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## Numerical integration in celestial mechanics: a case for contact geometry

Bravetti, A., Seri, M., Vermeeren, M. & Zadra, F., 5-Sep-2019, (Submitted) In : ArXiv e-prints.

Several dynamical systems of interest in celestial mechanics can be written in the form $$\ddot q + \frac{\partial V(q,t)}{\partial q}+f(t)\dot q=0\,.$$ For instance, the modified Kepler problem, the spin-orbit model and the Lane-Emden equation all belong to this class.