  We give a fully analytical description of radial and angular geodesics for
massive particles that travel in the spacetime provided by a (3+1)-dimensional
scale-dependent black hole in the cosmological background, for which, the
quantum corrections are assumed to be small. We show that the equations of
motion for radial orbits can be solved by means of Lauricella hypergeometric
functions with different numbers of variables. We then classify the angular
geodesics and argue that no planetary bound orbits are available. We calculate
the epicyclic frequencies of circular orbits at the potential's maximum and the
deflection angle of scattered particles is also calculated. Finally, we resolve
the raised Jacobi inversion problem for the angular motion by means of a
genus-2 Riemannian theta function, and the possible orbits are derived and
discussed.
