A grid search for three-dimensional motions and three new types of such motions

Details A grid search for three-dimensional motions and three new types of such motions A grid search for three-dimensional motions and three new types of such motions

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975ap%26ss..32...95k&link_type=abstract

Astrophysics and Space Science, vol. 32, Jan. 1975, p. 95-113.

Astronomy and Astrophysics

Astrophysics

7

Celestial Mechanics, Computerized Simulation, Orbit Calculation, Three Dimensional Motion, Astrodynamics, Cdc Computers, Numerical Stability, Predictor-Corrector Methods

Scientific paper

A grid search method aimed at locating 'all' doubly symmetric orbits of the three-dimensional restricted problems of one, two, etc. revolutions is developed and applied numerically on the CDC-3300 computer. Three new types of orbits have thus been located and a second order 'predictor-corrector' method is applied in order to determine a certain number of members of the families of which the 'located' orbits are members. The stability of these members is also discussed.

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