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A Protocol for Real-time 3D Single Particle Tracking

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Dynamic imaging model and parameter optimization for a star tracker.

Jinyun Yan, Jie Jiang, Guangjun Zhang

|May 4, 2016

Summary

This summary is machine-generated.

Star trackers face errors from smeared star images during dynamic conditions. This study models smeared star energy distribution, deriving a centroiding error expression and optimal parameters to improve attitude accuracy.

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Area of Science:

Astrodynamics
Optical Engineering
Image Processing

Background:

Dynamic conditions in star trackers cause star spots to smear, leading to position estimation errors and reduced attitude accuracy.
Existing methods struggle to accurately model and correct for star image smearing effects.

Purpose of the Study:

To develop an analytical model for smeared star spot energy distribution.
To derive an expression for centroiding error in smeared star images.
To find optimal parameters for accurate centroid estimation.

Main Methods:

Established an analytical energy distribution model using a line segment spread function.
Derived an analytical expression for centroiding error based on the model.
Obtained analytical solutions for optimal centroid estimation parameters.

Main Results:

A physically meaningful model explicitly reflecting key imaging parameters (flux, exposure time, velocity, Gaussian radius).
An accurate evaluation of centroiding accuracy based on the derived error expression.
Validated optimal parameters through numerical simulations and a night sky experiment.

Conclusions:

The proposed dynamic imaging model accurately represents smeared star spots.
The derived centroiding error expression provides a comprehensive evaluation of accuracy.
Optimal parameters significantly enhance centroid estimation performance for star trackers.