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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<strong>Numerical</strong> properties <strong>of</strong> the <strong>equations</strong>◮ In general[∥∂f∂y](Y i ) ∥ ≫ 1, for some Y i◮ But we need[h ∥∂f∂y](Y i ) ∥ < 1,∀Y i◮ Step size h must be very small for some Y i .⇒ Use variable step size!Problem:Standard step size controller destroy integrator’s structure9/26 | Jonathan Seyrich (<strong>Numerical</strong> <strong>long</strong>-<strong>term</strong> <strong>integration</strong>) Tübingen | January 21, 2013
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