Statistics – Computation
Scientific paper
Feb 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980cemec..21..163s&link_type=abstract
(Conference on Mathematical Methods in Celestial Mechanics, 6th, Oberwolfach, West Germany, Aug. 14-19, 1978.) Celestial Mechani
Statistics
Computation
3
Computerized Simulation, Equations Of Motion, Moon, Orbit Perturbation, Planetary Orbits, Celestial Mechanics, Computer Programs, Fourier Series, Pl/1, Three Body Problem, Moon, Equations Of Motion, Procedure, Computer Techniques, Analysis, Mathematical Models, Three Body Problem, Perturbations, Parameters, Orbits, Comparisons, Eccentricity, Angular Momentum, Distance, Mass
Scientific paper
The method by which Hill and Brown solved the equations of motion of the moon utilizing multiple Fourier series are described, and a way of adapting this method to a computer using an algebraic processor called POLYPAK is shown. That is, computer programs written in PL/I are called as subroutines by POLYPAK, which is a package for the manipulation of real or complex power series in several variables. Brown's computations for the main problem of lunar theory (a simplified 3-body problem) are redone before proceeding to the planetary perturbations. Also described is the way of computing the second and higher order terms of the main problem.
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