Long-term evolution of asteroids near a resonance

Details Long-term evolution of asteroids near a resonance Long-term evolution of asteroids near a resonance

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993cemda..57...95h&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 57, no. 1-2, p. 95-96

Astronomy and Astrophysics

Astronomy

2

Asteroids, Astronomical Models, Evolution (Development), Jupiter (Planet), Mapping, Orbital Resonances (Celestial Mechanics), Solar Orbits, Three Body Problem, Elliptical Orbits, Hamiltonian Functions, Long Term Effects, Mathematical Models, Poincare Problem

Scientific paper

We report here recent work on the long term evolution of an asteroid near the 3:1 resonance with Jupiter, for planar motion, by making use of a mapping model (Hadjidemetriou, 1993). Some additional results are also included. The mapping is four dimensional and is a model for the Poincare mapping, on a surface of section, of the elliptic restricted three body problem, near the 3:1 resonance, defined at the time tn = nT, where T is the period of Jupiter in its orbit.

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