Satellite formation design in orbits of high eccentricity with performance constraints specified over a region of interest: MMS phase II

Roscoe, Christopher W. T.; Vadali, Srinivas R.; Alfriend, Kyle T.; Desai, Uri

doi:10.1016/j.actaastro.2012.07.028

Cited by 20 publications

(8 citation statements)

References 14 publications

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“…Platonic solids are the only five regular polyhedra in 3-dimensional space, of which formations control have many promising applications [27,15,16]. This is because Platonic solids possess the most symmetries among all polyhedra, which leads to that such formations can facilitate the achievement of maximal observational effectiveness [27], for example in NASA's Magnetospheric Multiscale mission [16], the Glassmeier's quality metric [13] is maximal when the four spacecrafts form a regular tetrahedron configuration. Another engineering application of regular tetrahedron formation is the Cluster II mission launched by the ESA [9].…”

Section: Introductionmentioning

confidence: 99%

An intrinsic approach to formation control of regular polyhedra for reduced attitudes

Zhang

et al. 2020

Automatica

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This paper addresses formation control of reduced attitudes in which a continuous control protocol is proposed for achieving and stabilizing all regular polyhedra (also known as Platonic solids) under a unified framework. The protocol contains only relative reduced attitude measurements and does not depend on any particular parametrization as is usually used in the literature. A key feature of the control proposed is that it is intrinsic in the sense that it does not need to incorporate any information of the desired formation. Instead, the achieved formation pattern is totally attributed to the geometric properties of the space and the designed inter-agent connection topology. Using a novel coordinates transformation, asymptotic stability of the desired formations is proven by studying stability of a constrained nonlinear system. In addition, a methodology to investigate stability of such constrained systems is also presented.

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Section: Introductionmentioning

confidence: 99%

An intrinsic approach to formation control of regular polyhedra for reduced attitudes

Zhang

et al. 2020

Automatica

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“…Using formation satellite in space-based missions has many advantages, but at the expense of increased complexity and different challenges like high-precision relative navigation [9], distributed communication [10], stable formation design [11], trajectory optimization and control [12], and attitude synchronization [13]. In formation satellite, trajectory optimization and control problem are two important tasks to achieve a successful launching of satellites set in the space.…”

Section: Introductionmentioning

confidence: 99%

Evolution of Periodic Orbits within the Frame of Formation Satellites

Abouelmagd

Doshi

Pathak

2020

Advances in Astronomy

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In the framework of formation satellites, the periodic orbits of deputy satellite are analyzed when the chief satellite is moving in an elliptical orbit. This analysis is developed on 1- to 10-loop periodic orbits of the deputy satellite. These orbits along with their associated loops are discussed under some specific initial position sets. The effects of different initial velocities, initial true anomalies, and eccentricities on the initial position and orbital period of periodic orbits of deputy satellite are investigated.

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“…As a three-dimensional configuration, tetrahedron formations have attracted a considerable interest in numerous applications and many ongoing projects [5,8,10]. One of the reasons is that a tetrahedron formation consisting of four sensors is the minimum needed to resolve a physical field gradients in space [6], and especially a regular tetrahedron provides the maximal observational effectiveness [21]. In the Magnetospheric Multiscale (MMS) mission launched by NASA [5,10], in order to build a three-dimensional model of the electric and magnetic fields of the Earth's magnetosphere, four satellites need to construct a regular tetrahedron formation near the apogee of a reference orbit.…”

Section: Introductionmentioning

confidence: 99%

Intrinsic tetrahedron formation of reduced attitude

Zhang

Song

et al. 2018

Automatica

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In this paper, formation control for reduced attitude is studied, in which both stationary and rotating regular tetrahedron formation can be achieved and are asymptotically stable under a large family of gain functions in the control. Moreover, by further restriction on the control gain, almost global stability of the stationary formation is obtained. In addition, the control proposed is an intrinsic protocol that only uses relative information and does not need to contain any information of the desired formation beforehand. The constructed formation pattern is totally attributed to the geometric properties of the space and the designed inter-agent connection topology. Besides, a novel coordinates transformation is proposed to represent the relative reduced attitudes in S 2 , which is shown to be an efficient approach to reduced attitude formation problems.

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Satellite formation design in orbits of high eccentricity with performance constraints specified over a region of interest: MMS phase II

Cited by 20 publications

References 14 publications

An intrinsic approach to formation control of regular polyhedra for reduced attitudes

An intrinsic approach to formation control of regular polyhedra for reduced attitudes

Evolution of Periodic Orbits within the Frame of Formation Satellites

Intrinsic tetrahedron formation of reduced attitude

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