The Effect of Orbital Eccentricity and Nodal Regression on Spin-Stabilized Satellites

Details The Effect of Orbital Eccentricity and Nodal Regression on Spin-Stabilized Satellites The Effect of Orbital Eccentricity and Nodal Regression on Spin-Stabilized Satellites

Nov 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977cemec..16..263d&link_type=abstract

Celestial Mechanics, Volume 16, Issue 3, pp.263-274

Computer Science

Scientific paper

The gyroscopic motion of a spin-stabilized satellite due to gravity gradient torques in a circular orbit has been analyzed to varying degrees in numerous publications. This paper shows that the restriction to a circular orbit is, in fact, not essential and with a slight increase in complexity, noncircular orbits may be treated. More importantly, a uniform regression of the orbital node can also be accounted for. The general results are expressed in closed form using Jacobian elliptic functions. Finally, and this is perhaps most important, certain algebraic integrals of the precession are given which can be used to place limits on the excursions of the spin axis without actually solving for the motion. This allows one to design orientations such that the maximum angle between the orbit normal and spin axis never exceeds a specific amount even though the orbit normal is in precession.

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