Abstract

In the present work, a method for magnetometer calibration through least squares fitting is presented. This method has been applied over the magnetometer’s data set obtained during the integration tests of the Attitude Determination and Control Subsystem (ADCS) of UPMSat-2. The UPMSat-2 mission is a 50-kg satellite designed and manufactured by the Technical University of Madrid (Universidad Politécnica de Madrid), and finally launched in September 2020. The satellite has three fluxgate magnetometers (one of them experimental) whose calibration is critical to obtain correct measurements to be used by the ADCS. Among several mathematical methods suitable to obtain the calibration parameters, an ordinary least squares fitting algorithm is selected as a first step of the calibration process. The surface estimated is an ellipsoid, surface represented by the magnetometer’s measures of the Earth magnetic field in a point of the space. The calibration elements of the magnetometers are related to the coefficients of the estimated ellipsoid.

Highlights

  • The UPMSat-21 is a 50 kg microsatellite designed, developed, tested and integrated at the IDR/UPM Institute of Universidad Politécnica de Madrid, for educational and technology demonstration purposes

  • The satellite has three fluxgate magnetometers whose calibration is critical to obtain correct measurements to be used by the ADCS

  • Among several mathematical methods suitable to obtain the calibration parameters, an ordinary least squares fitting algorithm is selected as a first step of the calibration process

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Summary

Introduction

A purely magnetic Attitude Determination and Control Subsystem (ADCS) is used by the UPMSat, as it is both simple and reliable The design of this subsystem includes three ZARM (ZARM Technik AG) magnetorquers, and two SSBV (SSBV Space & Ground Systems) fluxgate magnetometers. Aim of the present work In the present work a linear least square fitting algorithm is evaluated as the method to estimate the ellipsoid surface that the magnetometer data describe, in order to calibrate the sensor. This action is part of the ADCS sensors integration and testing campaign.

The Earth Magnetic Field Model
The Fluxgate Magnetometers
Ordinary Linearized Least Squares Method
UPMSat-2 Magnetometer’s Calibration
Findings
Conclusions
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