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Optimization design of two-layer Walker constellation for LEO navigation augmentation using a dynamic multi-objective

Zhongliang Deng1, Wenxiao Ge1, Lu Yin1

  • 1School of Electronic Engineering, Beijing University of Posts and Telecommunications, Beijing, China.

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Summary
This summary is machine-generated.

A new dynamic evolutionary algorithm improves low Earth orbit navigation augmentation (LEO-NA) constellation design. This optimized LEO-NA system significantly enhances global navigation satellite system (GNSS) performance, reducing position dilution of precision (PDOP) and increasing satellite visibility.

Keywords:
Differential evolution algorithmLEO constellationMulti-objective optimizationNavigation augmentation

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Area of Science:

  • Satellite Systems Engineering
  • Optimization Algorithms
  • Space Navigation

Background:

  • Global Navigation Satellite Systems (GNSSs) are crucial for positioning.
  • Low Earth Orbit Navigation Augmentation (LEO-NA) is emerging as a key enhancement.
  • Traditional optimization methods struggle with complex LEO-NA constellation design.

Purpose of the Study:

  • To develop an advanced optimization algorithm for LEO-NA constellation design.
  • To construct an effective two-layer Walker constellation model for LEO-NA.
  • To evaluate the performance improvement of LEO-NA augmented GNSS.

Main Methods:

  • Proposed a dynamic multi-objective differential evolutionary algorithm with elite guidance (DMODE-EG).
  • Constructed a two-layer Walker constellation model for uniform global coverage.
  • Applied DMODE-EG to optimize LEO-NA constellation parameters for BeiDou-3.

Main Results:

  • The DMODE-EG algorithm achieved optimal LEO-NA constellation parameters.
  • Augmenting BeiDou-3 with the designed LEO-NA constellation reduced average PDOP to 1.2-2.0 (from 1.5-5.5).
  • The number of visible satellites increased from 8-10 to 13-18, outperforming other methods.

Conclusions:

  • The DMODE-EG algorithm offers superior convergence and stability for LEO-NA design.
  • LEO-NA constellations significantly improve GNSS accuracy and satellite visibility.
  • The proposed approach effectively addresses high PDOP values in certain regions.