Families of periodic orbits in Hill’s problem with solar radiation pressure: application to Hayabusa 2

Marco Giancotti, Stefano Campagnola, Yuichi Tsuda, Jun’ichiro Kawaguchi

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)


This work studies periodic solutions applicable, as an extended phase, to the JAXA asteroid rendezvous mission Hayabusa 2 when it is close to target asteroid 1999 JU3. The motion of a spacecraft close to a small asteroid can be approximated with the equations of Hill’s problem modified to account for the strong solar radiation pressure. The identification of families of periodic solutions in such systems is just starting and the field is largely unexplored. We find several periodic orbits using a grid search, then apply numerical continuation and bifurcation theory to a subset of these to explore the changes in the orbit families when the orbital energy is varied. This analysis gives information on their stability and bifurcations. We then compare the various families on the basis of the restrictions and requirements of the specific mission considered, such as the pointing of the solar panels and instruments. We also use information about their resilience against parameter errors and their ground tracks to identify one particularly promising type of solution.

Original languageEnglish
Pages (from-to)269-286
Number of pages18
JournalCelestial Mechanics and Dynamical Astronomy
Issue number3
Publication statusPublished - 2014 Oct 15
Externally publishedYes


  • Hayabusa 2
  • Hill’s Problem
  • Numerical continuation
  • Periodic orbits
  • Solar radiation pressure
  • Stability

ASJC Scopus subject areas

  • Modelling and Simulation
  • Mathematical Physics
  • Astronomy and Astrophysics
  • Space and Planetary Science
  • Computational Mathematics
  • Applied Mathematics


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