Computer Science – Numerical Analysis
Scientific paper
May 1975
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975cemec..11..281b&link_type=abstract
Celestial Mechanics, vol. 11, May 1975, p. 281-300. In French.
Computer Science
Numerical Analysis
3
Earth Gravitation, Euler-Lagrange Equation, Geopotential, Gravitational Effects, Numerical Analysis, Orbit Calculation, Satellite Orbits, Computer Programs, Earth Orbits, Harmonic Analysis, Numerical Integration, Taylor Series
Scientific paper
A synthesis of various works concerning the analytic theory of the motion of artificial satellites is presented, with emphasis on its mathematical development. The theory is shown to have an accuracy of about 20 cm in all but the most critical cases, which permits studying the amplitudes, periods, and phases of all terms according to their Lagrangian families (secular, long-period, short-period, etc.). A great rapidity of calculation is also achieved by the method. First-, second-, and third-order solutions to the problem are considered.
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