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

Mapping and maneuvering long-term natural orbits around Titania, a satellite of Uranus