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Space Mission THE SPACE TECHNOLOGY LmRARY Published jointly by Microcosm Press and Kluwer Academic Publishers Analysis and Design. An Introduction to Mission Designfor Geostationary Satellites, J. J. Poeba Space Mission Analysis and Design, 1st edition, James R. Wertz and Wiley J. Larson Third Edition "'Space Mission Analysis and Design, 2nd edition. Wiley J. Larson and James R. Wertz *Space Mission Analysis and Design Workbook. Wiley J. Larson and James R. Wertz Handbook ofG eostationary Orbits. E. M. Soop *Spacecrajt Structures and Mechanisms, From Coru:ept to Launch, Thomas P. Sarafm Edited by Spaceflight Ll/e Support and Biospherics, Peter Eckart Wiley J. Larson *Reducing Space Mission Cost, James R. Wertz and Wiley J. Larson The Logic ofM icros pace, Rick Fleeter United States Air Force Academy Space Marketing: A European Perspective, Walter A. R. Peeters and Fundamentals ofA strodynamics and Applications, 2nd edition, David A. Vallado Mission Geometry; Orbit and Constellation Design and Management, James R. Wertz James R. Wertz Influence ofP sychological Factors on Product Development, Eginaldo Shima Kamata Microcosm, Inc. Essential Spaceflight Dynamics and Magnetospherlcs, Boris Rauschenbakh, Michael Ovchinnikov, and Susan McKenna-lawlor Space Psychology and Psychiatry, Nick Kanas and Dietrich Manuy . Coordination by Fundamentals ofS pace Medicine. Gilles Cl~ment Douglas Kirkpatrick, United States Air Force Academy Donna Klungle, Microcosm, Inc. ·A1so In the DoDINASA Space Technology Series (Managing EdItor Wiley J. Larson) The Space Technology Library Editorial Board ThIs book is published as part of the Space Teclmology Series, a coopmtive activity of the UDited Slates Department of Defeose. and National AeronaUlics and Space AdmiDistration. Managing Editor: James R. Wertz. Microcosm, Iru:., E1 Segundo, CA Editorial Board: Val A. Chobotov, The Aerospace Corporation (retired) MIchael L. DeLoreuzo, Uniled States Air Force Academy Space Technology Library Roland Dod,International Space University, Strasbourg, France Robert B. Giffen, United States Air Force Academy (retired) WOey J. Larson, United Stales Air Force Academy Published Jointly by Tom Logsdon, Rockwell International (retired) Microcosm Press Landis Markley, Goddard Space Flight Center E1 Segundo, California Robert G. Melton, Pennsylvania State University Keiken Ninomfya, InstiJute ofS pace & Astronautical Scieru:e, Japan Jebanglr J. Pocha, Marra Marconi Space, Stevenage, England Malcolm D. Shuster, University ofF lorida K1uwer Academic PubUsbers Gael Squibb, Jet Propulsion Laboratory Dordrecbt I Boston I London Martin Sweeting, University ofS U"ey, England Table of Contents List of Authors Ix ThIrd Edition Preface xvii Library of Congress CataJoging-in-PubUcation Data 1. The Space MIssion Analysis and Design Process 1 1.1 Introduction and Overview 1 A C.I.P. Catalogue record for this book is available from the Library of Congress. 1.2 The Space Mission Life Cycle 7 1.3 Step 1: Definition of Mission Objectives 12 ISBN 1-881883-10-8 (pb) (acid-free paper) 1.4 Step 2: Preliminary Estimate of Mission Needs, Requirements, ISBN 0-7923-5901-1 (hb) (acid-free paper) and Constraints 15 CUller photo ofE arth from Space: V'1eW of /ifrlca and the Inditm OceQII taken in Dec. 1972, by Apollo 17 2. Mission Characterization 19 the last of the Apollo mlssUms to explore the Moon. Photo courtesy of NASA. • 2.1 Step 3: Identifying Alternative Mission Concepts 21 CUller design by JeQlline Newcomb and Joy Saktzguchi. 2.2 Step 4: Identifying Alternative Mission Architectures 32 2.3 Step 5: Identifying System Drivers 37 2.4 Step 6: Characterizing the Mission Architecture 38 Published jointly by 3. Mission Evaluation 47 Microcosm Press 3.1 Step 7: Identification of Critical Requirements 48 401 Coral Circle, E1 Segundo, CA 90245-4622 USA 3.2 Mission Analysis 49 and K1uwer Academic Publishers, 3.3 Step 8: Mission Utility 59' P.O. Box 17, 3300 AA Dordrecht, The Netherlands. 3.4 Step 9: Mission Concept Selection 69 K1uwer Academic Publishers incorporates 4. Requirements Definition 73 the pubIishing programmes of 4.1 Role of ReqUirements in System Development 74 D. Reidel, Martinus Nijhoff, Dr_ W. Junk and MTP Press. 4.2 Requirements Analysis and Performance Budgeting 80 Sold and distributed in the USA and Canada 4.3 Requirements Documentation and Specifications 90 by Microcosm, Inc. 4.4 Summary: The Steps to a Requirements Baseline 93 401 Coral Circle, El Segundo, CA 90245-4622 USA and Kluwer Academic Publishers, 5. Space MIssion Geometry 95 101 Philip Drive. Norwell. MA 02061 USA 5.1 Introduction to Geometry on the Celestial Sphere 98 5.2 Earth Geometry Viewed from Space 110 In all other countries, sold and distributed by K1uwer Academic Publishers Group, 5.3 Apparent Motion of Satellites for an Observer on the Earth 117 P.O. Box 322, 3300 AA Dordrecht, The Netherlands. 