On the Stability of Realistic Three-Body Problems |
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| Authors: | Alessandra Celletti Luigi Chierchia |
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| Institution: | Dipartimento di Matematica, Università dell'Aquila, 67100—Coppito, L'Aquila, Italy.?E-mail: celletti@axscaq.aquila.infn.it, IT
Dipartimento di Matematica, Università: di Roma Tre, Largo San Murialdo 1, 00146 Roma, Italy.?E-mail: luigi@matrm3.mat.uniroma3.it, IT
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| Abstract: | 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”.
Received: 1 April 1996 / Accepted: 25 October 1996 |
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