  This paper performs a systematic investigation of geodesic motion in
Euclidean Schwarzschild geometry, which is studied in the equatorial plane. The
explicit form of geodesic motion is obtained in terms of incomplete elliptic
integrals of first, second and third kind. No elliptic-like orbits exist in
Euclidean Schwarzschild geometry, unlike the corresponding Lorentzian pattern.
Among unbounded orbits, only unbounded first-kind orbits are allowed, unlike
general relativity where unbounded second-kind orbits are always allowed.