5.4 Development of Mapping and Pointing Budgets 123 Printed on acifJ-free paper 6. Introduction to Astrodynamlcs 131 6.1 Keplerian Orbits 132 All Rights Reserved 6.2 Orbit Perturbations 141 <0 1m Mlcrccosm, Inc. and WJ . Larson Seventh Printing, 200S 6.3 Orbit Maneuvering 146 No part of the material protected by this copyright notice may be reproduced or 6.4 Launch Windows 153 utilized In any form or by any means, eleetronic or mechanical 6.5 Orbit Maintenance 155 Inc~ding photocopying, recording, or by any information storage ~ relJieval system, without written permission from the copyright owner. PrInted In the United Slates of Ametice v vill Table of Contents 21. Limits on Mission Design 821 21.1 Law and Policy Considerations 821 21.2 Orbital Debris-A Space Hazard List of Authors 840 22. Design of Low-Cost Spacecraft 853 22.1 Designing Low-Cost Space Systems Henry Apgar. Vice President, MCR International, Inc., Thousand Oaks, California. 858 22.2 Small Space Systems Capabilities and Applications M.B.A., Northeastern University; B.S. (Electrical Engineering), Rutgers University. 863 22.3 Applying Miniature Satellite Technology to FireSat Chapter 2~ost Modeling. 869 22.4 Scaling from Large to Small Systems 871 David A. Bearden. Senior Project Engineer, Corporate Business Division, The Aero 22.5 Economics of Low-Cost Space Systems 873 space Corporation, El Segundo, California. Ph.D., M.S. (Aerospace Engineering), 22.6 Annotated Bibliography on Low-Cost Space Systems 881 University of Southern California; B.S. (Mechanical Engineering), University of 23. Applying th~ Space Mission Analysis and Design Utah. Chapter 20-Cost Modeling. 883 23.1 Applymg SMAD to Later Mission Phases 884 23.2 Lessons Learned from Existing Space Programs Robert Bell. Mission Analyst, Microcosm, Inc., Torrance, California. M.S. (Aero 888 23.3 Future Trends space Engineering), University of Southern California; B.S. (Aerospace Engineering), 889 University of Southern California. Appendix F-Units and Conversion Factors. Richard T.Berget. Program Director, BF Goodrich Aerospace, Data Systems Divi APPENDICES sion, Albuquerque, New Mexico. M.S., B.S. (Electrical Engineering), University of. Appendix A. Mass Di$tribution for Selected Satellites New Mexico. Section 11.3-Command and Data Handling. . 894 Appendix B. Astronautical and Astrophysical Data 897 J. B. Blake. Director, Space Sciences Department, Space and Environment Tech Appendix C. Elliptical Orbit Equations nology Center, The Aerospace Corporation, El Segundo, California. Ph.D., M.S. 902 (physics), University of Illinois; B.S. (Engineering Physics), University of Illinois. Appendix D. Spherical Geometry Section 8. I-The Space Environment. 904 ~ppendix E. Universal Time and Julian Dates 913 Daryl G. Boden. Associate Professor of Aerospace Engineering, U.S. Naval Acad \ppendix F. Units and Conversion Factors emy, Annapolis, Maryland. Ph.D.(Aeronautical and Astronautical Engineering), 919 University of Illinois; M.S. (Astronautical Engineering), Air Force Institute of [ndex 929 Technology; B.S. (Aerospace Engineering), University of Colorado. Chapter 6-Introduction to Astrodynamics. . NSIDE FRONT COVER William R. Britton. Mechanisms Section Manager, Space Systems, Lockheed Martin Astronautics, Denver, Colorado. B.S. (Mechanical Engineering), Drexel University. rundamental Physical Constants Inside Front Cover Section 11.6-Structures and Mechanisms. 'pace8ight Constants Inside Front Cover Robert F. Brodsky. Chief Engineer, Microcosm, Inc., Torrance, California. Adjunct ndex to Process Charts Page Facing Inside Front Cover Professor of Aerospace Engineering, University of Southern California. Sc.D. (Engineering), New York University; M.Aeron. Engineering, New York University; M.S. (Mathematics), University of New Mexico; B.M.E., Cornell University. NSIDE REAR COVER Chapter 9-Space Payload Design and Sizing. :arth Satellite Parameters Inside Rear Pages John B. Carraway. Principal Engineer, Jet Propulsion Laboratory, Pasadena, California. B.S. (Electrical Engineering), Massachusetts Institute of Technology. Chapter 14-Mission Operations. Ix 1 x List of Authors List of Authors xi Bruce Chesley. Small Satellite Program Manager and Assistant Professor of Astro L. Jane Hansen. President, HRP Systems, Torrance, California. M.B.A., Pepperdine nautics, U.S. Air Force Academy, Colorado Springs, Colorado. Ph.D. (Aerospace University School of Business and Management; B.S. (Applied Mathematics), Cali En~n~ng), University