Picture of a black hole

Strathclyde Open Access research that creates ripples...

The Strathprints institutional repository is a digital archive of University of Strathclyde's Open Access research outputs. Strathprints provides access to thousands of research papers by University of Strathclyde researchers, including by Strathclyde physicists involved in observing gravitational waves and black hole mergers as part of the Laser Interferometer Gravitational-Wave Observatory (LIGO) - but also other internationally significant research from the Department of Physics. Discover why Strathclyde's physics research is making ripples...

Strathprints also exposes world leading research from the Faculties of Science, Engineering, Humanities & Social Sciences, and from the Strathclyde Business School.

Discover more...

Stabilisation of the hyperbolic equilibrium of high area-to-mass spacecraft

Colombo, Camilla and Xu, Ming and McInnes, Colin (2012) Stabilisation of the hyperbolic equilibrium of high area-to-mass spacecraft. In: 63rd International Astronautical Congress, 2012-10-01 - 2012-10-05.

[img] PDF
Colombo_C_et_al_Pure_Stabilisation_of_the_hyperbolic_equilibrium_of_high_area_to_mass_spacecraft_Oct_2012.pdf - Preprint

Download (986kB)

Abstract

In this paper we propose the exploitation of anti-heliotropic orbits, corresponding to the hyperbolic solution of the J2 and solar radiation pressure dynamical system, as gateway orbits between the low-eccentricity orbits where atmospheric drag does not affect the motion and the high eccentricity orbits which enter in drag regime. The eccentricity can be maintained in the neighborhood of the unstable point by means of a controller preserving the Hamiltonian structure of the system. In this way, any initial eccentricity close to the equilibrium conditions will lead to a bound trajectory around the controlled elliptic equilibrium. By selecting the time the controller is turned off, one of the two unstable manifolds leaving the equilibrium point can be followed, leading the orbit to become circular of to increase its eccentricity until natural decay occurs.