A copy of this work was available on the public web and has been preserved in the Wayback Machine. The capture dates from 2019; you can also visit the original URL.
The file type is application/pdf
.
Global Regularization of a Restricted Four-Body Problem
2014
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
In the n-body problem, a collision singularity occurs when the position of two or more bodies coincide. By understanding the dynamics of collision motion in the regularized setting, a better understanding of the dynamics of near-collision motion is achieved. In this paper, we show that any double collision of the planar equilateral restricted four-body problem can be regularized by using a Birkhoff-type transformation. This transformation has the important property to provide a simultaneous
doi:10.1142/s0218127414500928
fatcat:g5nwz6fzhvhzfnshjqx7rx7oi4