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Families of periodic orbits in the photogravitational three-body problem

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Abstract

All the families of planar symmetric simple-periodic orbits of the photogravitational restricted plane circular three-body problem, are determined numerically in the case when the primaries are of equal mass and radiate with equal radiation factors (q 1=q2=q). We obtain a global view of the possible patterns of periodic three-body motion while the full range of values of the common radiation factor is explored, from the gravitational case (q=1) down to near the critical value at which the triangular equilibria disappear by coalescing with the inner equilibrium pointL 1 on the rotating axis of the primaries. It is found that for large deviations of its value from the gravitational case the radiation factorq can have a strong effect on the structure of the families.

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References

  • Bartlett, J.: 1964,Publ. Copenhague Obs., No. 179.

  • Hénon, M.: 1965a,Ann. Ast. 28, 499.

    Google Scholar 

  • Hénon, M.: 1965b,Ann. Ast. 28, 992.

    Google Scholar 

  • Markellos, V.V., Black, W. and Moran, P.E.: 1974,Celest. Mech. 9, 507.

    Google Scholar 

  • Markellos, V.V., Perdios, E.A. and Papadakis, K.E.: 1993,Astrophys. Space Sci. 199, 139.

    Google Scholar 

  • Markellos, V.V., Perdios, E.A. and Papadakis, K.E.: 1995,From Newton to Chaos, Vol. 336, Plenum Press, New York.

    Google Scholar 

  • Radzievskii, V.V.: 1950,Astron. Zh. 27, 250.

    Google Scholar 

  • Ragos, O. and Zagouras, C.G.: 1991,Celest. Mech. 50, 325.

    Google Scholar 

  • Ragos, O., Zagouras, C.G. and Perdios, E.: 1991,Astrophys. Space Sci. 182, 313.

    Google Scholar 

  • Schuerman, D.W.: 1980,Astrophys. J. 238, 337.

    Google Scholar 

  • Shearing, G.: 1960, Ph.D. Thesis, University of Manchester.

  • Simmons, J.F.L., McDonald, A.J.C. and Brown, J.C.: 1985,Celest. Mech. 35, 145.

    Google Scholar 

  • Strömgren, E.: 1924,Publ. Copenhague Obs., No. 47.

  • Strömgren, E.: 1930,Publ. Copenhague Obs., No. 67.

  • Strömgren, E.: 1935,Publ. Copenhague Obs., No. 100.

  • Zagouras, C.G.: 1991,Celest. Mech. 51, 331.

    Google Scholar 

Download references

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Authors and Affiliations

  1. Department of Engineering Sciences, University of Patras, Greece

    K. E. Papadakis

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  1. K. E. Papadakis
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Papadakis, K.E. Families of periodic orbits in the photogravitational three-body problem. Astrophys Space Sci 245, 1–13 (1996). https://doi.org/10.1007/BF00637799

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  • DOI: https://doi.org/10.1007/BF00637799

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