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On the Stability of Realistic Three-Body Problems

Luigi Chierchia; Alessandra Celletti

We consider the system Sun—Jupiter—Ceres as an example of a planar, circular, restricted three-body problem and, after substituting the mass ratio of Jupiter/Sun (which is approximately 10-3) 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 \(\). The proof is "computer-assisted".

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Publication date:
June 1, 1997
DOI:
10.1007/s002200050115

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Mathematical Physics Statistical and Nonlinear Physics
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