Skip to main content
Log in

From rotations and inclinations to zero configurational velocity surfaces I. A natural rotating coordinate system

  • Published:
Celestial mechanics Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

References

  • Arnold, V. I.: 1978,Mathematical Methods of Classical Mechanics Springer-Verlag, New York.

    Google Scholar 

  • Cabral, H. E.: 1983, ‘Researches on the Three-Body Problem’, Preprint, Dept. of Math., Univ. Fed. Pernambuco, Recife, Brazil.

    Google Scholar 

  • Hulkower, N. D.: 1978, ‘The Zero Energy Three Body Problem’,Indiana Univ. Math. J. 27, 409.

    Google Scholar 

  • Marchal, C. and Saari, D. G.: 1975, ‘Hill Regions for the General Three-Body Problem’,Celest. Mech. 12, 115.

    Google Scholar 

  • Pollard, H.: 1967, ‘Gravitational Systems’,J. Math. Mech. 17, 601.

    Google Scholar 

  • Robinson, C. and Saari, D. G.: 1983, ‘N-Body Spatial Parabolic Orbits Asymptotic to Collinear Central Configurations’,J. Diff. Eq. 48 434.

    Google Scholar 

  • Saari, D. G.: 1974, ‘On Restriction of Motion for the Three Body Problem’,SIAM, J. Appl. Math. 26 806.

    Google Scholar 

  • Saari, D. G.: 1976, ‘The n-Body Problem of Celestial Mechanics’,Celest. Mech. 14, 11.

    Google Scholar 

  • Saari, D. G.: 1983, ‘An Equality which Yields Zero Velocity Surfaces’, in S. Ferraz-Mello and P. E. Nacozy (eds.),The Motion of Planets and Artificial Satellites, Proceedings of a Conference, Sao Paulo, December 1981, Mathematical and Dynamical Astronomy Series, Universidade de Sao Paulo, Brazil, pp. 27–39.

    Google Scholar 

  • Saari, D. G.: 1984, ‘The Manifold Structure for Collision, and for Hyperbolic-Parabolic Orbits in the n-Body Problem’, to appear inJ. Diff. Eq.

  • Saari, D. G. and Hulkower, N.: 1981, ‘On the Manifolds of Total Collapse Orbits and of Completely Parabolic Orbits for the n-Body Problem’,J. Diff. Eq. 41, 27.

    Google Scholar 

  • Siegel, C. L. and Moser, J.: 1971,Lectures on Celestial Mechanics Springer-Verlag, New York.

    Google Scholar 

  • Wintner, A.: 1941,The Analytic Foundations of Celestial Mechanics, Princeton Univ. Press.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Saari, D.G. From rotations and inclinations to zero configurational velocity surfaces I. A natural rotating coordinate system. Celestial Mechanics 33, 299–318 (1984). https://doi.org/10.1007/BF01241046

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01241046

Keywords

Navigation