Secular Motion in a 2nd Degree and Order-Gravity Field with no Rotation

Details Secular Motion in a 2nd Degree and Order-Gravity Field with no Rotation Secular Motion in a 2nd Degree and Order-Gravity Field with no Rotation

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001cemda..79..183s&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 79, Issue 3, p. 183-200 (2001).

Astronomy and Astrophysics

Astronomy

3

Dipole Gravity, Secular Motion, Averaging Methods, Analytical Solution, Dipole Gravity, Secular Motion, Averaging Methods, Analytical Solution

Scientific paper

The motion of a particle about a non-rotating 2nd degree and order-gravity field is investigated. Averaging conditions are applied to the particle motion and a qualitative analysis which reveals the general character of motion in this system is given. It is shown that the orbit plane will either be stationary or precess about the body's axis of minimum or maximum moment of inertia. It is also shown that the secular equations for this system can be integrated in terms of trigonometric, hyperbolic or elliptic functions. The explicit solutions are derived in all cases of interest.

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