Abstract
The natural satellite of Jupiter, Io, is one of the most interesting bodies in the solar system and deserves to be studied in detail. Up to now, no man-made vehicle has orbited Io because the level of radiation is too high for an orbiter to stay nearby for longer periods of time. In that sense, only flyby missions have studied this body. With the advance of technology, an important step in Solar System research is to develop shields that are strong enough to make orbiter missions around Io possible in the near future. With that in mind, the present paper has the goal, as first step, of map** possible stable orbits around Io that can accommodate a spacecraft and that do not require station-kee** maneuvers to survive. The dynamical system considers the gravity fields of the Sun, Jupiter, Saturn, Europa, Ganymede, Callisto and the non-spherical shape of Jupiter and Io. To help in this search and to better explain the reasons of stability, integral indices are used to map the less perturbed orbits to guide the numerical searches for stable orbits. We observe several regions of bounded orbits around Io. In these orbits, a relation between the perturbation indices and the duration of stability is found, demonstrating the importance of this tool in mission analyses. Several regions of bounded orbits are found in this system.
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References
Acuna, M.H., Ness, N.F.: The main magnetic field of Jupiter. J. Geophys. Res. 81(16), 2917–2922 (1976)
Aljbaae, S., Sanchez, D.M., Prado, A.F.B.A., Souchay, J., Terra, M.O., Negri, R.B., Marchi, L.O.: First approximation for spacecraft motion relative to (99942) Apophis. ar**v e-prints, 2012–06781 (2020) ar**v:2012.06781 [astro-ph.EP]
Aljbaae, S., Sanchez, D.M., Prado, A.F.B.A., Souchay, J., Terra, M.O., Negri, R.B., Marchi, L.O.: First approximation for spacecraft motion relative to (99942) Apophis. Rom. Astron. J. 31(3), 241–264 (2021b) ar**v:2012.06781 [astro-ph.EP]. https://doi.org/10.48550/ar**v.2012.06781
Aljbaae, S., Souchay, J., Carruba, V., Sanchez, D.M., Prado, A.F.B.A.: Influence of Apophis’ spin axis variations on a spacecraft during the 2029 close approach with Earth. Rom. Astron. J. 31(3), 317–337 (2021a) ar**v:2105.14001 [astro-ph.EP]. https://doi.org/10.48550/ar**v.2105.14001
Aljbaae, S., Chanut, T.G.G., Prado, A.F.B.A., Carruba, V., Hussmann, H., Souchay, J., Sanchez, D.M.: Orbital stability near the (87) Sylvia system. MNRAS 486, 2557–2569 (2019). https://doi.org/10.1093/mnras/stz998
Aljbaae, S., Prado, A.F.B.A., Sanchez, D.M., Hussmann, H.: Analysis of the orbital stability close to the binary asteroid (90) Antiope. MNRAS 496(2), 1645–1654 (2020). https://doi.org/10.1093/mnras/staa1634
Allegrini, F., Bagenal, F., Ebert, R., Louarn, P., McComas, D., Szalay, J., Valek, P., Wilson, R., Bolton, S., Connerney, J., et al.: Plasma observations during the june 7, 2021 Ganymede flyby from the Jovian auroral distributions experiment (jade) on juno. Geophys. Res. Lett. 2022–098682 (2022)
Bagenal, F., Dols, V.: The space environment of Io and Europa. J. Geophys. Res. Space Phys. 125(5), 2019–027485 (2020)
Cincotta, P.M., Simó, C.: Simple tools to study global dynamics in non-axisymmetric galactic potentials-i. Astron. Astrophys., Suppl. Ser. 147(2), 205–228 (2000)
