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Space Technology Library George Sebestyen Steve Fujikawa Nicholas Galassi Alex Chuchra Low Earth Orbit Satellite Design Low Earth Orbit Satellite Design SPACE TECHNOLOGY LIBRARY Published jointly by Microcosm Press and Springer The Space Technology Library Editorial Board Managing Editor: James R. Wertz (Microcosm, Inc., El Segundo, CA) Editorial Board: Roland Doré (Professor and Director International Space University, Strasbourg) Tom Logsdon (Senior member of Technical Staff, Space Division, Rockwell International) F. Landis Markley (NASA, Goddard Space Flight Center) Robert G. Melton (Professor of Aerospace Engineering, Pennsylvania State University) Keiken Ninomiya (Professor, Institute of Space & Astronautical Science) Jehangir J. Pocha (Letchworth, Herts.) Rex W. Ridenoure (CEO and Co-founder at Ecliptic Enterprises Corporation) Gael Squibb (Jet Propulsion Laboratory, California Institute of Technology) Martin Sweeting (Professor of Satellite Engineering, University of Surrey) David A. Vallado (Senior Research Astrodynamicist, CSSI/AGI) Richard Van Allen (Vice President and Director, Space Systems Division, Microcosm, Inc.) More information about this series at http://www.springer.com/series/6575 George Sebestyen • Steve Fujikawa Nicholas Galassi • Alex Chuchra Low Earth Orbit Satellite Design George Sebestyen Steve Fujikawa McLean, VA, USA Crofton, MD, USA Nicholas Galassi Alex Chuchra Bethesda, MD, USA Arnold, MD, USA Space Technology Library ISBN 978-3-319-68314-0 ISBN 978-3-319-68315-7 (eBook) https://doi.org/10.1007/978-3-319-68315-7 Library of Congress Control Number: 2017955031 © Springer International Publishing AG 2018 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. The publisher, the authors and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland Preface Space Mission Analysis and Design, published in 1991, was the first book that com- prehensively treated space and spacecraft system design. It is still the most compre- hensive book on that subject. While later editions do cover some spacecraft hardware design issues, the book’s main emphasis is on the analysis and design of space mis- sions, rather than the design of spacecraft hardware itself. Since 1991, interest in LEO spacecraft has increased tremendously, as has the number of young workers in the field. With the advent of CubeSats, the number of satellites being built and launched today has skyrocketed. This book, Low Earth Orbiting Satellite Design, is intended to complement Space Mission Analysis and Design. It focuses on the design of the spacecraft hard- ware and software, and it intends to provide the new crop of space enthusiasts with the tools they need to design hardware and software for space. At the end of the book, a spacecraft design problem is given. The reader is encouraged to complete the design posed by the problem with the spreadsheets and equations provided in the book, thereby affirming all that has been learned over the course of this text. McLean, VA, USA George Sebestyen December 2016 v Contents 1 The Space Environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1 The Environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.1 The Earth Magnetic Field . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.1.2 Solar Energy . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.3 Residual Atmosphere . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3 1.1.4 Gravity and Gravity Gradient . . . . . . . . . . . . . . . . . . . . . . . 5 1.2 The Earth and Spacecraft Coordinate System . . . . . . . . . . . . . . . . . 5 1.3 Other Space Environmental Matters . . . . . . . . . . . . . . . . . . . . . . . . 7 2 Satellite Missions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.1 Satellite Orbits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 2.2 Satellites Today . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2.3 Satellite Imaging . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.3.1 Imaging Payload Fundamentals . . . . . . . . . . . . . . . . . . . . . . 15 2.3.2 The Telescope . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 16 2.3.3 Image Quality. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.3.4 Adequacy of the Light Input . . . . . . . . . . . . . . . . . . . . . . . . 19 2.3.5 Image Integration (Exposure) Time . . . . . . . . . . . . . . . . . . . 21 2.3.6 Pointing to a Target on the Ground . . . . . . . . . . . . . . . . . . . 23 2.3.7 Swath Width . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 2.3.8 Spacecraft Agility and Targeting . . . . . . . . . . . . . . . . . . . . . 28 2.3.9 Imaging Spacecraft Attitude Sensing, Control Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 28 2.3.10 Data Quantity and Downlink Data Rate . . . . . . . . . . . . . . . 29 2.3.11 An Imaging Scenario . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 30 2.4 Satellite Constellations. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.4.1 Present Constellations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 2.4.2 Coverage and Gaps . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33 2.4.3 Other Satellite Constellation Considerations . . . . . . . . . . . . 