Sharp, P.W.2009-08-282009-08-282001-07Department of Mathematics - Research Reports-468 (2001)1173-0889http://hdl.handle.net/2292/5160N-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.https://researchspace.auckland.ac.nz/docs/uoa-docs/rights.htmTechnical ReportFields of Research::230000 Mathematical Sciences::230100 MathematicsThe author(s)