Evolution of resonant asteroid orbits in the case of third-order commensurabilities.

Details Evolution of resonant asteroid orbits in the case of third-order commensurabilities. Evolution of resonant asteroid orbits in the case of third-order commensurabilities.

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994sosyr..27..363v&link_type=abstract

Solar System Research, Vol. 27, No. 4, p. 363 - 375

Physics

Minor Planets: Orbital Evolution, Minor Planets: Resonances

Scientific paper

Within the restricted circular three-body problem the authors consider asteroid orbits, for which the ratio of mean motions to that of Jupiter is ≍(m+3)/m, where m is an integer. Time dependences of asteroid orbit elements are found in terms of Weierstrass functions. Equations are obtained to calculate periods of elements and the limits of variation of the eccentricity and the semimajor axis. They apply the method of solving the evolution problem of third-order resonant asteroid orbits, described in the first part of the paper, to Minerva-type asteroids, moving with near 5:2 commensurability with Jupiter. An algorithm is suggested to calculate the evolutionary characteristics of these asteroids. A statistical analysis of the 5:2 resonance group is provided.

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