o~ Colorado, Boulder; M.S. (Aerospace Engineering), fornia Polytechnic State University, San Luis Obispo. Chapter 16-Spacecraft Com UruVerslty of Texas at Austin; B.S. (Aerospace Engineering), University of Notre puter Systems. Dame. Chapter 9-Space Payload Design and Sizing. Brian E. Hardt Senior Project Engineer, The Aerospace Corporation, EI Segundo. Jo~ T: Collins. . Sy.stem Engineer, Microcosm, Inc. B.S. (Aerospace Engineering), California. M.S. (Mechanical Engineering), University of D1inois at Urbana-Cham Uruverslty of illmOls (UIUC); B.S. (Astronomy), University of illinois (UIUC). paign; B.S. (Mechanical Engineering), University of Illinois at Urbana-Champaign. Section 20.5-FireSat Example. Section lIS-Thermal. Ric~ S. Davies. Technical Staff, Stanford Telecommunications, Inc., Santa Clara. Herbert Hecht. Chairman of the Board, SoHaR, Inc., Beverly Hills. California. Ph.D. CaI!fo~a. Engineer, S~ford University; M.S., B.S. (Electrical Engineering), (Engineering), University of California. Los Angeles; M.S. (Electrical Engineering), UruVerslty ofPennsylvarua. Chapter I3-Communications Architecture. Polytechnic University of New York; B.S. (Electrical Engineering), City University, New York. Section 19.2-Reliability for Space Mission Planning. Simon D. Dawson. Systems Engineer, Microcosm, Inc., Torrance, California. MSc (S~ac~aft Technology and Satellite Communications), University College London, Robert W. Hosken. Member of the Technical Staff, The Aerospace Corporation, El Uruverslty o~Londo~; BSc (Hons) (Physics & EW'Opean Studies), University of Sus Segundo, California. Ph.D. (physics), University of illinois; B.S. (Electrical Engi sex. Appendices; InsIde Rear Pages-Earth Satellite Parameters. neering), Polytechnic Institute of Brooklyn. Chapter I~pacecraft Computer Systems. Fred J. Dietrich. Principal Engineer, Globalstar, L.P., Palo Alto, California. Ph.D., Ohio ~tate University; M.S. (Electrical Engineering), Purdue University; B.S. Douglas Kirkpatrick. Visiting Professor, U.S. Air Force Academy, Colorado (Electncal Engineering), Missouri School of Mines. Chapter 13-Communications Springs, Colorado. Ph.D., University of Texas at Austin; M.S., Purdue University; Architecture. B.S., U.S. Air Force Academy. Section 11.2-Telemetry, Tracking, and Command; Chapter IS-Launch Systems. Peter G. Doukas. Senior Staff Engineer, Martin Marietta Astronautics Group, I?enver, Colorado. B.S. (Aeronautics and Astronautics), Purdue University. Sec Malcolm K. Kong. Manager, Hardness & Survivability Engineering, TRW Systems tion Il.~tructures and Mechanisms. & Information Technology Group. Redondo Beach, California. M.S. (Systems Engi neering), West Coast University, Los Angeles; B.S. (Electrical Engineering), Purdue John S. Etemo. Chief Scientist, Ball Aerospace & Technologies Corp., Boulder, University. Section S.2-Hardness and Survivability Requirements. Colorado. Ph.D., M.S. (Aeronautics and Astronautics), Massachusetts Institute of Tec~ology; B.S. (Aerospace Engineering), Case Western Reserve University. H. C. Koons. Distinguished Scientist, Space Sciences Department, Space and Envi Section I I. I-Attitude Determination and Control. ronment Technology Center, The Aerospace Corporation, EI Segundo, California. Ph.D. (Geophysics), Massachusetts Institute of Technology; B.S. (physics), Massa Rick FIee~r. ~esident, AeroAstro,. Herndon, Virginia. Ph.D. (Thermodynamics), chusetts Institute of Technology. Section S.I-The Space Environment. Brown UnIVersIty; M.Sc. (Astronautics and Aeronautics), Stanford University; A.B. (Engineering and Economics), Brown University. Chapter 22-Design of Low-Cost Spacecraft· Wiley J. Larson. Director, Space Mission Analysis and Design Program, U.S. Air Force Academy, Colorado Springs, Colorado. D.E. (Spacecraft Design), Texas A&M David G. G~or~. Senior Engineering Specialist, The Aerospace Corporation, EI University; M.S. (Electrical Engineering), University of Michigan; B.S. (Electrical Segundo, Callforma. B.S. (Mechanical Engineering), University of California. Irvine. Engineering), University of Michigan. Editor; Chapter I-The Space Mission Analy Section lIS-Thermal. sis and Design Process; Chapter 14-Mission Operations; Chapter 23-Applying Space Mission ~nalysis and Design Process. D. J •. Gorney. Principal ~~tor, Defense Support Program, The Aerospace Cor POT?bO~ EI Segundo. Callforma. Ph.D., M.S. (Atmospheric Sciences), University of Joseph P.Loftus, Jr. Assistant Director for Plans, L.B. Johnson Space 'Center, Callforma. Los Angeles; B.S. (physics), University of Bridgeport, Connecticut. NASA,. Houston, Texas. Sloan Fellow (Business), Stanford University; M.A. (Math Section S.I-The Space Environment. and Psychology), Fordham University; B.A. (Math and Psychology), Catholic Univer sity. Chapter IS-Launch Systems. Eric W •.G rob. Aerospace Engineer, Thermal Engineering Branch, NASA Goddard Sp~ce ~bght Center, Greenbelt, Maryland. M.S. (Mechanical Engineering), Drexel Reinhold Lutz. Director, Technology Strategy, Daimler Chrysler Aerospace, Bergen, Uruverslty; B.S. (Mechanical Engineering). West Virginia University. Section Germany. Dr.