37 vii viii Contents 3 Orbits and Spacecraft-Related Geometry . . . . . . . . . . . . . . . . . . . . 39 3.1 Acceleration of Gravity, Velocity, Period . . . . . . . . . . . . . . . . . . . . . 39 3.2 Position of Spacecraft as a Function of Time . . . . . . . . . . . . . . . . . 40 3.3 Spacecraft Elevation, Slant Range, CPA, Ground Range . . . . . . . . 42 3.4 Pointing to a Target on the Ground From the Spacecraft. . . . . . . . . 47 3.5 Ballistic Coefficient and On-Orbit Life . . . . . . . . . . . . . . . . . . . . . . 49 3.6 Computing the Projection of the Sun on Planes on the Spacecraft . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 4 Electric Power Subsystem Design . . . . . . . . . . . . . . . . . . . . . . . . . . . 55 4.1 Required Orbit Average Power (OAP) . . . . . . . . . . . . . . . . . . . . . . . 56 4.2 Battery Capacity and Battery System Design . . . . . . . . . . . . . . . . . 57 4.2.1 Battery Capacity. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57 4.2.2 Battery Choice . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 4.3 Solar Arrays Configuration . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 4.4 Beta Angle Vs. Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 4.5 Solar Cells and Cell Laydown . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 4.6 EPS Block Diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 5 Spacecraft Communications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 5.1 Frequency Allocation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 5.2 Modulation Types . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 71 5.3 Bit Error Rate (BER) and Forward Error Correction (FEC) . . . . . . 72 5.4 Link Equations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73 5.5 Spacecraft Antennas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 5.5.1 The N-Turn Helix Antenna . . . . . . . . . . . . . . . . . . . . . . . . . 76 5.5.2 Half Wave Quadrifilar Helix Antenna . . . . . . . . . . . . . . . . . 77 5.5.3 The Turnstile Antenna . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 5.5.4 The Patch Antenna . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 5.5.5 Horn Antennas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 5.5.6 Dish Antennas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 5.5.7 Intersatellite Links and Steerable Antennas . . . . . . . . . . . . . 81 5.5.8 Phased Arrays. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 5.5.9 Deployable Antennas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 5.6 Increasing Throughput by Varying Bit Rate or Switching Antennas . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 5.7 Geometrical Constraints on Space-to-Ground Communication . . . 84 5.8 RF Subsystem Block Diagram . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 6 Spacecraft Digital Hardware . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 6.1 Computer Architecture . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 87 6.2 Computer Characteristics and Selection . . . . . . . . . . . . . . . . . . . . . 89 6.3 Spacecraft Computers Available Today . . . . . . . . . . . . . . . . . . . . . . 89 7 Attitude Determination and Control System (ADACS) . . . . . . . . . . . 91 7.1 ADACS Performance Requirements Flowdown . . . . . . . . . . . . . . . 91 7.2 Description of the Most Common ADACS Systems . . . . . . . . . . . . 93 7.2.1 Gravity Gradient Stabilization . . . . . . . . . . . . . . . . . . . . . . . 93 Contents ix 7.2.2 Pitch Bias Momentum Stabilization . . . . . . . . . . . . . . . . . . 95 7.2.3 3-Axis Zero Momentum Stabilization . . . . . . . . . . . . . . . . . 97 7.2.4 Magnetic Spin Stabilization . . . . . . . . . . . . . . . . . . . . . . . . . 98 7.3 The ADACS Components . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 99 7.3.1 Reaction Wheels and Sizing the Wheels . . . . . . . . . . . . . . . 99 7.3.2 Torque Coils or Rods: Momentum Unloading . . . . . . . . . . . 100 7.3.3 Star Trackers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 102 7.3.4 GPS Receivers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 7.3.5 Other ADACS Components . . . . . . . . . . . . . . . . . . . . . . . . 106 7.3.6 The ADACS Computer and Algorithms . . . . . . . . . . . . . . . 106 7.3.7 ADACS Modes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 107 7.4 Attitude Control System Design Methodologies . . . . . . . . . . . . . . . 108 7.5 Integration and Test . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 112 7.6 On Orbit Checkout . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 8 Spacecraft Software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 8.1 Functions and Software Architecture . . . . . . . . . . . . . . . . . . . . . . . . 116 8.2 Performing Each Function or Module . . . . . . . . . . . . . . . . . . . . . . . 118 8.2.1 Initialization of the CDH Processor, Hardware, and Operating System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 118 8.2.2 Executing Scheduled Events . . . . . . . . . . . . . . . . . . . . . . . . 118 8.2.3 Stored Command Execution . . . . . . . . . . . . . . . . . . . . . . . . 119 8.2.4 Housekeeping . