Picture of two heads

Open Access research that challenges the mind...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. Strathprints provides access to thousands of Open Access research papers by University of Strathclyde researchers, including those from the School of Psychological Sciences & Health - but also papers by researchers based within the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

Analytic estimates and topological properties of the weak stability boundary

Ceccaroni, Marta and Biggs, James and Biasco, Luca (2012) Analytic estimates and topological properties of the weak stability boundary. Celestial Mechanics and Dynamical Astronomy, 114 (1-2). pp. 1-24. ISSN 0923-2958

[img]
Preview
PDF
Biggs_JD_Pure_Analytic_estimates_and_topological_properties_of_the_weak_stability_boundary_2012.pdf - Preprint

Download (518kB) | Preview

Abstract

The weak stability boundary (WSB) is the transition region of the phase space where the change from gravitational escape to ballistic capture occurs. Studies on this complicated region of chaotic motion aim to investigate its unique, fuel saving properties to enlarge the frontiers of low energy transfers. This “fuzzy stability” region is characterized by highly sensitive motion, and any analysis of it has been carried out almost exclusively using numerical methods. On the contrary this paper presents, for the planar circular restricted 3 body problem (PCR3BP), 1) an analytic definition of the WSB which is coherent with the known algorithmic definitions; 2) a precise description of the topology of the WSB; 3) analytic estimates on the “stable region” (nearby the smaller primary) whose boundary is, by definition, the WSB.