AN ACCURATE ORBITAL INTEGRATOR FOR THE RESTRICTED THREE-BODY PROBLEM AS A SPECIAL CASE OF THE DISCRETE-TIME GENERAL THREE-BODY PROBLEM

Journal Article · Thu Aug 01 00:00:00 EDT 2013 · Astronomical Journal (New York, N.Y. Online)

DOI:https://doi.org/10.1088/0004-6256/146/2/27· OSTI ID:22122895

Minesaki, Yukitaka ^[1]

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

For the restricted three-body problem, we propose an accurate orbital integration scheme that retains all conserved quantities of the two-body problem with two primaries and approximately preserves the Jacobi integral. The scheme is obtained by taking the limit as mass approaches zero in the discrete-time general three-body problem. For a long time interval, the proposed scheme precisely reproduces various periodic orbits that cannot be accurately computed by other generic integrators.

• OSTI ID: 22122895
• Journal Information: Astronomical Journal (New York, N.Y. Online), Vol. 146, Issue 2; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1538-3881
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
APPROXIMATIONS
MASS
MECHANICS
ORBITS
PERIODICITY
SIMULATION
THREE-BODY PROBLEM
TWO-BODY PROBLEM