On the analogy between orbital dynamics and rigid body dynamics

Details On the analogy between orbital dynamics and rigid body dynamics On the analogy between orbital dynamics and rigid body dynamics

Dec 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979jansc..27..345j&link_type=abstract

Journal of the Astronautical Sciences, vol. 27, Oct.-Dec. 1979, p. 345-358.

Astronomy and Astrophysics

Astronomy

Astrodynamics, Orbital Mechanics, Rigid Structures, Rotating Bodies, Differential Equations, Euler Equations Of Motion, Fourier Series, Kinematic Equations, Orbit Perturbation, Precession, Two Body Problem

Scientific paper

New details are added to an analogy between orbital dynamics and the rotational dynamics of a flexible body. The radius vector, the instantaneous orbit normal, and the associated transverse vector are used to define a ficticious body frame. Euler-type rotational equations of motion are developed for the motion of this frame in the presence of arbitrary perturbation effects; in these equations, orbit precession appears as classical gyroscopic precession, the variable radius effects appear as 'variable inertia' or 'structural coupling' effects. Euler parameters are employed to write regularized equations of motion. Asymptotic expansion and multiple time scale perturbation solutions are summarized for these equations, considering the second zonal harmonic as a perturbation.

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