Reserch institute of applaied mathemetics and mechanics of Tomsk state university, Tomsk, Russia
The results obtained by the authors in the process of investigation and application of the algorithm of Enker-type in regularizing and stabilizing Kustaanheimo-Stiffel variables are qiven. The algorithm has been saggested by N.A.Sharkovsky and designed for a long-term numerical progmostication of motion of space objects on a computer with a limited word length. The algorithm is based on the application of the idea of Enker's method to the equations in regularizing and stabilizing variables and the use of Kepler's anomaly (eccentric or true) as an independent variable. A high efficiency of the method in the problems of dynamics of artificial earth satellites as well as in prognostication of motion of natural satellites of planets and asteroids is shown. The algorithm allows to hold very high accuracy of numerical semulation of the motion on large interval of time measured of thousends of revolutions of objects.