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Lena J-T Strömberg, previously Sigma and Department of Solid Mechanics
Assuming that time is determined by a present frequency, relations are derived based on the angular velocity of a noncircular orbit. Formats relating concepts of noncircular orbits with fix points of the sine circular map, so-called Arnold’s tongues, will be obtained.
Avd, quantum chaos, frequency ratio, spatial ratio, angular velocity, sine circular map, Arnold’s tongues, fix points, noncircular orbits
Cite this paper
Lena J-T Strömberg, Noncircular orbits and organised chaos exemplified with sine circular map and Arnold's tongues., SCIREA Journal of Physics. Vol. 1 , No. 2 , 2016 , pp. 94 - 100 .
|[ 1 ]||Arnold V.I (1978). Mathematical Methods of Classical Mechanics (Graduate Texts in Mathematics, Vol. 60), Springer, 2nd Edition 1989.|
|[ 2 ]||Ohlen G, Åberg S, Östborn P ( 2007). Chaos. Division of Mathematical Physics, LTH, 2007.|
|[ 3 ]||Strömberg L (2014). A model for non-circular orbits derived from a two-step linearisation of the Kepler laws. Journal of Physics and Astronomy Research 1(2): 013-014.|
|[ 4 ]||Strömberg L (2015). Motions for systems and structures in space, described by a set denoted Avd. Theorems for local implosion; Li, dl and angular velocities. Journal of Physics and Astronomy Research, 2(3): 070-073.|
|[ 5 ]||[wik] https://en.wikipedia.org/wiki/Arnold_tongue|