Astronomy and Astrophysics – Astronomy
Scientific paper
Dec 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984azh....61.1211t&link_type=abstract
(Astronomicheskii Zhurnal, vol. 61, Nov.-Dec. 1984, p. 1211-1217) Soviet Astronomy (ISSN 0038-5301), vol. 28, Nov.-Dec. 1984, p.
Astronomy and Astrophysics
Astronomy
Celestial Mechanics, Circular Orbits, Libration, Power Series, Three Body Problem, Trigonometric Functions, Collinearity, Convergence, Earth-Moon System, Integral Equations, Jacobi Integral, Polynomials, Series Expansion
Scientific paper
The properties of the trigonometric polynomials which serve as the coefficients of power series constructed by Timoshkova (1979 and 1980) to represent the first integrals of the plane circular restricted three-body problem of celestial mechanics are investigated analytically. The convergence of the power series is discussed, and it is demonstrated in numerical computations for the earth-moon system that the Jacobi constant C for collinear libration points can be determined from the formally constructed integrals.
Timoshkova E. I.
Titov V. B.
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