Seminarium Teorii Względności i Grawitacji

I will revisit the theory of Schwarzschild geodesics. Basing on a result by Weierstrass and Biermann, I will present a new formula describing all non radial, timelike and null trajectories in terms of Weierstrass elliptic functions. This single formula works for an entire geodesic trajectory, even if it passes through turning points. I will also show how it becomes an ellipse equation in post-Newtonian approximation. Expressions for the proper and coordinate time along the geodesic also will be presented. Transmission also in zoom