Mathematics
Scientific paper
Dec 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985sva....29..681e&link_type=abstract
(Astronomicheskii Zhurnal, vol. 62, Nov.-Dec. 1985, p. 1168-1174) Soviet Astronomy (ISSN 0038-5301), vol. 29, Nov.-Dec. 1985, p.
Mathematics
Artificial Satellites, Functions (Mathematics), Lunar Gravitational Effects, Satellite Orbits, Satellite Perturbation, Solar Gravitation, Astrodynamics, Expansion, Orbit Calculation, Perturbation Theory, Zonal Harmonics
Scientific paper
The problem of improving the analytical theory of motion of artificial earth satellites using an intermediate satellite orbit based on the generalized problem of two fixed centers and allowing for the influence of the second and third zonal harmonics in the expansion of the earth's gravitational potential is considered. An expansion of the perturbation function due to lunar and solar gravitation is derived with allowance for terms proportional to the coefficients to these harmonics. Such an expansion is required to determine perturbations of third order relative to the earth's flattening in the elements of the intermediate satellite orbit. The final equations are reduced to a form convenient for compiling a computer program.
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