The small-energy three-body systems

Details The small-energy three-body systems The small-energy three-body systems

Mar 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990cemda..48...79g&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 48, no. 1, 1990, p. 79-94. Research supported by RZN of Serbi

Statistics

Computation

1

Center Of Gravity, Gravitational Effects, Three Body Problem, Three Dimensional Bodies, Computational Astrophysics, Harmonic Oscillators, Quantum Mechanics

Scientific paper

Near-Lagrange collinear configurations in the three-dimensional three-body problem with arbitrary gravitating masses are investigated. A general method, previously developed for Coulombian systems, which provides a unique formalism for treating few-body systems close to the breakup threshold, has been employed to study the motion of three bodies both for bounded and unbounded configurations. The dependence of the triple-escape function on the small total energy E has been evaluated, as well as 'rovibronic configurations' for bounded motion. An approximate characteristic constant is found for symmetrical systems. For equal-mass systems, this constant acquires the value 1.05288.

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