Dynamical Behavior of Asteroids Near Resonance: the 4:1 gap and the 7:2 Group |
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Authors: | Miquel Grau Guillermo González-Casado |
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Institution: | (1) Departament de Matemàtica Aplicada II, Facultat de Matemàtiques i Estadística, Universitat Politècnica de Catalunya, Pau Gargallo 5, 08028 Barcelona, Spain |
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Abstract: | A comparative study of the evolution of the Sun–Jupiter–Asteroid system near the 4:1 and 7:2 resonances is performed by means
of two techniques that proceed differently from the Hamiltonian corresponding to the planar restricted elliptic three-body
problem. One technique is based on the classical Schubart averaging while the other is based on a mapping method in which
the perturbing part of the Hamiltonian is expanded and the resulting terms are ordered according to a weight function that
depends on the powers of eccentricities and the coefficients of the terms. For the mapping method the effect of Saturn on
the asteroidal evolution is introduced and the degree of chaos is estimated by means of the Lyapunov time. Both methods are
shown to lead to similar results and can be considered a suitable tool for describing the evolution of asteroids in the Kirkwood
gap and the group corresponding to the 4:1 and 7:2 Jovian resonances, respectively.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | asteroids averaging mapping resonances |
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