Polar constellations design for discontinuous coverage

Sarno, S.; Graziano, Maria Daniela; D’Errico, Marco

doi:10.1016/j.actaastro.2016.06.001

Cited by 22 publications

(5 citation statements)

References 15 publications

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“…Future studies include proposing judgement theorems for solving coverage problems for a period of time without using the discretization method. Additionally, the accumulated coverage problem as well as the discontinuous coverage problem [24,26] should be addressed.…”

Section: Resultsmentioning

confidence: 99%

“…The solution of the coverage problem depends on the configuration of the constellation and the coverage problem itself. Different constellation configurations, including the star constellation [16], the Walker-Delta constellation [17,18], the rosette constellation [19], and the flower constellation [20], may have some particular configuration characteristics, such as spatial symmetry [21,22], common-track [20], regressive 2 Mathematical Problems in Engineering orbits characteristic [23], and polar orbits [24]. Proper usage of these characteristics can greatly increase computational efficiency.…”

Section: Introductionmentioning

confidence: 99%

“…For navigation and communication applications, the timeliness requirement is critical; however, for some remote sensing applications such as resource exploration, the timeliness requirement is minimal. Thus, the concepts of continuous coverage problems [8,25] and discontinuous coverage problems [24,26] have been proposed by many scholars, and thus, different constellationto-ground coverage problems have different characteristics and different strategies for achieving a solution.…”

Section: Introductionmentioning

confidence: 99%

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Judgement Theorems and an Approach for Solving the Constellation-to-Ground Coverage Problem

Song

Wang

et al. 2018

Mathematical Problems in Engineering

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The satellite constellation-to-ground coverage problem is a basic and important problem in satellite applications. A group of judgement theorems is given, and a novel approach based on these judgement theorems for judging whether a constellation can offer complete single or multiple coverage of a ground region is proposed. From the point view of mathematics, the constellation-to-ground coverage problem can be regarded as a problem entailing the intersection of spherical regions. Four judgement theorems that can translate the coverage problem into a judgement about the state of a group of ground points are proposed, thus allowing the problem to be efficiently solved. Single- and multiple-coverage problems are simulated, and the results show that this approach is correct and effective.

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Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Judgement Theorems and an Approach for Solving the Constellation-to-Ground Coverage Problem

Song

Wang

et al. 2018

Mathematical Problems in Engineering

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“…The theory was later improved by the 2D Lattice [8] and 3D Lattice [9] theories which simplified the formulation and made the configuration independent of any reference frame. Other more recent examples of satellite constellation design include the Ground-track Constellations [10,11] for any kind of constellation configuration, the Helix constellation [2] for very safe formation flying, or polar constellations for discontinuous coverage [12].…”

Section: Introductionmentioning

confidence: 99%

2D Necklace Flower Constellations

2018

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The 2D Necklace Flower Constellation theory is a new design framework based on the 2D Lattice Flower Constellations that allows to expand the possibilities of design while maintaining the number of satellites in the configuration. The methodology presented is a generalization of the 2D Lattice design, where the concept of necklace is introduced in the formulation. This allows to assess the problem of building a constellation in orbit, or the study of the reconfiguration possibilities in a constellation. Moreover, this work includes three counting theorems that allow to know beforehand the number of possible configurations that the theory can provide. This new formulation is especially suited for design and optimization techniques.

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“…This method presents better constellation coverage properties, which are analyzed in terms of the largest coverage circle range between anywhere on the Earth's surface and the nearest subpoint of the satellite. In [23,24] authors introduce specific methods implemented for particular cases of discontinuous coverage analysis. they are still associated with the calculating procedure with a priori selected classes of orbital structures or the particular character of the Earth surface coverage type.…”

Section: Literature Reviewmentioning

confidence: 99%

Analysis of Satellite Constellations for the Continuous Coverage of Ground Regions

Dai¹,

Chen²,

Wang³

et al. 2017

Journal of Spacecraft and Rockets

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This paper studies the problem of analyzing multisatellite constellations with respect to their coverage capacity of areas on Earth's surface. The geometric configuration of constellation projection points on Earth's surface is investigated. A geometric subdivision approach is described, and the coverage target area belonging to each satellite and its maximum circle radius are defined and calculated. Accordingly, the target area can be decomposed into subregions, and thus the multisatellite coverage problem is decomposed into a one-satellite coverage problem. An accurate and effective solution method is proposed that solves both continuous and discontinuous coverage problems for any type of ground area. In addition, a procedure for calculating satellite orbital parameters is also proposed. The performance of our approach is analyzed using the Globalstar system as an example, and it is shown that it compares favorably with the classical grid-point technique and the longitude method.

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Polar constellations design for discontinuous coverage

Cited by 22 publications

References 15 publications

Judgement Theorems and an Approach for Solving the Constellation-to-Ground Coverage Problem

Judgement Theorems and an Approach for Solving the Constellation-to-Ground Coverage Problem

2D Necklace Flower Constellations

Analysis of Satellite Constellations for the Continuous Coverage of Ground Regions

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