Numerical integration of systems of differential equations arising in celestial mechanics / by Roy D. North. --
North, Roy D.
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This thesis deals primarily with solving systems of autonomous ordinary nonlinear differential equations arising in Celestial Mechanics initial value problems using various finite-difference techniques. Those methods investigated are the classical Runge-Kutta, Gill’s modification to the classical Runge-Kutta, Runge-Kutta-Nystrom, rational extrapolation a la Bulirsch and Stoer, and Taylor’s series.