Volume 1, Number 2 (2016)
Year Launched: 2016
Journal Menu
Archive
Previous Issues
Why Us
-  Open Access
-  Peer-reviewed
-  Rapid publication
-  Lifetime hosting
-  Free indexing service
-  Free promotion service
-  More citations
-  Search engine friendly
Contact Us
Email:   service@scirea.org
Home > Journals > SCIREA Journal of Physics > Archive > Paper Information

Noncircular orbits and organised chaos exemplified with sine circular map and Arnold's tongues.

Volume 1, Issue 2, December 2016    |    PP. 94-100    |PDF (398 K)|    Pub. Date: December 21, 2016
240 Downloads     1323 Views  

Author(s)
Lena J-T 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, so-called 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 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 .

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 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

Submit A Manuscript
Review Manuscripts
Join As An Editorial Member
Most Views
Article
by Sergey M. Afonin
2923 Downloads 26339 Views
Article
by Syed Adil Hussain, Taha Hasan Associate Professor
2283 Downloads 16976 Views
Article
by Omprakash Sikhwal, Yashwant Vyas
2355 Downloads 14531 Views
Article
by Munmun Nath, Bijan Nath, Santanu Roy
2249 Downloads 14384 Views
Upcoming Conferences