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Searching for orbits to observe Iapetus

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Abstract

It is in the interest of astronomy and engineering to find orbits for spacecraft that allow a good observation of the orbited body and, at the same time, to reduce expenses with fuel consumption for correction and maintenance maneuvers. Considering the current scenario, many of the small bodies in the Solar System have been shown to be good candidates for future study missions, such as planetary moons, asteroids, and dwarf planets, beyond the orbit of Neptune. In this sense, the search for methods that aim to locate favorable orbital configurations for the placement of a spacecraft is an important point to be studied. In particular, it is important to search for orbits with high inclinations and circular or quasi-circular, since these orbits allow the observation of the entire body during its natural rotation. However, these orbits are subject to strong perturbations due to the presence of effects, such as those caused by mother planets and the inhomogeneity of the mass and the shape of the satellites. So, the goal of the present paper is to search for orbital configurations for a spacecraft around small satellites. Therefore, in this paper, we study the perturbations given by planet Saturn in a spacecraft orbiting the satellite Iapetus.

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The datasets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

References

  1. A.F.B. Almeida Prado, Third-body perturbation in orbits around natural satellites. J. Guid. Control Dyn. 26(1), 33–40 (2003)

    Article  ADS  Google Scholar 

  2. R.A. Broucke, Long-term third-body effects via double averaging. J. Guid. Control. Dyn. 26(1), 27–32 (2003)

    Article  ADS  Google Scholar 

  3. R. Domingos, R.V. De Moraes, A. Almeida Prado, Third-body perturbation in the case of elliptic orbits for the disturbing body. Math. Probl. Eng. 2008 (2008)

  4. J.S. Carvalho, R.V. De Moraes, A. Prado, Some orbital characteristics of lunar artificial satellites. Celest. Mech. Dyn. Astron. 108(4), 371–388 (2010). https://doi.org/10.1007/s10569-010-9310-6

    Article  MathSciNet  ADS  Google Scholar 

  5. J. Carvalho, A. Elipe, R.V. De Moraes, A. Prado, Low-altitude, near-polar and near-circular orbits around Europa. Adv. Space Res. 49(5), 994–1006 (2012). https://doi.org/10.1016/j.asr.2011.11.036

    Article  ADS  Google Scholar 

  6. J.C. Santos, J.P.S. Carvalho, A.F. Prado, R.V. Moraes, Lifetime maps for orbits around Callisto using a double-averaged model. Astrophys. Space Sci. 362(12), 227 (2017)

    Article  ADS  Google Scholar 

  7. M. Cinelli, Inner third-body perturbations including the inclination and eccentricity of the perturbing body. Mon. Not. R. Astron. Soc. 517(3), 3904–3915 (2022)

    Article  ADS  Google Scholar 

  8. X. Liu, H. Baoyin, X. Ma, Long-term perturbations due to a disturbing body in elliptic inclined orbit. Astrophys. Space Sci. 339(2), 295–304 (2012). https://doi.org/10.1007/s10509-012-1015-8

    Article  ADS  Google Scholar 

  9. Y. Kozai, Motion of a lunar orbiter. Publ. Astron. Soc. Jpn. 15, 301 (1963)

    ADS  Google Scholar 

  10. T.C.C. Ferreira, A.F.B.A. Prado, S.M. Giuliatti Winter, L.S. Ferreira, Mapping natural orbits around io. Symmetry 14(7), 1478 (2022)

    Article  ADS  Google Scholar 

  11. J. Xavier, A.B. Prado, S.G. Winter, A. Amarante, Mapping long-term natural orbits about Titania, a satellite of Uranus. Symmetry 14(4), 667 (2022). https://doi.org/10.3390/sym14040667

    Article  ADS  Google Scholar 

  12. L.S. Ferreira, R. Sfair, A.F.B.A. Prado, Lifetime and dynamics of natural orbits around titan. Symmetry (2022). https://doi.org/10.3390/sym14061243

    Article  Google Scholar 

  13. A. Roy, Orbital Motion, 4th edn. (IOP Publishing Ltd, Bristol, 2005)

    Google Scholar 

  14. C. Murray, S. Dermott, Book review: solar system dynamics. Ir. Astron. J. 27, 234 (2000)

    Google Scholar 

  15. H. Rein, D.S. Spiegel, Ias15: a fast, adaptive, high-order integrator for gravitational dynamics, accurate to machine precision over a billion orbits. Mon. Not. R. Astron. Soc. 446(2), 1424–1437 (2015). https://doi.org/10.1093/mnras/stu2164

    Article  ADS  Google Scholar 

  16. H. Rein, S.-F. Liu, Rebound: an open-source multi-purpose n-body code for collisional dynamics. Astron. Astrophys. 537, 128 (2012). https://doi.org/10.1051/0004-6361/201118085

    Article  ADS  Google Scholar 

Download references

Acknowledgements

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), grant 2016/24561-0 from São Paulo Research Foundation (FAPESP). This publication has been supported by the RUDN University Scientific Projects Grant System, project No 202235-2-000. We also thank the financial support from the Coordination for the Improvement of Higher Education Personnel (CAPES). The authors also wish to express their appreciation for the support provided by the High Performance and Cloud Computing Group at the Zentrum für Datenverarbeitung of the University of Tübingen, the state of Baden-Württemberg through bwHPC, the German Research Foundation (DFG) through grant no INST 37/935-1 FUGG and DFG German Research Foundation Project 446102036.

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Correspondence to Lucas S. Ferreira.

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Ferreira, L.S., Prado, A.F.B.A. & Sfair, R. Searching for orbits to observe Iapetus. Eur. Phys. J. Spec. Top. 232, 2889–2896 (2023). https://doi.org/10.1140/epjs/s11734-023-01025-x

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