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)

Instrumentation Papers

Instrumentation Papers
Author:
Publisher:
Total Pages: 344
Release: 1981
Genre: Aeronautical instruments
ISBN:

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Government Reports Annual Index

Government Reports Annual Index
Author:
Publisher:
Total Pages: 1320
Release: 1981
Genre: Government reports announcements & index
ISBN:

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R & D Abstracts

R & D Abstracts
Author: Technology Reports Centre (Great Britain)
Publisher:
Total Pages: 622
Release: 1981
Genre:
ISBN:

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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