-Ing., University of German Forces; Dipl.-Ing., Technical University 11.5--Thermal. Munich. Chapter 9-Space Payload Design and Sizing. xii List of Authors List of Authors xiii Ronald A. Madler. Associate Professor, Embry-Riddle Aeronautical University, Richard P. Reinert. Staff Consultant, Spacecraft and Mission Design Division, Ball Prescott, Arizona. Ph.D., M.S., B.S. (Aerospace Engineering Sciences), University of Colorado, Boulder. Section 21.2-Drbital Debris-A Space Hazard. Aerospace Systems, Boulder, Colorado. B.S: (~eronautica1 ~ngi~eering), Massachu setts Institute of Technology. Chapter 2-Mr.sszon Charactenzat;.on. James R. McCandless. Manager (Retired), Stress Analysis, Space Systems, Lock heed Martin Astronautics, Denver, Colorado. B.S. (ArchitecturaI Engineering), Robert L. Sackheim. Deputy Director, Propulsion Technology and. Fluid ~ec~cs University of Texas. Section 11.6-Structures and Mechanisms. Center, .TRW, Inc., Redondo Beach, California. M.S., B.S. (ChelDlca1 Engmeenng) Columbia University. Chapter 17-Space Propulsion Systems. Joseph K. McDermott. Engineering Manager, Lockheed Martin Astronautics Group, Denver, Colorado. M.E. (Engineering Management), University of Colorado; B.S. Thomas P. Sarafin. Co~ultantlPresident, Instar Engineering and .Co~ting, ~c., (Chemistry), Loras College. Section 11.4-Power. Littleton, Colorado. B.S. (Civil Engineering), Ohio State Umverslty. Section 11.6-Structures and Mechanisms. Darren S. McKnight. Vice President, Titan Research and Technology, Reston, Vir ginia. Ph.D. (Aerospace Engineering), University of Colorado; M.S. (Mechanical Michael Schulz. Senior Scientist, Lockheed Martin Advanced Technology Center. Engineering), University of New Mexico; B.S. (Engineering), U.S. Air Force Acade Palo Alto, California. Ph.D. (physics),lVIassachusetts Institute of.Technology; B.S. my. Section 21.2-Orbital Debris-A Space Hazard. (physics), Michigan State University. Section S.l-The Space EnVIronment. Wade Molnau. Manufacturing Manager, Motorola Systems Solutions Group, Space Cbad Spalt. Production Technical Lead, MotoR?la Satellite Comm~catio~ ~up, Services and Systems Division, Scottsdale, Arizona. Ph.D., M.S., B.S. (Industrial Mobile Satellite Systems Division, Chandler, Arizona. M.S. (Industrial EngmeerIng), Engineering), Arizona State University. Section 19.1-DeSigning Space Systems/or Arizona State University; B.S. (Mechanical Engineering Technology), So~~ern Manu/acturability. Dlinois University. Section 19. I-Designing Space Systems/or Manufacturabillty. Paul Nordin. NASAlTDRS Resident Office Manager at Hughes Space and Com Gael F. Sqw"hb. Director for TeleCommunications and Mission Operations: Jet munications, EI Segundo, California, employed by The Boeing Company, Seabrook, Propulsion Laboratory, Pasadena, California. M.S. (Systems Management), Umver sity of Southern California; B.S. (physics), Harvey Mudd College. Chapter MD. Ph.D .• M.A., B.A., (Nuclear Physics). University of California, Berkeley. Section S.2-Hardness and Survivability Requirements. 14--Mission Operations Jean Olivieri. Teledesic Bus Production Manager. Motorola Advanced Systems Charles Teixeira. Chief, Systems Definition Branch, L.B. Jo~n Space Ce~ter, Division, Chandler, Arizona. M.S. • B.S. (Industrial Engineering), Arizona State NASA, Houston, Texas. M.S. (Mechanical Engineering), LoUiSiana State Umver University. Section 19.1-Designing Space Systems for Manufacturability. sity; B.S. (Aeronautical Engineering), New York University. Chapter IS-Launch Systems. Wes Ousley. Head, Thermal Engineering Branch, NASA Goddard Space Flight Cen ter, Greenbelt, Maryland. B.S. (Mechanical Engineering), University of Maryland. Alan C. Tribble. Manager, Applications Development, ~orma~on ~echnology: Section Il.S-Thermal. Rockwell Collins, Cedar Rapids, Iowa. Ph.D., M.S., (PhYSICS), Um~erslty of Iowa, B.S. (physics), University of Arkansas. Section S.l-The Space EnvIronment. Craig H. Pollock. Space Systems Engineer (Onboard Processing Design Integration and Operations Engineering), TRW Space and Defense Sector, Redondo Beach Cal A. L. Vampola. Consultant, Space Environment Eff~ts, Vista, Ca!ifornia. ~h.D., M.S. (physics), St Louis University; B.S. (Mathematics and PhYSICS), Creighton ifornia. M.A. (Mathematics), California State University, Long Beach; B.S. (physics and Mathematics), University of New Mexico. Chapter 16-Spacecraft Computer University, Nebraska. Section S.l-The Space Environment. Systems. R. L. Walterscheid. Senior Scientist, Space Sciences Department, Space. and Robert C. Prager. Engineering Specialist, The Aerospace Corporation, El Segundo, Environment Technology Center, The Aerospace Corporation, EI Segundo, Califor California. MS. (Engineering), University of California, Berkeley. B.S. (Engineer nia. PhD. (Atmospheric Sciences), University of California, ~ Ang~les; .M.S. ing), Princeton University. Section 1l.5-Thermal. (Meteorology). University of California, Los Ang~les; A.