Abstract
In the framework of the two-dimensional inverse problem of Dynamics with autonomous forces, we discuss the creation of the family boundary curves (FBC) with the aid of Dainelli’s formulae. We then extend the notion of FBC to the case of rotating systems and we prove that these curves are loci either of points of equilibrium for the corresponding forces or points where the given family of orbits is “exterminated”.
Authors
George Bozis
Department of Theoretical Mechanics, University of ThessalonikiGR-540 06 Thessaloniki, GreeceE-mail: Bozis@ ccf.auth.gr
Mira-Cristiana Anisiu
Tiberiu Institute of Numerical Analysis Romanian Academy, Romania
Keywords
inverse problem – family boundary curves
Paper coordinates
G. Bozis, M.-C. Anisiu, Family boundary curves in rotating systems, Rom. Astron. J. 6 (2) (1996), 43-52
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Journal
Romanian Astronomical Journal
Publisher Name
Publishing House of the Romanian Academy
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