Connerney, J., Acuna, M., Ness, N.: Voyager 1 assessment of Jupiter’s planetary magnetic field. J. Geophys. Res. Space Phys. 87(A5), 3623–3627 (1982)
Connerney, J.E., Acuña, M.H., Ness, N.F., Satoh, T.: New models of Jupiter’s magnetic field constrained by the Io flux tube footprint. J. Geophys. Res. Space Phys. 103(A6), 11929–11939 (1998)
Ferreira, T.C.C., Prado, A.F.B.A., Giuliatti Winter, S.M., Ferreira, L.S.: Map** natural orbits around Io. Symmetry 14(7), 1478 (2022a)
Ferreira, L.S., Sfair, R., Prado, A.F.B.A.: Lifetime and dynamics of natural orbits around Titan. Symmetry 14(6), 1243 (2022b)
Gallardo, T.: The occurrence of high-order resonances and Kozai mechanism in the scattered disk. Icarus 181(1), 205–217 (2006)
Gallardo, T., Hugo, G., Pais, P.: Survey of Kozai dynamics beyond Neptune. Icarus 220(2), 392–403 (2012)
Grasset, O., Dougherty, M., Coustenis, A., Bunce, E., Erd, C., Titov, D., Blanc, M., Coates, A., Drossart, P., Fletcher, L., et al.: Jupiter icy moons explorer (juice): An ESA mission to orbit Ganymede and to characterise the jupiter system. Planet. Space Sci. 78, 1–21 (2013)
Greeley, R., Sullivan, R., Klemaszewski, J., Homan, K., Head, J.W., III., Pappalardo, R.T., Veverka, J., Clark, B.E., Johnson, T.V., Klaasen, K.P., et al.: Europa: initial Galileo geological observations. Icarus 135(1), 4–24 (1998)
Hewitt, C.D.: Ensembles-Based Predictions of Climate Changes and their Impacts. Wiley Online Library (2004)
Keszthelyi, L., McEwen, A., Phillips, C., Milazzo, M., Geissler, P., Turtle, E., Radebaugh, J., Williams, D., Simonelli, D., Breneman, H., et al.: Imaging of volcanic activity on Jupiter’s Moon Io by Galileo during the Galileo Europa mission and the Galileo Millennium mission. J. Geophys. Res. Planets 106(E12), 33025–33052 (2001)
Kohlhase, C., Penzo, P.: Voyager mission description. Space Sci. Rev. 21(2), 77–101 (1977)
Kotoulas, T., Morais, M.H.M., Voyatzis, G.: The phase space structure of retrograde mean motion resonances with Neptune: the 4/5, 7/9, 5/8 and 8/13 cases. Celest. Mech. Dyn. Astron. 134(6), 52 (2022)
Kozai, Y.: Secular perturbations of resonant asteroids. Celest. Mech. 36(1), 47–69 (1985)
Lopes, R.M., Spencer, J.R.: Io After Galileo: A New View of Jupiter’s Volcanic Moon. Springer, Cham (2007)
Matson, D.L., Spilker, L.J., Lebreton, J.-P.: The Cassini/Huygens mission to the saturnian system. The Cassini-Huygens Mission, 1–58 (2003)
Matson, D.L., Spilker, L.J., Lebreton, J.-P.: The Cassini/Huygens mission to the saturnian system. Space Sci. Rev. 104(1–4), 1–58 (2002)
Murray, C.D., Dermott, S.F.: Solar System Dynamics. Cambridge University Press, Cambridge (1999)
Ness, N.F., Acuña, M.H., Lep**, R.P., Burlaga, L.F., Behannon, K.W., Neubauer, F.M.: Magnetic field studies at Jupiter by voyager 1: preliminary results. Science 204(4396), 982–987 (1979a)
Ness, N.F., Acuna, M.H., Lep**, R.P., Burlaga, L.F., Behannon, K.W., Neubauer, F.M.: Magnetic field studies at Jupiter by voyager 2: preliminary results. Science 206(4421), 966–972 (1979b)
Podzolko, M., Getselev, I., Gubar’, Y.I., Veselovsky, I.: Radiation conditions of a mission to Jupiter and Europa. Sol. Syst. Res. 43, 116–120 (2009)
Prado, A.F.B.D.A.: Searching for orbits with minimum fuel consumption for station-kee** maneuvers: an application to lunisolar perturbations. Math. Probl. Eng. 2013 (2013)
