Journal
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
Volume 94, Issue 2, Pages 237-248Publisher
SPRINGER
DOI: 10.1007/s10569-005-5533-3
Keywords
dynamics; geometric elements; numerical simulations; rings
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We derive the transformations to convert the state vector in cartesian coordinates into geometric orbital elements (and conversely the geometric elements into the state vector) for a test particle moving around an oblate planet. These transformations arise from the epicyclic theory and are accurate to second order in eccentricity and inclination. This paper is written to be directly used for computational purposes, such as the numerical study of ring dynamics.
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