Long initial value test problems from simulations of the Solar System

P.W. Sharp


N-body simulations of the Solar System are a rich source of initial value problems
for ordinary differential equations. The problems range from the simulation
of two bodies requiring a few milliseconds of CPU time to large simulations
of a hundred thousand bodies or more requiring CPU time counted in months.
We describe five N-body models and use them with long intervals of integration
to compare the integrators DIVA, STEP, RKNINT and RKSUITE.

Solar System, long simulations, test problems, comparisons

Math Review Classification
Primary 65L05 ; Secondary 70F10

Last Updated
July 31, 2001


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