Computer Science – Numerical Analysis
Scientific paper
Mar 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978a%26a....64...83m&link_type=abstract
Astronomy and Astrophysics, vol. 64, no. 1-2, Mar. 1978, p. 83-86.
Computer Science
Numerical Analysis
9
Orbital Mechanics, Orbits, Three Body Problem, Dynamic Stability, Numerical Analysis, Three Dimensional Motion, Vertical Motion
Scientific paper
A mechanism of connection through the z-coordinate between families of periodic orbits is proposed for the three-dimensional circular restricted three-body problem. The periodic orbits having the property of reachability have the special property of being vertical critical orbits, while the periodic orbits that connect the reachable orbits are three-dimensional. A numerical example of such a connection through the z-coordinate is presented in which it is shown that the three-dimensional family which starts from the vertical critical orbit c1v of the family c of the Copenhagen problem passes through the vertical critical orbit m2v of the plane family m; i.e., the orbit m2v is reachable from c1v. Initial conditions are given for some orbits of the three-dimensional family.
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