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Quick Coverage Analysis Method for Mega Constellation Based on High-Order Expansion

delete2025-09-01
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PRE
AI
J
Jikai Wang
J
Jun Zhu
Z
Zhao, Wenchi
J
Jun Jiang
X
Xue Bai *
M
Ming Xu
DOI:10.2514/1.G008954delete
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Abstract

Abstract

En 中文
This paper presents a coverage analysis method with high precision and efficiency for mega constellations. The proposed method is based on using differential algebraic techniques to construct the high-order Taylor expansions of complex functions. Initially, a clustering strategy for the mega Walker constellation is introduced. The orbits of all satellites within the constellation are analytically represented using high-order orbital expansion models derived from a selected number of nominal satellites. Subsequently, utilizing these high-order orbital expansion models, the high-order expansion of the visibility function corresponding to the nominal target is constructed, which can provide an analytical approximation of the visibility function between any satellites and targets within the cluster. The calculation of rise and set times is simplified to polynomial operations. Simulation results demonstrate that the proposed method achieves high prediction accuracy across various payload types. Furthermore, the computational efficiency is significantly enhanced for large-scale coverage analysis missions that involve mega constellations.
Keywords:
Constellations
Satellite Constellations
Newton Raphson Method
Earth Centered Inertial
Planets
Algorithms and Data Structures
Orbital Inclination
Celestial Coordinate System
Orbital State Vectors
Orbital Elements

Journal

J
Journal of Guidance Control and Dynamics
IF:
2.8
Papers:
159
Citations:
1.3W

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