The Hill Problem with Oblate Secondary: Numerical Exploration

Details The Hill Problem with Oblate Secondary: Numerical Exploration The Hill Problem with Oblate Secondary: Numerical Exploration

Oct 2005

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2005em%26p...97..127p&link_type=abstract

Earth, Moon, and Planets, Volume 97, Issue 1-2, pp. 127-145

Physics

3

Equilibrium Points, Hill Problem, Oblate Secondary, Periodic Orbits, Stability

Scientific paper

We introduce a three-dimensional version of Hill’s problem with oblate secondary, determine its equilibrium points and their stability and explore numerically its network of families of simple periodic orbits in the plane, paying special attention to the evolution of this network for increasing oblateness of the secondary. We obtain some interesting results that differentiate this from the classical problem. Among these is the eventual disappearance of the basic family g' of the classical Hill problem and the existence of out-of-plane equilibrium points and a family of simple-periodic plane orbits non-symmetric with respect to the x-axis.

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