~. (Phrslcs), ~mverslty of California, Berkeley; B.S. (Meteorology), UniVersity of WisconsIn. Section S.l-The Emery I. Reeves. Shriever Chair Professor of Space Systems Engineering, U.S. Air Space Environment. Force Academy, Colorado Springs, Colorado. M.S. (Electrical Engineering), ':1assachusetts Institute of Technology; B.E. (Electrical Engineering), Yale Univer Stanley I. Weiss. Visiting Professor, Massachusetts ~tute .of Technology and ~Ity. Chapter IO-Spacecraft Design and Sizing, Chapter 12-Spacecraft Manu/ac University of California Davis; Formerly Corporate ~ En1?neenng. an? VP Research ure and Test. and Development, Lockheed Corporation; PhD., ~mverslty of ~~OIS; M.s., B.S. • Renesselaer Polytechnic Institute. Chapter 4--RequJrements Definttton. xiv List of Authors List of Authors xv James R. Wertz. President, Microcosm, Inc., Torrance, California. Ph.D. (Relativity m SMAD I, ll, and Authors & Cosmology), University of Texas, Austin; M.S. (Administration of Science and Technology), George Washington University; S.B. (physics), Massachusetts Institute of Technology. Editor; Chapter I-The Space Mission Analysis and Design The third edition is the end result of a substantial effort by the authors of all the Process; Chapter 2-Mission Characterization; Chapter 3-Mission Evaluation; SMAD editions. Consequently, we would like to acknowledge and express our thanks Chapter 5-Space Mission Geometry; Chapter 7-0rbit and ConsteUation Design; to alI of the authors who have contributed to this series: Section S.I-The Space Environment; Section 1l.7--Guidance and Navigation; Chapter 2~Applying the Space Mission Analysis and Design Process; Appen Henry Apgar James R. McCandless dix E-Universal Time and Julian Dates. David A. Bearden Joseph K. McDermott Robert Bell Darren S. McKnight Gary G. Whitworth. Senior Engineer (Retired), Applied Physics Laboratory, Johns Richard T. Berget Robert K. McMor4ie Hopkins University, Laurel, Maryland. B.S. (Electrical Engineering), University of J. B. Blake Wade Molnau Tennessee. Chapter 15-Ground System Design and Sizing. James E. Boatwright Ralph L. Mueller Daryl G. Boden David Negron, Jr. Michael S. Williams. Vice President, Personal SATCOM Systems, Lockheed Martin William R. Britton Paul Nordin Global Telecommunications, Reston, VA. M.S. (Electrical Engineering), University Robert F. Brodsky Thomas P. O'Brien of Pennsylvania; M.B.A. (Statistics/Operations Research), Temple University; B.S. John B. Carraway Jean Olivieri (Physics), St Joseph's University. Chapter 4-Requirements Definition. Bruce Chesley Wes Ousley Arthur Chomas Aniceto Panetti William B. Wirln. General Manager, Wirin & Associates. 1.D. (University of John T. Collins Craig H. Pollock Southern California School of Law); B.A. (political Science), Occidental College. Section 21.1-Law and Policy Considerations. Richard S. Davies Robert C. Prager Simon D. Dawson Emery I. Reeves Robert E. Wong. Manager, Economic Analysis, TRW Systems Engineering and Fred 1. Dietrich Richard P. Reinert Development Division. TRW, Inc., Redondo Beach, California. PhD. (Economics), Peter G. Doukas Robert L. Sackheim University of Southern California; M.S. (Mathematics), University of Southern Neal Ely Thomas P. Sarafin California; M.A. (Economics), University of Southern California; B.S. (Physics), John S. Etemo Michael Schulz Iowa State University. Chapter 2O--Cost Modeling. Rick Fleeter ChadSpalt John R. Ford, Jr. Gael F. Squibb Sidney Zafran. Program Manager, TRW, Inc., Redondo Beach, California. B.S. Martin E.B. France Charles Teixeira (Mechanical Engineering), Massachusetts Institute of Technology. Chapter 17- . David G. Gilmore Merlin E. Thimlar Space Propulsion Systems. Steven Glaseman Alan C. Tribble D.J.Gorney Tim Tumer EricW.Grob A. L. Vampola L. Jane Hansen R. L. Walterscheid Brian E. Hardt Richard Warner . Herbert Hecht Stanley I. Weiss Robert W. Hosken James R. Wertz Douglas Kirkpatrick Gary G. Whitworth Malcolm K. Kong Michael S. Williams H. C. Koons William B. Wirin Wiley