Attitude Determination of a Spinning and Tumbling Rocket Using Data from Two Orthogonal Magnetometers

Attitude Determination of a Spinning and Tumbling Rocket Using Data from Two Orthogonal Magnetometers
Author: Shu T. Lai
Publisher:
Total Pages: 42
Release: 1981
Genre: Curve fitting
ISBN:

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This technical note reports on the attitude determination of Air Force Rocket No. A31.603 on which an ion emission experiment was performed. Two orthogonal magnetometers, one facing forward along the rocket spin axis and the other facing sideways, provide magnetic field component data. The bias-offset and scaling (signal conversion) factor are not given, but can be determined in a sinusoidal approximation. The algorithm used for generating magnetic pitch angles is discussed and an error analysis is provided. In a local vertical coordinate system, two sets of elevation angles are found for the tumbling rocket, and the set that satisfies an initial condition exactly is the correct one. The deviation of the rocket tumbling plane from the vertical plane can be determined at the times of closest encounter of the magnetic field vector and rocket vector. The deviation at all times can be approximately determined by sinusoidal curve fitting with tumbling frequency. The angles between the rocket vector and moonlight vector during the instants of moonviews at the onboard camera are also calculated. (Author).

Attitude Determination of a Spinning and Tumbling Rocket Using Data from Two Orthogonal Magnetometers

Attitude Determination of a Spinning and Tumbling Rocket Using Data from Two Orthogonal Magnetometers
Author: Shu T. Lai
Publisher:
Total Pages: 0
Release: 1981
Genre: Curve fitting
ISBN:

Download Attitude Determination of a Spinning and Tumbling Rocket Using Data from Two Orthogonal Magnetometers Book in PDF, Epub and Kindle

This technical note reports on the attitude determination of Air Force Rocket No. A31.603 on which an ion emission experiment was performed. Two orthogonal magnetometers, one facing forward along the rocket spin axis and the other facing sideways, provide magnetic field component data. The bias-offset and scaling (signal conversion) factor are not given, but can be determined in a sinusoidal approximation. The algorithm used for generating magnetic pitch angles is discussed and an error analysis is provided. In a local vertical coordinate system, two sets of elevation angles are found for the tumbling rocket, and the set that satisfies an initial condition exactly is the correct one. The deviation of the rocket tumbling plane from the vertical plane can be determined at the times of closest encounter of the magnetic field vector and rocket vector. The deviation at all times can be approximately determined by sinusoidal curve fitting with tumbling frequency. The angles between the rocket vector and moonlight vector during the instants of moonviews at the onboard camera are also calculated. (Author)

A System for Measuring Vector Magnetic Fields from Sounding Rockets

A System for Measuring Vector Magnetic Fields from Sounding Rockets
Author: P. G. Forsyth
Publisher:
Total Pages: 20
Release: 1966
Genre: Geomagnetism
ISBN:

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Tests of a newly designed operational system show that the earth's vector magnetic field can be measured from a sounding-rocket nose cone by (a) determining the attitude of a rocket nose cone by means of an electromagnetic attitude-sensor using antenna-array signal-strength patterns; (b) making vector magnetic measurements within the rocket nose cone by means of switched bias coils and a cesium vapor magnetometer; (c) encoding and telemetering the resulting information in a format compatible with the existing facilities; and (d) developing computational techniques for reducing the data obtained from the system. (Author).

Spacecraft Attitude Determination and Control

Spacecraft Attitude Determination and Control
Author: J.R. Wertz
Publisher: Springer Science & Business Media
Total Pages: 877
Release: 2012-12-06
Genre: Technology & Engineering
ISBN: 9400999070

