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Dynamics of Artificial Satellites around Europa

Author

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  • Jean Paulo dos Santos Carvalho
  • Rodolpho Vilhena de Moraes
  • Antônio Fernando Bertachini de Almeida Prado

Abstract

A planetary satellite of interest at the present moment for the scientific community is Europa, one of the four largest moons of Jupiter. There are some missions planned to visit Europa in the next years, for example, Jupiter Europa Orbiter (JEO, NASA) and Jupiter Icy Moon Explorer (JUICE, ESA). In this paper, we search for orbits around Europa with long lifetimes. Here, we develop the disturbing potential in closed form up to the second order to analyze the effects caused on the orbital elements of an artificial satellite around Europa. The equations of motion are developed in closed form to avoid expansions in power series of the eccentricity and inclination. We found polar orbits with long lifetimes. This type of orbits reduces considerably the maintenance cost of the orbit. We show a formula to calculate the critical inclination of orbits around Europa taking into account the disturbing potential due to the nonspherical shape of the central body and the perturbation of the third body.

Suggested Citation

  • Jean Paulo dos Santos Carvalho & Rodolpho Vilhena de Moraes & Antônio Fernando Bertachini de Almeida Prado, 2013. "Dynamics of Artificial Satellites around Europa," Mathematical Problems in Engineering, Hindawi, vol. 2013, pages 1-7, February.
  • Handle: RePEc:hin:jnlmpe:182079
    DOI: 10.1155/2013/182079
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