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The Existence and Stability of Families of Displacement Two-Body Orbits

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Abstract

The two-body problem is considered with an additional thrust induced acceleration. Stationary solutions are obtained to this problem in a rotating frame of reference which generates families of displaced circular orbits when viewed from an internal frame of reference. The existence and stability of these orbits is considered along with applications such as in-situ observations of Saturn's ring system and spacecraft proximity operations.

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References

  • Austin, R. E., Dod, R. E. and Terwilliger, C. H.: 1977, 'The Ubiquitous Solar Electric Propulsion Stage'. Acta Astron. 4, 671.

    Article  Google Scholar 

  • Dankowicz, H.: 1994, 'Some Special Orbits in the Two-Body Problem with Radiation Pressure'.

  • Celest. Mech. 58(4), 353–370.

  • Landu, L. D. and Lifschitz, E. M.: 1976, Mechanics, Oxford, Pergamon Press, pp. 151–154.

  • McInnes, C. R.: 1991, 'Advanced Trajectories for Solar Sail Spacecraft'. PhD Thesis, Department of Physics and Astronomy, University of Glasgow.

    Google Scholar 

  • McInnes, C. R. and Simmons, J. F. L.: 1992a, 'Solar Sail Halo Orbits I: Heliocentric Case'. J. Spacecraft and Rockets 29(4), 466–471.

    ADS  Google Scholar 

  • McInnes, C. R. and Simmons, J. F. L.: 1992b, 'Solar Sail Halo Orbits II: Geocentric Case'. J. Spacecraft and Rockets 29(4), 472–479.

    Article  ADS  Google Scholar 

  • Nock, K. T.: 1984, 'Rendezvous with Saturn's Rings'. Anneux des Planetes, IAU Colloquium No. 75, Cepadues Editions, Toulouse, 692.

  • Williams, T. and Tanygin, S.: 1996, 'Trajectory Issues Affecting Propulsion System Sizing and Operations of Orbital InspectionVehicles'. AIAA-96-3684-CP, AIAA/AAS Astrodynamics Conference, San Diego, July 1996.

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Mcinnes, C.R. The Existence and Stability of Families of Displacement Two-Body Orbits. Celestial Mechanics and Dynamical Astronomy 67, 167–180 (1997). https://doi.org/10.1023/A:1008280609889

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  • DOI: https://doi.org/10.1023/A:1008280609889

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