J. Larson Robert S. Wolf Joseph P. Loftus, Jr. RobertE. Wong Reinhold Lutz Sidney Zafran Ronald A. Madler Robert O. Zennuehlen Fr~ois Martel Harold F. Zimbelman 1 I Preface xvii The book is intended as a textbook for either introductory graduate or advanced undergraduate courses, or as a reference for those already working in space tech Preface nology. It can also provide valuable supplementary material for related courses such as spacecraft design or space mission operations. We believe the book can be a key .Space. Mission AruJIysis and Design, known as SMAD to its many friends, has tool for payload designers who need to find out more about space mission design and gamed WIdespread use as a text and reference throughout the astronautics community. for those charged with the responsibility of developing space mission requirements The pwpose of the third edition of SMAD is to both update the book and make it more and specifications. Fmally, we hope that it will be of use to many system engineers in useful and more practical wherever possible. Some topics, such as astrodynamics and this field who have a detailed knowledge of one area, but need to broaden their .,ack mission geometry, have changed relatively little since pUblication of the second edi ground or verify their understanding in related topics. tion in 1992. Here we have made minor modifications to make the material clearer and The book is meant to be read sequentially, although most of the chapters are self more pr~. On the other hand, topics such as space computers and the design of contained, with references to other parts of the book as needed. For readers with specific interests, we recommend the following: ?bserva~o~ p~yloads ,~ave been nearly co~letely rewritten. Because of the growing Interest In 'LightSats and low-Earth OrbIt constellations we have added a Small,sat • Those concerned primarily with mission analysis and design should read cost model, expanded the discussion of constellation design, and included a new sec Chaps. 1-9 and 19-23. tion on multi-satellite manufacturing. The entire volume reflects a greater emphasis on • Those concerned with spacecraft and subsystem design should read Chaps. 1, reducing mission cos~ ~d doing more with less people and fewer resources." Fmally, 2, 4,8-13, and 16-23. the FIreSat sample mISSIon has been extended further and the appendices and end mat • Those concerned primarily with mission operations and the ground interaction ter updated and expanded to provide greater utility as a quick reference. We hope the new edition is better and more useful to you. should read Chaps. 1,2,4, and 13-16. As with the first two editions, the goal of the book to is allow you to begin with a • Those concerned with requirements definition, logistics, and putting a space "blank sheet of paper" and design a space mission to meet a set of broad, often poorly system in place should read Chaps. 1-4,7,9, 10, and 18-23. defined, objectives at minimum cost and risk. You should be able to define the mission • Those interested in constellation design and multi-satellite systems should in sufficient detail to identify principal drivers and make a preliminary assessment of read Chaps. 1-9, 13-16, and 19-23. overall performance, size, cost, and risk. The emphasis is on low-Earth orbit, un • Those interested in reducing mission cost and the design of low-cost missions manned sp~ However, we .hope the principles are broad enough to be applica should read Chaps. 1-3,7-10,12,20-23, and the companion volume, Reduc ble to ~ther mI~IOnS as well. We Intend the book to be a practical guide, rather than a ing Space Mission Cost. theoretical treatise. As much as possible, we have provided physical and engineering data, rules of thumb, empirical formulas, and design algorithms based on past experi SI (metric) units are used throughout the book. Conversions for essentially all ence. We assume that the reader has a general knowledge of physics, math, and basic common units are contained in Appendix F. Conversion factors and physical constants engineering, but is not necessarily familiar with any aspect of space technology. are generally given to their full available accuracy so that they can be inserted into The ~ edition represents an amalgam of contributions over the last decade by computer programs and not considered further. As discussed in the introduction to the m~y engIneers. and m~agers ~m throughout the community. It reflects the insight appendices, the values given are those adopted by the National Bureau of Standards gamed from theIr practical expenence, and suggests how things might be done better based on a least-squares fit to the fundamental physical constants or