A direct method of computing small divisors in planetary theory

Details A direct method of computing small divisors in planetary theory A direct method of computing small divisors in planetary theory

Apr 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982a%26a...108...14d&link_type=abstract

Astronomy and Astrophysics, vol. 108, no. 1, Apr. 1982, p. 14-18.

Mathematics

Complex Variables

Dividers, Euler-Lagrange Equation, Numerical Analysis, Orbit Perturbation, Perturbation Theory, Planetary Orbits, Complex Variables, Computer Programs, Dividing (Mathematics), Fourier Analysis, Mathematical Models

Scientific paper

Three approaches used in treating the problem of small divisors, namely the strict numerical approach, the analytical method, and the direct approach, are described. The direct approach, which is a combination of the other two, is developed here. A special expression of the Lagrange equations in an analytical form is first found. Then the numerical values for the desired small divisor are substituted.

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