum. The scheme is provided by an extension of the d'Alembert-type scheme for constrained autonomous Hamiltonian systems. Although the proposed scheme is merely second-order accurate, it can precisely reproduce some periodic, quasiperiodic, and escape orbits. The Levi-Civita transformation plays a role in designing the scheme.
- OSTI ID:
- 22130903
- Journal Information:
- Astronomical Journal (New York, N.Y. Online), Vol. 145, Issue 3; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1538-3881
- Country of Publication:
- United States
- Language:
- English
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