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mae 342 lecture 12

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Spacecraft Attitude Dynamics Space System Design, MAE 342, Princeton University Robert Stengel • Reference frames • Euler Angles Rotation matrix • Angular rate dynamics • Spinning and non- spinning satellites  – Dual spin  – Nutation damping • Gravity gradient satellites Copyright 2008 by R obert Stengel. All rights reserved. For education al use only. http://www.princeton.edu/~stengel/MAE342.html Broad Categories of Satellite Configuration Spinning satellites Angular attitude maintained by gyroscopic moment and magnetic coil Axisymmetric distribution of mass, solar cells, and instruments Dual-spin satellites Angular attitude maintained by gyroscopic moment and thrusters Axisymmetric distribution of mass and solar cells Instruments and antennas may or may not spin Randomly oriented satellites Angular attitude is free to vary Attitude-controlled satellites Angular attitude maintained by 3-axis control system Non-symmetric distribution of mass, solar cells a nd instruments TIROS-7 ESSA-2 TIROS “Cartwheel” NOAA-17 OSCAR-1 INTELSAT-IVA Inertial and Body Axes • Newton!s laws expressed in an inertial frame of reference • May be more convenient to describe motions in a body frame Position and Velocity • Position of a particle  v = d r dt =r =  x  y  z " # $ $ $ % & ' ' ' = v  x v  y v  z " # $ $ $ % & ' ' ' Velocity of a particle  r =  x  y  z " # $ $ $ % & ' ' ' 

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