Institute of High-Performance Systems of RAS, Moscov, Russia
The various problems of celestial mechanics are resulted in a problem about revealing of latent periodicity, namely in a problem about approximation of given tabular conditional periodic function F(t) trigonometrical polynom, where the amplitudes , frequency and quantity of harmonics are unknown . In the work the reducing method for the solution of this problem, based on Furier transforms F(t) of original function f(t), which offers to find unknown harmonics is represented. The equations in unknown the amplitudes , frequency of harmonics are product. The computing scheme of the method is considered. Unknow the amplitudes, frequency ÿand quantity of harmonics in k steps are defined and are corrected, simultaneously with the expansion of the systems of equations. The computing algorithms and the method of revealing of the frequent function F(t) extremums is represented. This method was used for the construction of the theory of asteroids group orbits perturbations.