Computer Science – Numerical Analysis
Scientific paper
Jul 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993avest..27...87v&link_type=abstract
Astronomicheskii Vestnik (ISSN 0320-930X), vol. 27, no. 4, p. 87-101
Computer Science
Numerical Analysis
Asteroids, Evolution (Development), Jupiter (Planet), Numerical Analysis, Orbital Resonances (Celestial Mechanics), Three Body Problem, Algorithms, Orbit Calculation, Orbital Elements, Ratios, Statistical Analysis, Time Dependence
Scientific paper
The orbits of asteroids for which the ratio of their mean motions to Jupiter's one is close to (m + 3)/m, where m is integer, are discussed in the case of the restricted circular three-body problem. Time dependences of the resonant asteroids' orbital elements are derived in terms of the Weierstrass functions. Formulas for computing the elements' alteration periods and variation limits of eccentricity and of semimajor axis are obtained. The method described in the first part of the paper for solving the problem of the evolution of resonant asteroids' orbits is considered with regard to Minerva-type asteroids moving close to commensurability 5:2 to Jupiter. The algorithm for computing evolution characteristics of the asteroids is suggested. Statistical analysis of resonant group 5:2 was carried out.
Gerasimov Igor A.
Vinnikov E. L.
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