Prado, A.F.B.D.A.: Third-body perturbation in orbits around natural satellites. J. Guid. Control Dyn. 26(1), 33–40 (2003)
Prado, A.F.B.A.: Searching for orbits with minimum fuel consumption for station-kee** maneuvers: an application to lunisolar perturbations. Math. Probl. Eng. (2013). https://doi.org/10.1155/2013/415015
Price, W., Stanley, A.: Hardening of mjs77 spacecraft against the Jupiter radiation belts. Jet Propulsion Lab., Pasadena, CA, Technical report (1975)
Romanelli, N., DiBraccio, G., Modolo, R., Connerney, J.E., Ebert, R., Martos, Y., Weber, T., Espley, J., Kurth, W., Allegrini, F., et al.: Juno magnetometer observations at Ganymede: comparisons with a global hybrid simulation and indications of magnetopause reconnection. Geophys. Res. Lett. 49(23), 2022–099545 (2022)
Sanchez, D.M., Prado, A.F.B.A.: On the use of mean motion resonances to explore the Haumea system. In: AAS/AIAA Astrodynamics Specialist Conference vol 162, pp. 1507–1524 (2017)
Sanchez, D.M., Prado, A.F.B.A.: Searching for less-disturbed orbital regions around the near-Earth Asteroid 2001 SN263. J. Spacecr. Rocket. 56(6), 1775–1785 (2019). https://doi.org/10.2514/1.A34402
Sanchez, D.M., Deienno, R., Prado, A.F., Howell, K.C.: Perturbation maps and the ring of Haumea. Mon. Not. R. Astron. Soc. 496(2), 2085–2097 (2020)
Schenk, P., Hargitai, H., Wilson, R., McEwen, A., Thomas, P.: The mountains of Io: global and geological perspectives from Voyager and Galileo. J. Geophys. Res. Planets 106(E12), 33201–33222 (2001)
Schubert, G., Anderson, J., Spohn, T., McKinnon, W.: Interior composition, structure and dynamics of the Galilean satellites. Jupit. Planet Satell. Magnetos. 1, 281–306 (2004)
Spencer, J.R., Schneider, N.M.: Io on the eve of the Galileo mission. Ann. Rev. Earth Planet. Sci. 24(1), 125–190 (1996)
Warwick, J.W.: Radiophysics of Jupiter. Space Sci. Rev. 6, 841–891 (1967)
Wienbruch, U., Spohn, T.: A self sustained magnetic field on Io? Planet. Space Sci. 43(9), 1045–1057 (1995)
Yokoyama, T.: Possible effects of secular resonances in phobos and triton. Planet. Space Sci. 50(1), 63–77 (2002)
Acknowledgements
This work was funded by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior—Brasil (CAPES)—Finance Code 001. The authors wish to express their appreciation for the support provided by Grant 309089/2021-2 from the National Council for Scientific and Technological Development (CNPq), Grants 2016/24561-0, 2021/11982-5, 2021/08274-9, and 2022/08716-4 from São Paulo Research Foundation (FAPESP). This publication has been supported by the RUDN University Scientific Projects Grant System, Project No 202235-2-000.
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GC, SA, and AP contributed to the study conception and design. Material preparation and data collection were performed by GC, SA, and AS. The first draft of the manuscript was written by GC, SA and AP. HM, DS, and AS have commented on previous versions of the manuscript hel** with data analysis. All authors read and approved the final manuscript.
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Caritá, G.A., Aljbaae, S., Prado, A.F.B.A. et al. Analysis of the natural orbits around Io. Celest Mech Dyn Astron 135, 46 (2023). https://doi.org/10.1007/s10569-023-10160-5
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DOI: https://doi.org/10.1007/s10569-023-10160-5