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Analytical satellite theories based on a new set of canonical elementsA new analytical satellite theory is presented. Instead of the 6 classical elements of Delaunay, a set of 8 canonical elements is used. Whereas the time is the independent variable in classical theory, the true anomaly is the independent variable in the new theory. The new approach has four features: (1) The amount of formulas in the solution is reduced considerably. (2) The first order results are almost as accurate as second order results in classical theory. (3) The theory is easier to understand from a didactical point of view. (4) The problems connected with the inaccuracy of the mean motion that are typical for classical satellite theory are no longer present. The new elements are applied to analytical solutions of the zonal oblateness problem and to the problem of the 24 hour satellite.
Document ID
19740055085
Acquisition Source
Legacy CDMS
Document Type
Conference Paper
Authors
Scheifele, G.
Graf, O.
(Analytical and Computational Mathematics Houston, Tex., United States)
Date Acquired
August 7, 2013
Publication Date
August 1, 1974
Subject Category
Space Sciences
Report/Patent Number
AIAA PAPER 74-838
Meeting Information
Meeting: Mechanics and Control of Flight Conference
Location: Anaheim, CA
Start Date: August 5, 1974
End Date: August 9, 1974
Sponsors: American Institute of Aeronautics and Astronautics
Accession Number
74A37835
Distribution Limits
Public
Copyright
Other

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