Efficiency of collocation methods on Gaussian symmetric spacings in celestial mechanics problems
In the paper is discussed the efficiency of Runge - Kutta collocation methods on Gaussian symmetric spacings applied to problems of orbital dynamics. It is shown that the collocation methods are high-efficient tools for numerical orbit simulation. Although in the circular problem they are slightly inferior to multistep methods in efficiency, in complex problems the classical Runge - Kutta collocation methods turn out to be as good as the multistep methods and in Everhart’s algorithmic implementation their efficiency is even appreciably higher.