Mathematics
Scientific paper
Sep 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985rpspr...6...24s&link_type=abstract
In its USSR Rept.: Space (JPRS-USP-85-005) p 24 (SEE N86-14111 04-88) Transl. into ENGLISH from Kosmich. Issled. (Moscow), v.
Mathematics
Celestial Mechanics, Equations Of Motion, Perturbation, Trajectory Analysis, Transformations (Mathematics), Celestial Bodies, Functions (Mathematics), Orbital Mechanics
Scientific paper
The computation of matrices for transformation of certain parameters of motion to others is discussed. These matrices are needed to evaluate the influence of small perturbations of different kinds, to study relative motion and to determine and correcting motion. The transformation matrices are not found in explicit form, but are determined by using elementary matrix operations. These expressions make it possible to compute transformation matrices for rectangular phase coordinates and 216 different systems of elements formed from the 20 most frequently used orbital osculating elements. An intermediate system of orbital elements is introduced. The simple formulas make it possible to find the values of 47,089 different transformation matrices of the desired form for the two-body problem. These matrices can be computed for orbits of any type other than linear.
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