1997/04/01 by Edward Belbruno, B. G. Marsden · 1 citation
Physics and Astronomy · #Astro and Planetary Science #Astronomy and Astrophysical Research #Stellar, planetary, and galactic studies
paper · doi:10.1086/118359
openalex publication_date 1997/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/06/27
The motions of ten short-period comets strongly perturbed by Jupiter are discussed in terms of the "hop" phenomenon, in which objects move dramatically from one resonance situation to another. It is shown that the "fuzzy boundary" concept is useful in trying to develop a theoretical understanding of the situation, and a sketch of a proof is presented. It is suggested that objects associated with the 3:2 and 2:3 resonances are the ones that can become involved in weak or quasi-weak capture as temporary satellites of Jupiter. Otherwise, resonance effects of quite high order, as well as double-resonance effects, play significant dynamical roles that also warrant a mathematical explanation.