Published March 2013 | Version v1
Journal article Metadata-only

ACCURATE ORBITAL INTEGRATION OF THE GENERAL THREE-BODY PROBLEM BASED ON THE D'ALEMBERT-TYPE SCHEME

Creators

  • 1. Tokushima Bunri University, Nishihama, Yamashiro-cho, Tokushima 770-8514 (Japan)

Description

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.

Availability note (English)

Available from http://dx.doi.org/10.1088/0004-6256/145/3/63

Additional details

Identifiers

DOI
10.1088/0004-6256/145/3/63;

Publishing Information

Journal Title
Astronomical Journal (New York, N.Y. Online)
Journal Volume
145
Journal Issue
3
Journal Page Range
[14 p.]
ISSN
1538-3881

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
44086027
Subject category
S79: ASTROPHYSICS, COSMOLOGY AND ASTRONOMY;
Descriptors DEI
ANGULAR MOMENTUM; HAMILTONIANS; ORBITS; PERIODICITY; THREE-BODY PROBLEM; TRANSFORMATIONS
Descriptors DEC
MANY-BODY PROBLEM; MATHEMATICAL OPERATORS; QUANTUM OPERATORS; VARIATIONS