Near-integrability as a numerical tool in solar system dynamics

Details Near-integrability as a numerical tool in solar system dynamics Near-integrability as a numerical tool in solar system dynamics

Mar 2001

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2001a%26a...368..706k&link_type=abstract

Astronomy and Astrophysics, v.368, p.706-711 (2001)

Astronomy and Astrophysics

Astrophysics

2

Methods: Numerical, Celestial Mechanics, Solar System: General

Scientific paper

We present a simple choice of integration variables that can be used to exploit the near-integrable character of problems in celestial mechanics. The approach is based on the well-known principle of variation of parameters: instead of orbital elements, we use the phase-space coordinates the object would have at a given point in its (Keplerian) orbit if the perturbing forces were removed. This formulation is suitable for almost any numerical integrator; thus, multistep schemes are easy to build, stepsize can be adjusted, and dissipative forces are allowed. Compared with traditional non-symplectic N-body integrators, the approach often offers increase in speed or accuracy if perturbations are small.

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