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
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Structure preserving integrator for Geodesic <strong>equations</strong>Theorem (Structure preserving properties)Combining an s-stage Gauss Runge-Kutta method with the variable step sizeh n (ɛ, Y i ) (cf. last slide) yields a symmetric and reversible scheme!Pro<strong>of</strong>.Cf. [Seyrich and Lukes-Gerakopoulos, 2012]12/26 | Jonathan Seyrich (<strong>Numerical</strong> <strong>long</strong>-<strong>term</strong> <strong>integration</strong>) Tübingen | January 21, 2013
Change language