numerical integration of systems of differential equations arising in celestial mechanics / by roy d. north. --
abstract
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.
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