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Relative Motion Analysis using Rotating Axes

Relative Motion Analysis using Rotating Axes

Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
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Related Experiment Video

Updated: Jun 6, 2026

Simulating Imaging of Large Scale Radio Arrays on the Lunar Surface

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Published on: July 30, 2020

Simulation analysis of dynamic working performance for star trackers.

Juan Shen¹, Guangjun Zhang, Xinguo Wei

¹Key Laboratory of Precision Opto-mechatronics Technology, Ministry of Education School of Instrument Scienceand Opto-electronics Engineering, Beijing University of Aeronautics & Astronautics, Beijing 100191, China.

Journal of the Optical Society of America. A, Optics, Image Science, and Vision

|December 2, 2010

Summary

High angular velocity in star trackers causes image trails, leading to inaccurate attitude determination. This study simulates dynamic star tracker performance, identifies key error sources, and models star detection to improve system design and accuracy.

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Area of Science:

Spacecraft Attitude Determination
Optical Navigation
Astrodynamics

Background:

Star trackers are crucial for spacecraft attitude determination.
High angular velocities cause star-spot elongation (image trailing), degrading accuracy.
Existing algorithms struggle with dynamic conditions.

Purpose of the Study:

To develop a computer simulation for dynamic star tracker attitude determination.
To analyze error sources impacting attitude accuracy under dynamic conditions.
To create a mathematical model for predicting star detection rates.

Main Methods:

Developed a dynamic mathematical model for star-spot imaging.
Validated the star centroiding algorithm's efficiency in dynamic scenarios.
Analyzed simulation results to identify and discuss major error sources.
Deduced a mathematical model for average star number detection using simulation and signal processing theory.

Main Results:

Simulations revealed significant attitude errors due to image trailing.
Identified and systematically analyzed key error sources affecting dynamic attitude accuracy.
Developed a model predicting star detection based on image trailing (0-20 pixels).

Conclusions:

The developed simulation accurately models dynamic star tracker behavior.
Understanding error sources and star detection is vital for system design.
The findings aid in evaluating and enhancing star tracker performance in high-velocity scenarios.