Direct Taylor presentation of families of periodic orbits

Details Direct Taylor presentation of families of periodic orbits Direct Taylor presentation of families of periodic orbits

Dec 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974ap%26ss..31..375z&link_type=abstract

Astrophysics and Space Science, vol. 31, Dec. 1974, p. 375-384.

Astronomy and Astrophysics

Astrophysics

Equations Of Motion, Many Body Problem, Numerical Integration, Orbit Calculation, Taylor Series, Algorithms, Partial Differential Equations, Periodic Functions, Steepest Descent Method

Scientific paper

Direct Taylor expansion of the initial states of families of planar symmetric periodic solutions of the restricted problem in terms of the period with numerical examples are given. The computation of the coefficients of the series is based on the integration of the equations of first, second, third, etc. variations. In this work we did not consider the equations of fourth and higher variations.

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