Effects of asteroids on the orbital motions of terrestrial planets

Statistics – Methodology

Scientific paper

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Scientific paper

This work is presented in order to try to assess with as much detail as possible the effects of the largest asteroids on the orbits of terrestrial planets Mercury, Venus, Earth and Mars. The present planetary ephemerides, as INPOP08 (Fienga et al 2009) and DE405 (Standish et al, 1998) are subject to a lack of accuracy, because of the perturbations arising from a large number of asteroids. Those perturbations could reach a few kilometers in several decades in the case of Mars for instance. So it looks appropriate to model in details the individual specific effects of these asteroids. For that our methodology consisted of several stages: a numerical integration of the orbits of the planets with and without the disturbing asteroid from which we want to know the effects; a determination of the signal representing the effects, by simple subtraction; an analysis of this signal by FFT (Fast Fourier Transform / Fast Fourier Transform); and adjustment of the signal by the set of sinusoids determined in the previous step. This type of study is interesting in many fields, such as planetary ephemerides, as well as spatial navigation, to understand better the effects of each asteroid taken individually on the terrestrial planets. Note that this type of study is a continuation of previous studies (Williams 1984; Mouret et al 2009)

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