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 8.2.5 Management of the On-Board Electric Power System . . . . 120 8.2.6 Management of the On-Board Thermal Control System . . . 121 8.2.7 Telemetry Data Collection . . . . . . . . . . . . . . . . . . . . . . . . . . 121 8.2.8 Communications Software . . . . . . . . . . . . . . . . . . . . . . . . . . 122 8.2.9 Attitude Control System Software . . . . . . . . . . . . . . . . . . . . 123 8.2.10 Uploadable Software . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 123 8.2.11 Propulsion Control System Software . . . . . . . . . . . . . . . . . . 124 8.3 Software Development . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 9 Spacecraft Structure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 9.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 127 9.2 Requirements Flow-Down and the Structure Design Process . . . . . 128 9.3 Structure Options, Their Advantages and Disadvantages . . . . . . . . 130 9.4 Structure Materials and Properties . . . . . . . . . . . . . . . . . . . . . . . . . . 136 9.5 Fasteners . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 137 9.6 Factors of Safety . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 138 9.7 Structural Analyses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 139 9.7.1 Structural Analysis Overview . . . . . . . . . . . . . . . . . . . . . . . 139 9.7.2 Structural Analysis Steps in Detail . . . . . . . . . . . . . . . . . . . 140 9.8 Weight Estimate . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 154 10 Deployment Mechanisms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 161 10.1 Deployment Devices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 10.1.1 Hinges . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 x Contents 10.1.2 Deployable Booms . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 162 10.1.3 Large Deployable Antennas . . . . . . . . . . . . . . . . . . . . . . 164 10.2 Restraint Devices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 165 10.2.1 The Explosive Bolt Cutter . . . . . . . . . . . . . . . . . . . . . . . 165 10.2.2 Electric Burn Wires . . . . . . . . . . . . . . . . . . . . . . . . . . . . 166 10.2.3 Solenoid Pin Pullers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 167 10.2.4 Paraffin Pin Pushers . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168 10.2.5 Motorized Cams or Doors . . . . . . . . . . . . . . . . . . . . . . . 168 10.2.6 Separation System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 168 10.2.7 Dampers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 10.2.8 Fluid Dampers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 169 10.2.9 Magnetic Dampers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 170 10.2.10 Constant Speed Governor Dampers . . . . . . . . . . . . . . . . 170 10.3 Choosing the Right Mechanism . . . . . . . . . . . . . . . . . . . . . . . . . . 170 10.4 Testing Deployables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171 11 Propulsion . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 11.1 The Basics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 173 11.2 Propulsion Systems . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 176 11.2.1 Cold Gas Propulsion System . . . . . . . . . . . . . . . . . . . . . 176 11.2.2 Hydrazine Propulsion System . . . . . . . . . . . . . . . . . . . . 178 11.2.3 Other Propulsion Systems . . . . . . . . . . . . . . . . . . . . . . . 179 11.3 Propulsion System Hardware . . . . . . . . . . . . . . . . . . . . . . . . . . . . 179 11.4 Propulsion Maneuvers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 181 11.4.1 Maneuvers for Spacecraft in a Constellation, Maintaining and Getting to Station . . . . . . . . . . . . . . . . 181 11.5 Other Propulsion Requirements . . . . . . . . . . . . . . . . . . . . . . . . . . 185 12 Thermal Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 187 12.1 The Thermal Environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 188 12.2 Heat Absorption . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 191 12.3 Heat Rejection . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 192 12.4 Heat Generated by the Spacecraft Electronics . . . . . . . . . . . . . . . 192 12.5 Tools Available for Altering Spacecraft Thermal Performance . . 193 12.5.1 The Impact of Surface Finishes . . . . . . . . . . . . . . . . . . . 193 12.5.2 Thermal Conduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 194 12.5.3 Conducting Heat across Screwed Plates or Bolt Boundaries . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 12.5.4 Heat Pipes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 195 12.5.5 Louvers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196 12.5.6 Heaters . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 196 12.6 Constructing a Thermal Model of the Spacecraft . . . . . . . . . . . . 197 12.7 A Point Design Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 197 12.8 Thermal and Thermal Vacuum Testing . . . . . . . . . . . . . . . . . . . . 199 12.9 Model Correlation to Conform to Thermal Test Data . . . . . . . . . 200 12.10 Final Flight Temperature Predictions . . . . . . . . . . . . . . . . . . . . . . 200

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