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Solar Sail Halo Orbits at the Sun–Earth Artificial L 1 Point

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Abstract

Halo orbits for solar sails at artificial Sun–Earth L1 points are investigated by a third order approximate solution. Two families of halo orbits are explored as defined by the sail attitude. Case I: the sail normal is directed along the Sun-sail line. Case II: the sail normal is directed along the Sun–Earth line. In both cases the minimum amplitude of a halo orbit increases as the lightness number of the solar sail increases. The effect of the z-direction amplitude on x- or y-direction amplitude is also investigated and the results show that the effect is relatively small. In case I, the orbit period increases as the sail lightness number increases, while in case II, as the lightness number increases, the orbit period increases first and then decreases after the lightness number exceeds ~0.01.

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References

  • J. V. Breakwell J. V. Brown (1979) ArticleTitle‘The ‘Halo’ family of 3-dimensional periodic orbits in the earth–moon restricted 3-body problem’ Celest. Mech. 20 389–404 Occurrence Handle1979CeMec..20..389B

    ADS  Google Scholar 

  • R. W. Farquhar (1970) The Control and Use of Libration-Point Satellite Goddard Space Flight Center Greenbelt, MD

    Google Scholar 

  • R. W. Farquhar (1971) The Utilization of Halo Orbits in Advanced Lunar Operations Goddard Space Flight Center Greenbelt, MD

    Google Scholar 

  • R. W. Farquhar A. A. Kamel (1973) ArticleTitle‘Quasi-periodic orbits about the thanslunar libration point’ Celest. Mech. 7 458–473 Occurrence Handle1973CeMec...7..458F

    ADS  Google Scholar 

  • R. W. Farquhar D. P. Muhonen D. L. Richardson (1977) ArticleTitle‘Mission design for a halo orbiter of the earth’ J. Spacecraft Rockets 14 IssueID3 170–177 Occurrence Handle1977JSpRo..14..170F

    ADS  Google Scholar 

  • R. W. Farquhar D. P. Muhonen C. R. Newman H. S. Heuberber (1980) ArticleTitle‘Trajectories and orbital maneuvers for the first libration-point satellite’ J. Guidance Control 3 549–554

    Google Scholar 

  • K. C. Howell (1984) ArticleTitle‘Three-dimensional, periodic, ‘halo’ orbit’ Celest. Mech. 32 53–71 Occurrence Handle1984CeMec..32...53H Occurrence Handle0544.70013 Occurrence Handle85c:70006

    ADS  MATH  MathSciNet  Google Scholar 

  • K. C. Howell J. V. Breakwell (1984) ArticleTitle‘Almost rectilinear halo orbit’ Celest. Mech. 32 29–52 Occurrence Handle1984CeMec..32...29H Occurrence Handle85c:70005

    ADS  MathSciNet  Google Scholar 

  • K. C. Howell H. J. Pernicka (1988) ArticleTitle‘Numerical determination of lissajous trajectories in the restricted three-body problem’ Celest. Mech. 41 107–124 Occurrence Handle1988CeMec..41..107H

    ADS  Google Scholar 

  • A. I. S. McInnes (2000) Strategies for Solar Sail Mission Design in the Circular Restricted Three-Body Problem Purdue University West Lafayette

    Google Scholar 

  • C.R. McInnes J. F. L. Simmons (1992a) ArticleTitle‘Solar Sail Halo orbit I: Heliocentric Case’ J. Spacecraft Rockets 29 IssueID4 466–471 Occurrence Handle1992JSpRo..29..466M

    ADS  Google Scholar 

  • C. R. McInnes J. F. L. Simmons (1992b) ArticleTitle‘Solar Sail Halo orbit I: Geocentric Case’ J. Spacecraft Rockets 29 IssueID4 472–479 Occurrence Handle1992JSpRo..29..472M

    ADS  Google Scholar 

  • C. R. McInnes (1993) ArticleTitle‘Solar sail trajectories at the lunar L2 lagrange point’ J. Spacecraft Rockets 30 IssueID6 782–784

    Google Scholar 

  • C. R. McInnes A. J. C. Mcdonald J. F. L. Simmons E. W. MacDonald (1994) ArticleTitle‘Solar sail parking in restricted three-body system’ J. Guidance, Control, Dynamics 17 IssueID2 399–406 Occurrence Handle1994JGCD...17..399M

    ADS  Google Scholar 

  • C. R. McInnes (1999) Solar Sailing: Technology, Dynamics and Mission Applications Springer-Verlag London

    Google Scholar 

  • D. L. Richardson (1980) ArticleTitle‘Analytic construction of periodic orbits about the collinear points’ Celest. Mech. 22 241–253 Occurrence Handle1980CeMec..22..241R Occurrence Handle0465.34028

    ADS  MATH  Google Scholar 

  • V. Szebehely (1967) Theory of Orbits: The Restricted Problem of Three Bodies Academic Press New York

    Google Scholar 

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Correspondence to Hexi Baoyin.

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Baoyin, H., Mcinnes, C.R. Solar Sail Halo Orbits at the Sun–Earth Artificial L 1 Point. Celestial Mech Dyn Astr 94, 155–171 (2006). https://doi.org/10.1007/s10569-005-4626-3

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  • DOI: https://doi.org/10.1007/s10569-005-4626-3

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