@Article{XavierPradWintAmar:2022:MaLoNa,
               author = "Xavier, Jadilene and Prado, Antonio Fernando Bertachini de Almeida 
                         and Winter, Silvia Giuliatti and Amarante, Andr{\'e}",
          affiliation = "{Universidade Estadual Paulista (UNESP)} and {Instituto Nacional 
                         de Pesquisas Espaciais (INPE)} and {Universidade Estadual Paulista 
                         (UNESP)} and {Universidade Estadual Paulista (UNESP)}",
                title = "Mapping Long-Term Natural Orbits about Titania, a Satellite of 
                         Uranus",
              journal = "Symmetry",
                 year = "2022",
               volume = "14",
               number = "4",
                pages = "e667",
                month = "Apr.",
             keywords = "astrodynamics, celestial mechanics, lifetime, numerical 
                         simulations, orbits, planetary satellite.",
             abstract = "Close polar and circular orbits are of great interest for the 
                         exploration of natural satellites. There are still no studies in 
                         the literature investigating orbits around Titania, the largest 
                         satellite of Uranus. In this work, we present results of a set of 
                         numerical simulations carried out to obtain long-duration orbits 
                         for a probe around Titania. Through an expansion of the 
                         gravitational potential up to second order, the asymmetry of the 
                         gravitational field due to Titanias coefficient C22, the zonal 
                         coefficient J2, and the gravitational perturbation of Uranus is 
                         considered. The analysis of lifetime sensitivity due to possible 
                         errors in the values of J2 and C22 is investigated using multiple 
                         regression models. Simulations were performed for different 
                         eccentricity values, and lifetime maps were constructed. The 
                         results show that low-altitude and near-circular 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 the longitude of periapsis 
                         (\ω) and longitude of the ascending node (\Ω) are 
                         essential to increase the lifetime up to eight times compared to 
                         cases where \ω = \Ω = 0°. We also show that an orbit 
                         with eccentricity 10\−3 is the most affected by errors in 
                         the values of J2 and C22.",
                  doi = "10.3390/sym14040667",
                  url = "http://dx.doi.org/10.3390/sym14040667",
                 issn = "2073-8994",
             language = "en",
           targetfile = "symmetry-14-00667.pdf",
        urlaccessdate = "25 jun. 2024"
}