Mathematics – Probability
Scientific paper
Feb 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992icar...95..244h&link_type=abstract
Icarus (ISSN 0019-1035), vol. 95, Feb. 1992, p. 244-252.
Mathematics
Probability
7
Capture Effect, Miranda, Orbital Resonances (Celestial Mechanics), Umbriel, Analytic Functions, Hamiltonian Functions, Perturbation Theory
Scientific paper
The tidal evolutions of Miranda and Umbriel in the 1:3, i-squaredM resonance are presently addressed via analyses of the role of secondary resonances during tidal evolution within a j:j+2 orbit-orbit resonance. The results thus obtained allow both analytical and numerical refinement of Malhotra's (1990) results for the probability of capture into secondary resonances. Attention is given to Miranda's evolution in the case of capture into the 3/1 secondary resonance.
Henrard Jacques
Moons Michele
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