Abstract
It is shown in this paper how to build a canonical transformation of variables, so that the eccentric anomaly becomes the new independent variable. In the case of eccentric elliptical orbits it changes the equations of motion so, that they can be integrated analytically to any order of approximation comparatively easy.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
Britals, J.: 1990. Acta Univ. Latviensis 556. Latvian Univ., Riga. p. 5.
Brouwer, D. and Clemence, G.: 1961. Methods of Celestial Mechanics. Academic Press. New York, London.
Deprit, A.: 1969. ‘Canonical Transformations Depending on a Small Parameter’. Celest. Mech. 1. 12.
Everhart, E.: 1985, in A. Carusi and G.B. Valsecchi (eds.), Dynamics of Comets: Their Origin and Evolution. Kluwer Acad. Publ.. Dordrecht, p. 185.
Hansen, P.A.: 1857–1861, ‘Auseinandersetzung einer zweckmässigen Methode der absoluten Störungen der kleinen Planeten’, Abh. I–III, Abh. d. K. S. Ges. d. Wiss. III–IV, Leipzig
Pars, L.A.: 1965. A Treatise on Analytical Dynamics. Wiley, New York.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Britals, J. Canonical theory of perturbations using eccentric anomaly as independent variable. Celestial Mech Dyn Astr 54, 305–316 (1992). https://doi.org/10.1007/BF00049144
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00049144