Abstract
For the problem on oscillation about mass centre of a satellite moving in the elliptical orbit in the central force field, the scaling functions have been built, which describe the satellite phase trajectory evolution at transition to chaos. Four period-doubling bifurcation sequences are considered, generated both from the stable and unstable steady states. The scaling universal constants for conservative systems are obtained, the multiplicator universal value for the satellite periodical unstable motion around its centroid at an accumulation point on the threshold of chaos is determined as well.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
