An embedded exponentially fitted Runge Kutta Nyström method for the numerical solution of orbital problems

Details An embedded exponentially fitted Runge Kutta Nyström method for the numerical solution of orbital problems An embedded exponentially fitted Runge Kutta Nyström method for the numerical solution of orbital problems

Jul 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006newa...11..577v&link_type=abstract

New Astronomy, Volume 11, Issue 8, p. 577-587.

Astronomy and Astrophysics

Astronomy

1

02.60, 02.70.Bf, 95.10.Ce, 95.10.Eg, 95.75.Pq

Scientific paper

A new embedded pair of explicit exponentially fitted Runge Kutta Nyström methods is constructed. The methods integrate exactly systems of differential equations whose solutions are linear combinations of the functions from the set {exp(μt), exp(-μt)} (μ∈Rorμ∈iR). The pair has four stages and algebraic orders five and three. An application to some well-known orbital problem shows that the new pair is very competitive when it is compared with high-quality codes proposed in the scientific literature.

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