Other
Scientific paper
Jul 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007dda....38.0304h&link_type=abstract
American Astronomical Society, DDA meeting #38, #3.04
Other
Scientific paper
Tides raised by an orbiting satellite on its parent planet act back on the satellite and cause its orbit to spiral slowly inward or outward. Such motions can bring satellites into resonances with one another; exact resonance happens when the ratio of satellite orbital periods satisfies (p+q)/p where p and q are integers. Resonance passage can occur for converging orbits, where this ratio decreases in time, or for diverging orbits where it increases. It has long been recognized that resonance encounters with converging orbits typically lead to resonance trapping with accompanying slow growth in eccentricities and/or inclinations. Conversely, those encounters with diverging orbits invariably lead to rapid resonance passages and sharp kicks to orbital eccentricities and/or inclinations. We will show why this occurs for all isolated first (q=1) and second (q=2) order resonances, and will describe how the opposite - resonance capture for diverging orbits - can occur for i) higher-order resonances and ii) cases where multiple resonances are active simultaneously. We also introduce a new resonance overlap criterion. Wisdom (1980) showed that adjacent (p+1):p resonances, each with given resonance widths, will overlap when p > 0.5(M/m)(2/7), where M is the mass of the central object and m is the satellite mass. In satellite systems, individual (p+1):p resonances are split into closely-spaced multiplets by the orbital precession induced by the oblateness of the central planet. We show that the strongest resonances in a multiplet overlap when p > (J2 R2/a2)(3/7) (M/m)(2/7). Finally, we survey the giant planet satellite systems for this type of overlap and will discuss the dynamical behavior that can occur when it is present.
Hamilton Douglas P.
Zhang Kaicheng
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