Stability of resonance rotation of a satellite with respect to its center of mass in the orbit plane

Details Stability of resonance rotation of a satellite with respect to its center of mass in the orbit plane Stability of resonance rotation of a satellite with respect to its center of mass in the orbit plane

Mar 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006cosre..44..160s&link_type=abstract

Cosmic Research, Volume 44, Issue 2, pp.160-171

Physics

1

96.12.De

Scientific paper

The stability of resonance oscillations and rotations of a satellite in the plane of its orbit in the case when the difference of the moments of inertia with respect to the principal axes lying in the orbit plane is small is determined at a given rotation number m by the sign of function Φm(e), introduced by F.L. Chernous’ko in 1963. In this paper, convenient analytical representations of functions Φm(e) are described in the form of integrals and series of Bessel functions regular at e → 1-. Values of Φm(1) are calculated in explicit form. A theorem about the double asymptotic form of functions Φm(e) at m → ∞ and e → 1- is proved by the saddlepoint method.

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