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Roger D. Werking Head, Attitude Determination and Control Section National Aeronautics and Space Administration/ Goddard Space Flight Center Extensiye work has been done for many years in the areas of attitude determination, attitude prediction, and attitude control. During this time, it has been difficult to obtain reference material that provided a comprehensive overview of attitude support activities. This lack of reference material has made it difficult for those not intimately involved in attitude functions to become acquainted with the ideas and activities which are essential to understanding the various aspects of spacecraft attitude support. As a result, I felt the need for a document which could be used by a variety of persons to obtain an understanding of the work which has been done in support of spacecraft attitude objectives. It is believed that this book, prepared by the Computer Sciences Corporation under the able direction of Dr. James Wertz, provides this type of reference. This book can serve as a reference for individuals involved in mission planning, attitude determination, and attitude dynamics; an introductory textbook for stu dents and professionals starting in this field; an information source for experimen ters or others involved in spacecraft-related work who need information on spacecraft orientation and how it is determined, but who have neither the time nor the resources to pursue the varied literature on this subject; and a tool for encouraging those who could expand this discipline to do so, because much remains to be done to satisfy future needs.

A Sounding Rocket Attitude Determination Algorithm Suitable for Implementation Using Low Cost Sensors

A Sounding Rocket Attitude Determination Algorithm Suitable for Implementation Using Low Cost Sensors
Author: Mark Christopher Charlton
Publisher:
Total Pages: 335
Release: 2003-12
Genre: Euler angles
ISBN: 9781423513100

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The development of low-cost sensors has generated a corresponding movement to integrate them into many different applications. One such application is determining the rotational attitude of an object. Since many of these low-cost sensors are less accurate than their more expensive counterparts, their noisy measurements must be filtered to obtain optimum results. This work describes the development, testing, and evaluation of four filtering algorithms for the nonlinear sounding rocket attitude determination problem. Sun sensor, magnetometer, and rate sensor measurements are simulated. A quaternion formulation is used to avoid singularity problems associated with Euler angles and other three-parameter approaches. Prior to filtering, Gauss-Newton error minimization is used to reduce the six reference vector components to four quaternion components that minimize a quadratic error function. Two of the algorithms are based on the traditional extended Kalman filter (EKF) and two are based on the recently developed unscented Kalman filter (UKF). One of each incorporates rate measurements, while the others rely on differencing quaternions. All incorporate a simplified process model for state propagation allowing the algorithms to be applied to rockets with different physical characteristics, or even to other platforms. Simulated data are used to develop and test the algorithms, and each successfully estimates the attitude motion of the rocket, to varying degrees of accuracy. The UKF-based filter that incorporates rate sensor measurements demonstrates a clear performance advantage over both EKFs and the UKF without rate measurements. This is due to its superior mean and covariance propagation characteristics and the fact that differencing generates noisier rates than measuring. For one sample case, the "pointing accuracy" of the rocket spin axis is improved by approximately 39 percent over the EKF that uses rate measurements and by 40 percent over the UKF without rates. 7

Fundamentals of Spacecraft Attitude Determination and Control

Fundamentals of Spacecraft Attitude Determination and Control
Author: F. Landis Markley
Publisher: Springer
Total Pages: 486
Release: 2014-05-31
Genre: Technology & Engineering
ISBN: 1493908022

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This book explores topics that are central to the field of spacecraft attitude determination and control. The authors provide rigorous theoretical derivations of significant algorithms accompanied by a generous amount of qualitative discussions of the subject matter. The book documents the development of the important concepts and methods in a manner accessible to practicing engineers, graduate-level engineering students and applied mathematicians. It includes detailed examples from actual mission designs to help ease the transition from theory to practice and also provides prototype algorithms that are readily available on the author’s website. Subject matter includes both theoretical derivations and practical implementation of spacecraft attitude determination and control systems. It provides detailed derivations for attitude kinematics and dynamics and provides detailed description of the most widely used attitude parameterization, the quaternion. This title also provides a thorough treatise of attitude dynamics including Jacobian elliptical functions. It is the first known book to provide detailed derivations and explanations of state attitude determination and gives readers real-world examples from actual working spacecraft missions. The subject matter is chosen to fill the void of existing textbooks and treatises, especially in state and dynamics attitude determination. MATLAB code of all examples will be provided through an external website.