international in the future. From time to time the views of authors and editors conflict, as must nec agreement on the defInitions of various units. In the case of astronomical constants, essarily ~~ gi~en the broad diversity of experience. We believe it is important to values adopted by the International Astronomical Union are given. The most com reflect this diversIty rather than suppress the opinions of individual experts. Similarly, monly used astronautical formulas and constants are in the appendices. An expanded the level of treatment varies among topics, depending both on the issues each author table of space mission parameters for Earth orbits is on the inside back endleaf. For feels is critical and our overall assessment of the level of detail in each topic that is those wishing to expand that table or use it for other central bodies, the formulas used important to the preliminary mission analysis and design process. for creating it are on the preceding pages. Leadership, funding, and support essential to updating the book were provided by numerous programs at the Air Force Space and Missile Center, Air Force Space Command, NASA Headquarters, NASNGoddard Space Flight Center, and the • The continuing. unrelenting demand to drive down mission cost has led to the creation a Advanced Projects Research Agency. Obtaining funding to create and maintain companion volume to SMAD, RedUCing Space Mission Cost [Wertz and Larson, 1996] which much-needed reference material is exceptionally difficult. We are deeply indebted to addresses cost reduction in all aspects of mission design and includes 10 case studies ~f how the process works in practice. the sponsoring organizations, particularly Air Force Phillips Laboratory, for their support and their recognition of the importance of projects such as this one. The third edition of this book is the result of nearly two years of effort by a dedicated team of government, industry, and academic professionals. The Department xvi of Astronautics, United States Air Force Academy, provided unwavering support for Preface Preface the project. Michael DeLorenzo, Chairman of the Department of Astronautics, communications constellations and microgravity work now beginning to become a provided the leadership and continuing support critical to projects of this type. Both reality to solar power satellites, space tourism, space ind~t:rililization, and settlements Doug Kirkpatrick and Perry Luckett performed a detailed grammatical review in a on the Moon and planets which are .still to be designed. We hope that this volume valiant effort to prevent the rest of us from demonstrating why we became engineers provides a portion of the roadmap and incentive to those who will undertake these· rather than writers. Several graphics artists at the Academy, particularly Mary tasks. We wish you the best of success in this endeavor. Tostanoski and Debra Porter, spent many hours developing and updating artwork. Joan Aug and Bert Reinertson cheerfully handled the huge administrative burden at June, 1999 the Academy. Numerous faculty members, staff, and students graciously sacrificed their time to provide assistance, review, and comments. Daryl Boden assisted with the JamesR. Wertz Wiley J. Larson editing and reviewing even after changing assignments to the Naval Academy. Doug Microcosm, Inc. Department of Astronautics Kirkpatrick managed the task for the Air Force with great skill and patience and 401 Coral Circle United States Air Force Academy reviewed nearly all of the material for both technical and linguistic correctness! EI Segundo, CA 90245-4622 Colorado Springs, CO 80840-6224 OAO Corporation, Colorado Springs, Colorado, provided the contract support for FAX: (310) 726-4110 FAX: (719) 333-3723 the project. Anita Shute at the Air Force Academy spent many hours revising drafts, [email protected] [email protected] creating artwork, and working all aspects of the project. Eugene deGeus Of Kluwer Academic Publishers supplied substantial assistance with all aspects of the publishing activity. This was his final project at Kluwer before taking a science administration Cox, A.N. ed. 1999. Astrophysical Quantities, New York: Springer-Verlag .. position with the Dutch government. We will miss his wisdom and guidance and wish Wertz, James R. and Wiley J. Larson. 