Numerical long-term integration of geodesic equations of motion
Numerical long-term integration of geodesic equations of motion
Numerical long-term integration of geodesic equations of motion
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Structure preserving integrator for Geodesic <strong>equations</strong>Structure preserving step size algorithmsVariable step size and efficient symplectic<strong>integration</strong> are not compatible,cf. [St<strong>of</strong>fer, 1988]◮ Reversibility + symmetry yield conservation properties similar tosymplecticity, cf. [Hairer et al., 2006]⇒ Try to preserve symmetry and reversibility!◮ First attempts for classical celestial mechanics, cf.[Hairer and Söderlind, 2005].◮ These fail for Geodesic <strong>equations</strong> (see experiments below)10/26 | Jonathan Seyrich (<strong>Numerical</strong> <strong>long</strong>-<strong>term</strong> <strong>integration</strong>) Tübingen | January 21, 2013
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