We derive a three--body problem for the Sun--Jupiter--Ceres system and, after substituting the mass ratio of Jupiter/Sun (which is approximately 10 Gamma3 ) with a parameter ", we prove the existence of stable quasi--periodic motions with frequencies close to the observed (average) frequencies reported in "The Astronomical Almanac" for j"j 10 Gamma6
Celletti, A., Chierchia, L. (1997). On the stability of realistic three body problems. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 186, 413-449 [10.1007/s002200050115].
On the stability of realistic three body problems
CELLETTI, ALESSANDRA;
1997-01-01
Abstract
We derive a three--body problem for the Sun--Jupiter--Ceres system and, after substituting the mass ratio of Jupiter/Sun (which is approximately 10 Gamma3 ) with a parameter ", we prove the existence of stable quasi--periodic motions with frequencies close to the observed (average) frequencies reported in "The Astronomical Almanac" for j"j 10 Gamma6File in questo prodotto:
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