Analytic Study of Long-Term Variations in Kozai Oscillations

Details Analytic Study of Long-Term Variations in Kozai Oscillations Analytic Study of Long-Term Variations in Kozai Oscillations

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011ess.....2.0903k&link_type=abstract

American Astronomical Society, ESS meeting #2, #9.03

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Scientific paper

It was recently shown that the addition of the Octupole term to the expansion of the potential of a distant perturber to a Keplerian orbit can lead to long term variations of the known Kozai Oscillations. These variations can have very interesting effects including extremely high eccentricities and the generation of retrograde orbits with respect to the perturber. We solve this problem analytically for the test particle case at high inclinations. In particular we give analytic expressions for the requirements to produce retrograde orbits and high eccentricities. This may have important implications for understanding the properties of Hot Jupiters, tight binaries and possibly many other systems. We show that a similar effect occurs for other non-axisymetric deviations, such as from a triaxial tidal field.

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