Radial stability of periodic orbits of damped Keplerian-like systems

Publication date: August 2020Source: Nonlinear Analysis: Real World Applications, Volume 54Author(s): Zaitao Liang, Fangfang LiaoAbstractIn this paper, by using the third order approximation method, the averaging method and the theory of upper and lower solutions, we study the existence and radial stability of periodic orbits of damped Keplerian-like systems. Two different results are obtained: perturbative and global results. Our results are also applicable to the classical Keplerian-like systems.

Source: Nonlinear Analysis: Real World Applications - January 21, 2020 Category: Research Source Type: research