Picture of wind turbine against blue sky

Open Access research with a real impact...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

The Energy Systems Research Unit (ESRU) within Strathclyde's Department of Mechanical and Aerospace Engineering is producing Open Access research that can help society deploy and optimise renewable energy systems, such as wind turbine technology.

Explore wind turbine research in Strathprints

Explore all of Strathclyde's Open Access research content

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 - Draft Version

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.