Abstract
In this paper we study the effects of short-period perturbations in the planar asteroidal problem with Stokes drag. The averaging of the dissipative terms is extended to show the appearance of crossed-terms which, in most commensurabilities, are more important than several zeroth-order terms calculated in previous works.
In the case of resonance trapping in a libration point, we also discuss the effects of the eccentricity of the perturber in the stationary solution. For the so-called ‘universal eccentricity’, we show that the contributions due to both, short-period terms and harmonics of the auxiliary resonant angle, lead to a corrected value which is no longer invariant. The most significant dependence of this new librational eccentricity is with the eccentricity of the perturber, although a slight variation is also noted with respect to the chosen drag coefficient.
In all cases, we present comparisons with numerical simulations of the exact N-body equations.
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Beaugé, C. On The Effect of Short-Period Terms in Resonance Trapping. Celestial Mechanics and Dynamical Astronomy 68, 283–303 (1997). https://doi.org/10.1023/A:1008226804738
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DOI: https://doi.org/10.1023/A:1008226804738