A note concerning the 2:1 and the 3:2 resonances in the asteroid belt View Full Text


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Article Info

DATE

1996-03

AUTHORS

Jacques Henrard

ABSTRACT

The dynamical behavior of asteroids inside the 2:1 and 3:2 commensurabilities with Jupiter presents a challenge. Indeed most of the studies, either analytical or numerical, point out that the two resonances have a very similar dynamical behavior. In spite of that, the 3:2 resonance, a little outside the main belt, hosts a family of asteroids, called the Hildas, while the 2:1, inside the main belt, is associated to a gap (the Hecuba gap) in the distribution of asteroids. In his search for a dynamical explanation for the Hecuba gap, Wisdom (1987) pointed out the existence of orbits starting with low eccentricity and inclination inside the 2:1 commensurability and going to high eccentricity, and thus to possible encounters with Mars. It has been shown later (Henrard et al.), that these orbits were following a path from the low eccentric belt of secondary resonances to the high eccentric domain of secular resonances. This path crosses a bridge, at moderate inclination and large amplitude of libration, between the two chaotic domains associated with these resonances. The 3:2 resonance being similar in many respects to the 2:1 resonance, one may wonder whether it contains also such a path. Indeed we have found that it exists and is very similar to the 2:1 one. This is the object of the present paper. More... »

PAGES

107-114

References to SciGraph publications

  • 1986-09. A perturbation method for problems with two critical arguments in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1994-09. Extended Schubart Averaging in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1996. Chaotic Transitions in Resonant Asteroidal Dynamics in CHAOS IN GRAVITATIONAL N-BODY SYSTEMS
  • 1996-03. Chaotic transitions in resonant asteroidal dynamics in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1994. Kirkwood Gaps and Resonant Groups in ASTEROIDS, COMETS, METEORS 1993
  • 1993-10. The main mean motion commensurabilities in the planar circular and elliptic problem in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
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    http://scigraph.springernature.com/pub.10.1007/bf00051609

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    http://dx.doi.org/10.1007/bf00051609

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