Autonomous control of a reconfigurable constellation of satellites on geostationary orbit with artificial potential fields

This paper presents a method of controlling a constellation of small satellites in Geostationary Earth Orbit (GEO) such that the constellation is able to reconfigure - changing the angular position of its members relative to the Earth’s surface in order to cluster them above particular target longitudes. This is enabled through the use of an artificial potential function whose minimum value corresponds to a state where the phase angle between each satellite and its intended target is minimised. By linking the tangential low-thrust acceleration of each satellite to this artificial potential function, the altitude of each satellite relative to the nominal GEO altitude is manipulated in order to achieve the required drift rate. A demonstration of the efficacy of the method is given through a simple test case in which a constellation of 90 satellites converge upon 3 equatorial targets, with each target requiring the attention of a varying number of spacecraft from the constellation. The constellation performance is analysed in terms of the time taken for the satellites to converge over their targeted longitudes and the Dv required to actuate the phasing maneuvers. This analysis is performed across a parameter space by varying the number of satellites in the constellation, the number of targeted longitudes, and a parameter representing the maximum acceleration of the thruster

Self-organising satellite constellation in geostationary Earth orbit

This paper presents a novel solution to the problem of autonomous task allocation for a self-organizing satellite constellation in Earth orbit. The method allows satellites to cluster themselves above targets on the Earth’s surface. This is achieved using Coupled Selection Equations (CSE) - a dynamical systems approach to combinatorial optimization whose solution tends asymptotically towards a Boolean matrix describing the pairings of satellites and targets which solves the relevant assignment problems. Satellite manoeuvers are actuated by an Artificial Potential Field method which incorporates the CSE output. Three demonstrations of the method’s efficacy are given - first with equal numbers of satellites and targets, then with a satellite surplus, including agent failures, and finally with a fractionated constellation. Finally, a large constellation of 100 satellites is simulated to demonstrate the utility of the method in future swarm mission scenarios. The method provides efficient solutions with quick convergence, is robust to satellite failures, and hence appears suitable for distributed, on-board autonomy

Autonomous satellite constellation for enhanced Earth coverage using coupled selection equations

This paper presents a novel solution to the problem of autonomous task allocation for a self-organising constellation of small satellites in Earth orbit. The method allows the constellation members to plan manoeuvres to cluster themselves above particular target longitudes on the Earth’s surface. This is enabled through the use of Coupled Selection Equations, which represent a dynamical systems approach to combinatorial optimisation problems, and whose solution tends towards a Boolean matrix which describes pairings of the satellites and targets which solves the relevant assignment problems. Satellite manoeuvres are actuated using a simple control law which incorporates the results of the Coupled Selection Equations. Three demonstrations of the efficacy of the method are given in order of increasing complexity - first with an equal number of satellites and targets, then with a surplus of satellites, including agent failure events, and finally with a constellation of two different satellite types. The method is shown to provide efficient solutions, whilst being computationally non-intensive, quick to converge and robust to satellite failures. Proposals to extend the method for on-board processing on a distributed architecture are discussed

Self-organising low Earth orbit constellations for Earth observation

This paper presents a novel method of manipulating the spatial pattern of a fractionated micro-satellite constellation in Low Earth Orbit. The method developed allows satellites to manipulate the longitudinal position of their ground-tracks over the Earth’s surface, such that they pass over specified targets. This is achieved firstly by pairing satellites on the constellation to the targets on the Earth’s surface, and then by developing an artificial potential field controller to define the thrust commands which move the satellites into the appropriate orbital slots to converge upon their targets. The latter is achieved using Coupled Selection Equations - a dynamical systems approach to combinatorial optimisation