Tesseral terms derived with computer

Details Tesseral terms derived with computer Tesseral terms derived with computer

Jun 1979

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979acasn..20..105l&link_type=abstract

Acta Astronomica Sinica, vol. 20, June 1979, p. 105-112. In Chinese, with abstract in English.

Mathematics

1

Celestial Mechanics, Computer Programs, Lie Groups, Orbit Perturbation, Series Expansion, Tesseral Harmonics, Algol, Error Analysis, Harmonic Analysis, Position Errors, Satellite Perturbation, Series (Mathematics), Transformations (Mathematics)

Scientific paper

The tesseral perturbation is constructed with a nonconservative Lie transformation, including the coupling effect arising from the tesseral and J2 harmonics. The formulas are derived by computer. The Poisson series are stored in the computer with the help of an one-to-one correspondence between the multidimensional index of a term in the series and the address of the storage cell in which the term's coefficient is stored. Some of these correspondences given in this paper are applicable to some typical series in celestial mechanics.

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