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We investigate autonomous perturbations on the orbits of LISA, namely theeffects produced by fields that can be expressed only in terms of the position,but not of time in the Hill frame. This first step in the study of the LISAorbits has been the subject of recent papers which implement analyticaltechniques based on a "post-epicyclic" approximation in the Hill frame to findoptimal unperturbed orbits. The natural step forward is to analyze theperturbations to purely Keplerian orbits. In the present work a particularemphasis is put on the tidal field of the Earth assumed to be stationary in theHill frame. An accurate interpretation of the global structure of the perturbedsolution sheds light on possible implications on injection in orbit when thetime base-line of the mission is longer than that assumed in previous papers.Other relevant classes of autonomous perturbations are those given by thecorrections to the Solar field responsible for a slow precession and a globalstationary field, associated to sources like the interplanetary dust or a localdark matter component. The inclusion of simple linear contributions in theexpansion of these fields produces secular solutions that can be compared withthe measurements and possibly used to evaluate some morphological property ofthe perturbing components.

Autonomous perturbations of LISA orbits