{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T02:57:24Z","timestamp":1760151444205,"version":"build-2065373602"},"reference-count":30,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2022,3,24]],"date-time":"2022-03-24T00:00:00Z","timestamp":1648080000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>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 Titania\u2019s 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 (\u03c9) and longitude of the ascending node (\u03a9) are essential to increase the lifetime up to eight times compared to cases where \u03c9=\u03a9=0\u2218. We also show that an orbit with eccentricity 10\u22123 is the most affected by errors in the values of J2 and C22.<\/jats:p>","DOI":"10.3390\/sym14040667","type":"journal-article","created":{"date-parts":[[2022,3,24]],"date-time":"2022-03-24T23:31:43Z","timestamp":1648164703000},"page":"667","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["Mapping Long-Term Natural Orbits about Titania, a Satellite of Uranus"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7009-1572","authenticated-orcid":false,"given":"Jadilene","family":"Xavier","sequence":"first","affiliation":[{"name":"Grupo de Din\u00e2mica Orbital e Planetologia (GDOP), S\u00e3o Paulo State University (UNESP), Guaratinguet\u00e1 12516-410, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-7966-3231","authenticated-orcid":false,"given":"Ant\u00f4nio Bertachini","family":"Prado","sequence":"additional","affiliation":[{"name":"Academy of Engineering, Peoples\u2019 Friendship University of Russia (RUDN University), 6 Miklukho-Maklaya Street, 117198 Moscow, Russia"},{"name":"Postgraduate Division, National Institute for Space Research (INPE), S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3949-6045","authenticated-orcid":false,"given":"Silvia Giuliatti","family":"Winter","sequence":"additional","affiliation":[{"name":"Grupo de Din\u00e2mica Orbital e Planetologia (GDOP), S\u00e3o Paulo State University (UNESP), Guaratinguet\u00e1 12516-410, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9448-141X","authenticated-orcid":false,"given":"Andre","family":"Amarante","sequence":"additional","affiliation":[{"name":"Federal Institute of Education, Science and Technology of S\u00e3o Paulo (IFSP), S\u00e3o Jos\u00e9 dos Campos 12227-010, SP, Brazil"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2022,3,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"6","DOI":"10.1016\/j.actaastro.2020.01.030","article-title":"QUEST: A New Frontiers Uranus orbiter mission concept study","volume":"170","author":"Jarmak","year":"2020","journal-title":"Acta Astronaut."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Cartwright, R.J., Beddingfield, C.B., Nordheim, T.A., Elder, C.M., Castillo-Rogez, J.C., Neveu, M., Bramson, A.M., Sori, M.M., Buratti, B.J., and Pappalardo, R.T. 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