Use of the Geometric Elements in Numerical Simulations

Details Use of the Geometric Elements in Numerical Simulations Use of the Geometric Elements in Numerical Simulations

Feb 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cemda..94..237r&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 94, Issue 2, pp.237-248

Astronomy and Astrophysics

Astronomy

4

Dynamics, Geometric Elements, Numerical Simulations, Rings

Scientific paper

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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