Electronic Resource
Springer
Celestial mechanics and dynamical astronomy
14 (1976), S. 465-492
ISSN:
1572-9478
Source:
Springer Online Journal Archives 1860-2000
Topics:
Physics
Notes:
Abstract A three-body problem is considered in which two masses, forming a close binary, orbit a comparatively distant mass. An asymptotic solution of this problem is presented, where the small parameter ε is related to the distance separating the binary and the remaining mass. Accepting certain model constraints, this solution is accurate within a constant errorO(ε11) and uniformly valid for time intervalsO(ε−3). Two specific examples are chosen to verify the literal solution: one relating to the Sun-Earth-Moon configuration of the solar system, the other to an idealized stellar system where the three masses are in the ratio 20:1:1. In both cases close agreement is found when the analytical solution is compared with an equivalent numerically-generated orbit.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01229058
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