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The invariance of the restricted problem of three bodies
Authors:D. J. Jezewski
Affiliation:(1) Lyndon B. Johnson Space Center, NASA, Mail Code FM 6(83-402), 77062 Houston, TX, USA
Abstract:
The restricted problem of three bodies in sidereal coordinates is investigated using Lie theoretical methods of extended groups. The application of the theory results in a single scalar generator with an associated invariant-the integral of the motion attributed to Jacobi.
Keywords:
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