Investigation of the Applicability of the Boer Formula for Estimating the Angular Velocity of Rotation Of a Small Spacecraft by Measuring the Components of The Induction Vector of the Earth's Magnetic Field in Evaluating Micro-Accelerations and Forming Control Laws

IF 1.3 4区工程技术 Q2 ENGINEERING, AEROSPACE Microgravity Science and Technology Pub Date : 2024-11-01 DOI:10.1007/s12217-024-10148-2

Andry Sedelnikov, Roman Skidanov, Anastasia Taneeva, Luisa Manukyan, Maksim Ivanushkin, Marsel Mordanov

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Abstract

The paper presents studies on the correctness of the application of the simplified Boer formula for estimating the components of the angular velocity vector of the spacecraft using the example of the small ISOI spacecraft (SXC3-219). The simplification consists in neglecting the total derivative of the induction vector of the Earth's magnetic field in time compared to the local derivative. This is due to the fact that measurements are carried out quite often. Therefore, the magnetic induction vector in two adjacent dimensions can be considered unchanged. The aim of the work is to estimate the error in determining the angular velocity due to this simplification. The presented results show the admissibility of neglecting the full derivative, provided that the measurement frequency is sufficient. Reference metrological tests were carried out, in which a gyroscopic angular velocity vector meter was selected as the reference measuring instrument. The errors in the estimates of micro-accelerations and the control moment, which are a consequence of the error in determining the angular velocity, are calculated.

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通过测量地球磁场感应矢量的分量估算小型航天器旋转角速度的布尔公式在评估微加速度和形成控制法则中的适用性研究

本文以 ISOI 小型航天器（SXC3-219）为例，介绍了对应用简化布尔公式估算航天器角速度矢量分量的正确性进行的研究。与局部导数相比，这种简化包括忽略地球磁场感应矢量在时间上的总导数。这是由于测量是经常进行的。因此，可以认为相邻两个维度的磁感应矢量是不变的。这项工作的目的是估算由于这种简化而导致的角速度测定误差。结果表明，只要测量频率足够高，忽略全导数是可行的。进行了参考计量测试，其中选择了陀螺仪角速度矢量计作为参考测量仪器。计算了微加速度和控制力矩估计值的误差，这些误差是确定角速度误差的结果。

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来源期刊

Microgravity Science and Technology 工程技术-工程：宇航

CiteScore

3.50

自引率

44.40%

发文量

期刊介绍： Microgravity Science and Technology – An International Journal for Microgravity and Space Exploration Related Research is a is a peer-reviewed scientific journal concerned with all topics, experimental as well as theoretical, related to research carried out under conditions of altered gravity. Microgravity Science and Technology publishes papers dealing with studies performed on and prepared for platforms that provide real microgravity conditions (such as drop towers, parabolic flights, sounding rockets, reentry capsules and orbiting platforms), and on ground-based facilities aiming to simulate microgravity conditions on earth (such as levitrons, clinostats, random positioning machines, bed rest facilities, and micro-scale or neutral buoyancy facilities) or providing artificial gravity conditions (such as centrifuges). Data from preparatory tests, hardware and instrumentation developments, lessons learnt as well as theoretical gravity-related considerations are welcome. Included science disciplines with gravity-related topics are: − materials science − fluid mechanics − process engineering − physics − chemistry − heat and mass transfer − gravitational biology − radiation biology − exobiology and astrobiology − human physiology