Delaunay normalisations View Full Text


Ontology type: schema:ScholarlyArticle     


Article Info

DATE

1982-01

AUTHORS

André Deprit

ABSTRACT

Too many terms are generated by a Delaunay normalisation when the perturbation is developed in powers of the eccentricity. Ways of bypassing the expansion are discussed. There are: (i) Brouwer's method of implicit variables; (ii) the preparation by canonical transformations; and (iii) the application of representation theory for Lie algebras. Illustrations of the techniques are drawn from the main problem of satellite theory and from the (1–1) resonance at the triangular equilibrium in the restricted problem of three bodies. More... »

PAGES

9-21

References to SciGraph publications

  • 1980-02. Analytical theory of earth's artificial satellites (A.T.E.A.S.) in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1961-01. The geometry of the orbits of artificial satellites in ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
  • 1974-01. Normal forms for real linear Hamiltonian systems with purely imaginary eigenvalues in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1979-02. A note on the application of the von Zeipel method to degenerate Hamiltonians in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1971-09. Automated, closed form integration of formulas in elliptic motion in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
  • 1970-06. The main problem of artificial satellite theory for small and moderate eccentricities in CELESTIAL MECHANICS AND DYNAMICAL ASTRONOMY
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    http://scigraph.springernature.com/pub.10.1007/bf01233178

    DOI

    http://dx.doi.org/10.1007/bf01233178

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