Astrophysics and Space Science

, Volume 138, Issue 1, pp 61–69 | Cite as

The Roche coordinates in non-synchronous binaries

  • P. Hadrava


The Cayley-Darboux problem for the Roche model of binaries is reinvestigated. Generalised Roche coordinates are then defined and calculated in the form of power series of potential for the general case of non-synchronous binaries with eccentric orbits.


Power Series Eccentric Orbit Roche Model 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. Cayley, M. A.: 1872,Compt. Rend. Acad. Sci. Paris 75, 324, 381.Google Scholar
  2. Darboux, J. G.: 1898,Leçons sur les systèmes orthogonaux et les coordonnées curvilignes, Paris.Google Scholar
  3. Hadrava, P.: 1981, in I. Hubený and B. Onderlička (eds.),Publ. Astron. Inst. Czechosl. Acad. Sci. 57, 7.Google Scholar
  4. Kagan, V. F.: 1948,Osnovy teorii poverkhnostei v tenzornom izlozhenii, Leningrad.Google Scholar
  5. Kitamura, M.: 1970,Astrophys. Space Sci. 7, 272.Google Scholar
  6. Kopal, Z.: 1970,Astrophys. Space Sci. 7, 149.Google Scholar
  7. Kopal, Z.: 1972,Adv. Astron. Astrophys. 9, 1.Google Scholar
  8. Kopal, Z. and Ali, A. K. M. S.: 1971,Astrophys. Space Sci. 11, 423.Google Scholar
  9. Limber, D. N.: 1963,Astrophys. J. 138, 1112.Google Scholar
  10. Wilson, R. E.: 1979,Astrophys. J. 234, 1054.Google Scholar

Copyright information

© D. Reidel Publishing Company 1987

Authors and Affiliations

  • P. Hadrava
    • 1
  1. 1.Astronomical Institute of the Czechoslovak Academy of SciencesOndřejovCzechoslovakia

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