The theory of Schwarzschild geodesics is revisited. Basing on a result by
    Weierstrass and Biermann, we derive a formula describing all non radial,
    timelike and null trajectories in terms of Weierstrass elliptic functions.
    Quite remarkably, a single formula works for an entire geodesic trajectory,
    even if it passes through turning points. Using this formula, we derive
    expressions for the proper and coordinate time along the geodesic.

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