The depletion of the Hecuba gap vs the long-lasting Hilda group

An asteroid captured in the Hecuba gap (2/1 resonance with Jupiter) may remain there for a long time before escaping. However, the study of the diffusion of orbits in the gap indicates an escape timescale in the range 107–109 years. The short-period perturbations of Jupiter's orbit play a determinant role in the creation of the stochasticity responsible for the escape.

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Dynamics of Real Asteroid at the Hecuba Gap

International Astronomical Union Colloquium ◽

10.1017/s0252921100072833 ◽

1999 ◽

Vol 172 ◽

pp. 387-388

Author(s):

F. Roig ◽

S. Ferraz-Mello

Keyword(s):

Life Time ◽

Short Life ◽

Hecuba Gap

AbstractWe study the dynamics of real asteroids at the 2/1 resonance with Jupiter, and find that Griqua-like objects have a short life-time inside the resonance, while Zhongguo group can survive for many 108yr.

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Hecuba Gap and the Hilda Group

The Astronomical Journal ◽

10.1086/110687 ◽

1968 ◽

Vol 73 ◽

pp. 730 ◽

Cited By ~ 1

Author(s):

Andre Deprit

Keyword(s):

Hecuba Gap

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Stability of Asteroidal Motion in the Hecuba Gap

Symposium - International Astronomical Union ◽

10.1017/s0074180900070418 ◽

1974 ◽

Vol 62 ◽

pp. 77-79 ◽

Cited By ~ 2

Author(s):

H. Scholl ◽

R. Giffen

Keyword(s):

Frequency Distribution ◽

Mean Motion ◽

The Mean ◽

Hecuba Gap ◽

Asteroidal Motion

There exist gaps in the frequency distribution of the osculating mean motions of the asteroids. In these gaps, the mean motions of the asteroids are commensurable to Jupiter's mean motion.

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Slow and Fast Diffusion in Asteroid-Belt Resonances: A Review

International Astronomical Union Colloquium ◽

10.1017/s0252921100072389 ◽

1999 ◽

Vol 172 ◽

pp. 25-37

Author(s):

S. Ferraz-Mello

Keyword(s):

Solar System ◽

Chaotic Behaviour ◽

Asteroid Belt ◽

Fast Diffusion ◽

Outer Solar System ◽

Recent Advances ◽

Short Period ◽

Hecuba Gap

AbstractThis paper reviews recent advances in several topics of resonant asteroidal dynamics as the role of resonances in the transportation of asteroids and asteroidal debris to the inner and outer solar system; the explanation of the contrast of a depleted 2/1 resonance (Hecuba gap) and a high-populated 3/2 resonance (Hilda group); the overall stochasticity created in the asteroid belt by the short-period perturbations of Jupiter’s orbit, with emphasis in the formation of significant three-period resonances, the chaotic behaviour of the outer asteroid belt, and the depletion of the Hecuba gap.

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