  In this work, we present the results of a set of numerical simulations
carried out to obtain long-duration orbits for a probe around Titania, Uranus'
largest satellite. We also propose orbital maneuvers to extend the lifetime of
some orbits. Titania's $J_2$ and $C_{22}$ gravitational coefficients and
Uranus' gravitational perturbation are considered. The analysis of lifetime
sensitivity due to possible errors in $J_2$ and $C_{22}$ values is investigated
using multiple regression models. Simulations were performed for eccentricity
equal 10-4, and lifetime maps were constructed. The results show that
low-altitude orbits have longer lifetimes due to the balance between the
disturbance of Uranus and the gravitational coefficients of Titania. The
results also show that non-zero values of periapsis longitude ($\omega$) and
ascending node longitude ($\Omega$) are essential to increase lifespan.
Furthermore, the results indicate that the most economical maneuver occurs for
final orbits of radius equal to 1050 km, this is observed for all inclination
values.
