New formulation of de Sitter's theory of motion for Jupiter I-IV. I - Equations of motion and the disturbing functionElliptic orbits are substituted for circular orbits in the first approximation, in an analysis of the common retrograde motion of Jupiter's satellites. A modification of the de Sitter theory, made possible by extended observations of the satellites, is presented with attention to that aspect of the theory which eliminates small divisors at all stages of the solution. The convergence problem is circumvented by use of Poincare's canonical relative coordinates. In addition, modified Delaunay variables and their associated Poincare variables are applied to the disturbing function, which is expanded by means of generalized Newcomb operators.
Document ID
19780060759
Acquisition Source
Legacy CDMS
Document Type
Conference Proceedings
Authors
Aksnes, K.
Date Acquired
August 9, 2013
Publication Date
January 1, 1978
Subject Category
Astronomy
Meeting Information
Meeting: Colloqium on Dynamics of planets and satellites and theories of their motion