Abstract
It is well known that the perturbing effects of any asteroid are negligible at all times, except during a close encounter. The influence of a perturbing asteroid on the motion of a perturbed one can be investigated by means of the differences of the right ascensions and declinations of the perturbed asteroid, as inferred from two numerical integrations, the one with and the other without taking into account the effects of the perturbing asteroid (Kuzmanoski and Knežević, 1994). These effects before reaching the epoch of the close encounter are very small, as expected. Beyond this epoch, the differences increase with time, due to the fact that the orbit is changed on account of the influence of the perturbing body during the close approach, so that perturbations by major planets act on it in a different way.
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