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Дата последнего поиска статьи во внешних источниках: 26 января 2016 г.
Местоположение издательства:Road Town, United Kingdom
Первая страница:346
Последняя страница:359
Аннотация:In the study of the motion of planets and moons, it is often necessary to have a simple approximate analytical motion model, which takes into account major perturbations and preserves almost the same accuracy at long time intervals. A precessing ellipse model is
used for this purpose. In this paper, it is shown that for small eccentricities this model of the perturbed or bit does not correspond to body motion characteristics.
There is perturbed circular motion with a constant zero mean anomaly. The corresponding solution satisfies the Lagrange equations with respect to Keplerian orbital elements. There are two families of solutions with libration and circulation changes in the mean anomaly
close to this particular solution. The paper shows how the eccentricity and mean anomaly change in these solutions. Simple analytical models of the motion of the
four closest moons of Jupiter consistent with available ephemerides are proposed, which in turn are obtained by the numerical integration of motion equations and are refined by observations.