On the efficiency of Runge-Kutta-Nystrom methods with interpolants for solving equations of the form Y double prime = F(T,Y,Y prime) over short timespans

Details On the efficiency of Runge-Kutta-Nystrom methods with interpolants for solving equations of the form Y double prime = F(T,Y,Y prime) over short timespans On the efficiency of Runge-Kutta-Nystrom methods with interpolants for solving equations of the form Y double prime = F(T,Y,Y prime) over short timespans

Dec 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992cemda..53..329t&link_type=abstract

Celestial Mechanics and Dynamical Astronomy (ISSN 0923-2958), vol. 53, no. 4, 1992, p. 329-346.

Astronomy and Astrophysics

Astronomy

Boundary Value Problems, Celestial Mechanics, Orbital Mechanics, Runge-Kutta Method, Computerized Simulation, Differential Equations, Interpolation, Three Body Problem

Scientific paper

Runge-Kutta-Nystrom (RKN) codes for the solution of the initial value problem for the general second-order differential system were developed recently, although the methodology on which they are based was known many years ago. The efficiency of several general Runge-Kutta-Nystrom (GRKN) methods is examined by posing some criteria of cost and accuracy. These methods supplied with the corresponding interpolants are applied to some problems of celestial dynamics. The results obtained show that these codes have good responses in the approximation of the solution of these problems.

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