  Fermi coordinates are directly constructed in de Sitter and Goedel spacetimes
and the corresponding exact coordinate transformations are given explicitly.
The quasi-inertial Fermi coordinates are then employed to discuss the dynamics
of a free test particle in these spacetimes and the results are compared to the
corresponding generalized Jacobi equations that contain only the lowest-order
tidal terms. The domain of validity of the generalized Jacobi equation is thus
examined in these cases. Furthermore, the difficulty of constructing explicit
Fermi coordinates in black-hole spacetimes is demonstrated.
