  The complete set of analytic solutions of the geodesic equation in a
Schwarzschild--(anti) de Sitter space--time is presented. The solutions are
derived from the Jacobi inversion problem restricted to the theta--divisor. In
its final form the solutions can be expressed in terms of derivatives of
Kleinian sigma functions. The solutions are completely classified by the
structure of the zeros of the characteristic polynomial which depends on the
energy, angular momentum, and the cosmological constant.
