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We consider a traversable wormhole solution of Einstein's gravity conformallycoupled to a massless scalar field, a solution derived by Barcelo and Visserbased on the JNWW spacetime. We study the geodesic motion of time-, light- andspace-like particles in this spacetime. We solve the equations of motionanalytically in terms of the Weierstra\ss \ functions and discuss all possibleorbit types and their parameter dependence. Interestingly, bound orbits occurfor time-like geodesics only in one of the two worlds. Moreover, under noconditions there exist time-like two world bound orbits.

Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field