Journal
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
Volume 106, Issue 2, Pages 143-156Publisher
SPRINGER
DOI: 10.1007/s10569-009-9248-8
Keywords
Algorithmic regularization; Extrapolation methods; Auxiliary velocity algorithm (AVA); Bulirsch-Stoer
Funding
- European Commission [MRTN-CT-2006-035151]
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A new algorithm is presented for the numerical integration of second-order ordinary differential equations with perturbations that depend on the first derivative of the dependent variables with respect to the independent variable; it is especially designed for few-body problems with velocity-dependent perturbations. The algorithm can be used within extrapolation methods for enhanced accuracy, and it is fully explicit, which makes it a competitive alternative to standard discretization methods.
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