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Author(s)
Lena JT Strömberg, previously Sigma and Department of Solid Mechanics
Abstract
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, socalled Arnold’s tongues, will be obtained.
Keywords
Avd, quantum chaos, frequency ratio, spatial ratio, angular velocity, sine circular map, Arnold’s tongues, fix points, noncircular orbits
Cite this paper
Lena JT 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
.
References
[ 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 noncircular orbits derived from a twostep linearisation of the Kepler laws. Journal of Physics and Astronomy Research 1(2): 013014. 
[ 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): 070073. 
[ 5 ]  [wik] https://en.wikipedia.org/wiki/Arnold_tongue 