Elliptic Hill's problem - The continuation of periodic orbits

Details Elliptic Hill's problem - The continuation of periodic orbits Elliptic Hill's problem - The continuation of periodic orbits

Dec 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980a%26a....92..139i&link_type=abstract

Astronomy and Astrophysics, vol. 92, no. 1-2, Dec. 1980, p. 139-141.

Astronomy and Astrophysics

Astrophysics

6

Celestial Mechanics, Elliptical Orbits, Hill Method, Orbit Calculation, Orbital Mechanics, Equations Of Motion, Periodic Variations

Scientific paper

The existence of families of periodic orbits in the case of Hill's
problem (mu = 0), when the body P(1) describes elliptic orbits around
the massive body P(2), is proved. The periodic orbits of P(3) can be
continued from the orbits of the circular Hill problem with period equal
to 2k-pi with respect to the eccentricity of the orbit of P(1).

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