Abstract
In the light of the inverse problem of dynamics, we establish families of straight lines, possibly traced by a material point in a uniformly roating plane \(Oxy\) in the presence of a “potential function” \(TCIMACRO{\U{3a9} }BeginExpansion \Omega EndExpansion=TCIMACRO{\U{3a9} } BeginExpansion\Omega EndExpansion (x,y)\). It is shown that not any \(TCIMACRO{\U{3a9} } BeginExpansion \Omega EndExpansion\) allows for the creation of such families, but only those which satisfy a certain differential condition. For some particular cases (parallel and concurrent straight lines) classes of solutions for \(TCIMACRO{\U{3a9} }BeginExpansion \Omega EndExpansion\)are found analytically. For each compatible pair of potential and family, the Jacobian constant is calculated.
Authors
George Bozis
Department of Physics, University of Thessalonikim GR-54006, Greece
Mira-Cristiana Anisiu
Tiberiu Popoviciu Institute of Numerical Analysis Romanian Academy, Romania
Keywords
Inverse Problem; Rotating Frames
Paper coordinates
G. Bozis, M.-C. Anisiu, Families of straight lines in rotating frames, Rom. Astron. J. 11 (2) (2001), 145-154
About this paper
Journal
Romanian Astronomical Journal
Publisher Name
Romanian Academy
DOI
Print ISSN
1220-5168
Online ISSN
2285-3758.
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