Partitioned Linear Multistep Method for Long Term Integration of the N‐Body Problem
DS Vlachos, TE Simos - Applied Numerical Analysis & …, 2004 - Wiley Online Library
Applied Numerical Analysis & Computational Mathematics, 2004•Wiley Online Library
In this paper an exponential fitted partitioned linear multistep method is developed for the
long term integration of the N‐body problem. The new method integrates exactly any linear
combination of the functions 1, x, x2, x3,…, x2k–1, exp (±wx) for the coordinates and any
linear combination of the functions 1, x, x2, x3,…, x2k–3, exp (±wx) for the velocities.
Numerical results are produced and compared with a set of well known symplectic and
single step methods.(© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
long term integration of the N‐body problem. The new method integrates exactly any linear
combination of the functions 1, x, x2, x3,…, x2k–1, exp (±wx) for the coordinates and any
linear combination of the functions 1, x, x2, x3,…, x2k–3, exp (±wx) for the velocities.
Numerical results are produced and compared with a set of well known symplectic and
single step methods.(© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
Abstract
In this paper an exponential fitted partitioned linear multistep method is developed for the long term integration of the N‐body problem. The new method integrates exactly any linear combination of the functions 1, x, x2, x3 ,…, x2k–1, exp(±wx) for the coordinates and any linear combination of the functions 1, x, x2, x3,…, x2k–3, exp(±wx) for the velocities. Numerical results are produced and compared with a set of well known symplectic and single step methods. (© 2004 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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