1996. Reducing Space Mission Cost. Tonance, CA and him the best of future success. Dordrecht, The Netherlands: Microcosm Press and lOuwer Academic Publishers. At Microcosm, the entire analysis and publications staff worked virtually all aspects of the book (art, grammar, equation checking, technical reviews, and camera ready copy) and suffered patiently through ''the book project" as it continually absorbed great amounts of limited resources. Much of the new graphics was done by undergraduate students Karen Burnham. Paul Murata, Alan Chen, and Julie Wertz under the very capable guidance of Kevin Polk and Simon Dawson. Jennifer Burnham and Judith Neiger did much of the proofing. Robert Bell did most of the demanding task of updating units and conversion factors. John Collins created the new FueSat cost model. Wendi Huntzicker and Joy Sakaguchi created the new camera-ready copy for most of the book. Joy and Chris deFelippo did much of the new art. Fmally, Donna Klungle did a truly remarkable job managing, administering, editing, reviewing, and preparing revisions, drafts, and the final camera-ready copy. Donna accomplished this with skill and good humor, while dealing with the conflicting demands of multiple au thors and editors. Arthur Cox of Lawrence Livermore National Labs and the editors of Astrophysical Quantities [1999] graciously permitted the use of drafts of their forthcoming volume so that we could obtain the most current values for physical quantities. We highly recommend that readers consult Astrophysical Quantities for solar system and astro- nomical parameters which are not contained here. . Every effort has been made to eliminate mathematical and factua1 errors. Many errors from prior editions have been found largely through readers' comments and constructive criticism. Please continue to send any errors, omissions, corrections, or comments to either editor at the addresses below. We sincerely hope that the book will be of use to you in our common goal of reducing the cost and complexity of space utilization. Fmally, one of the most exciting aspects of space mission analysis and design is that after 40 years of space exploration we have only begun to scratch the surface of the variety of important inissions that can and should be done. In spite of problems, set backs, and higher costs than any of us would like, people young and old remain excited about space. The exploration of space will take dramatic new turns in the future, from --------------- Chapter 1 The Space Mission Analysis and Design Process James R. Wertz, Microcosm, Inc. Wiley J. Larson, Unued States Air Force Academy 1.1 Introduction and Overview 1.2 The Space Mission Life Cycle 1.3 Step 1: Definition of Mission Objectives 1.4 Step 2: Preliminary Estimate of Mission Needs, Requirements, and Constraints Space mission analysis and design begins with one or more broad objectives and constraints and then proceeds to define a space system that will meet them at the lowest possible cost. Broad objectives and constraints are the key to this process. Procurement plans for space systems too often substitute detailed numerical require ments for broad mission objectives. To get the most performance for the money spent. we must require of the system only what it can reasonably achieve. Thus, while our overall objectives to communicate, navigate, or observe will generally remain the same, we will achieve these objectives .differently as technology and our understand ing of the process and problem evolve. This chapter summarizes, and the book as a whole details, this process of defining and refining both what is to be done and what mission concept will do it at the lowest cost. There are now a number of references available on the mission design process and the definition of mission objectives. Rechtin [1991] and Ruskin and Estes [1995] provide general discussions "fthis process. Shishko [1995] provides an overview from the NASA perspective and Przemieniecki [1993] gives a similar treatment for defense missions. Davidoff [1998] and Wertz and Larson [1996] discuss this process from the perspective of very low-cost missions and methods for dramatically reducing mission cost. respectively. Boden and Larson [1996] discuss the analysis and design process specifically .f or mission operations. Fmally, Kay [1995] examines the fundamental difficulty of doing technical trades within a democratic political environment. 1.1 bitroduction and Overview Table 1-1 summarizes our approach to the space mission analysis and design process. Space missions range widely from communications, to planetary explomtion, to proposals for space manufacturing, to burial in space. No single process can fully cover all contingencies, but the method in Table 1-1 summarizes a pmctical approach evolved over the first 40 years of space exploration.

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Limits on Mission Design. 21.1 Law and Policy Considerations. 21.2 Orbital Debris-A Space Hazard. Design of Low-Cost Spacecraft. 22.1 Designing
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