LEADER 04775nam 22005895 450 001 9910484046803321 005 20200630221102.0 010 $a3-030-24868-2 024 7 $a10.1007/978-3-030-24868-0 035 $a(CKB)4100000010770945 035 $a(DE-He213)978-3-030-24868-0 035 $a(MiAaPQ)EBC6134196 035 $a(PPN)243228015 035 $a(EXLCZ)994100000010770945 100 $a20200314d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aBasic Calculus of Planetary Orbits and Interplanetary Flight $eThe Missions of the Voyagers, Cassini, and Juno /$fby Alexander J. Hahn 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (XIV, 375 p. 231 illus., 136 illus. in color.) 311 $a3-030-24867-4 327 $aPreface -- 1. From Kepler to Newton to a Picture of the Universe -- 2. Exploring the Solar System -- 3. Calculus of Functions in Polar Coordinates -- 4. Centripetal Force and Resulting Trajectories -- 5. Elliptical Orbits and their Precession -- 6. Mathematics of Interplanetary Flight -- References -- Index. 330 $aIntended for a one- or two-semester course, this text applies basic, one-variable calculus to analyze the motion both of planets in their orbits as well as interplanetary spacecraft in their trajectories. The remarkable spacecraft missions to the inner and outermost reaches of our solar system have been one of the greatest success stories of modern human history. Much of the underlying mathematical story is presented alongside the astonishing images and extensive data that NASA?s Voyager, NEAR-Shoemaker, Cassini, and Juno missions have sent back to us. First and second year college students in mathematics, engineering, or science, and those seeking an enriching independent study, will experience the mathematical language and methods of single variable calculus within their application to relevant conceptual and strategic aspects of the navigation of a spacecraft. The reader is expected to have taken one or two semesters of the basic calculus of derivatives, integrals, and the role that limits play. Additional prerequisites include knowledge of coordinate plane geometry, basic trigonometry, functions and graphs, including trig, inverse, exponential, and log functions. The discussions begin with the rich history of humanity?s efforts to understand the universe from the Greeks, to Newton and the Scientific Revolution, to Hubble and galaxies, to NASA and the space missions. The calculus of polar functions that plays a central mathematical role is presented in a self-contained way in complete detail. Each of the six chapters is followed by an extensive problem set that deals with and also expands on the concerns of the chapter. The instructor has the flexibility to engage them with greater or lesser intensity. ?I have been an aerospace engineer for 39 years and honestly, it would be hard for me to overstate how valuable I believe this book will be to numerous scientific and engineering disciplines and in particular to the future of aerospace engineering ? This book is perfectly crafted to motivate, educate, and prepare the scientists and engineers who wish to reach for the sky and beyond.? ?Dr. Mario Zoccoli, Aerospace Engineer, NASA and Lockheed Martin. 606 $aCalculus 606 $aSpace sciences 606 $aFunctions of real variables 606 $aPhysics 606 $aCalculus$3https://scigraph.springernature.com/ontologies/product-market-codes/M12220 606 $aSpace Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics)$3https://scigraph.springernature.com/ontologies/product-market-codes/P22030 606 $aReal Functions$3https://scigraph.springernature.com/ontologies/product-market-codes/M12171 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 615 0$aCalculus. 615 0$aSpace sciences. 615 0$aFunctions of real variables. 615 0$aPhysics. 615 14$aCalculus. 615 24$aSpace Sciences (including Extraterrestrial Physics, Space Exploration and Astronautics). 615 24$aReal Functions. 615 24$aMathematical Methods in Physics. 676 $a515 700 $aHahn$b Alexander J$4aut$4http://id.loc.gov/vocabulary/relators/aut$058966 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910484046803321 996 $aBasic Calculus of Planetary Orbits and Interplanetary Flight$92201438 997 $aUNINA LEADER 03403nam 22007091 450 001 9910961339403321 005 20111115103300.0 010 $a9786612709944 010 $a9781472599278 010 $a1472599276 010 $a9781282709942 010 $a1282709941 010 $a9780826441522 010 $a0826441521 024 7 $a10.5040/9781472599278 035 $a(CKB)1000000000754713 035 $a(EBL)436702 035 $a(OCoLC)609838631 035 $a(SSID)ssj0000364227 035 $a(PQKBManifestationID)11258577 035 $a(PQKBTitleCode)TC0000364227 035 $a(PQKBWorkID)10395708 035 $a(PQKB)10006490 035 $a(MiAaPQ)EBC436702 035 $a(Au-PeEL)EBL436702 035 $a(CaPaEBR)ebr10404941 035 $a(CaONFJC)MIL270994 035 $a(OCoLC)893334248 035 $a(OCoLC)1197855305 035 $a(UtOrBLW) 92009420 035 $a(UtOrBLW)BP9781472599278BC 035 $a(EXLCZ)991000000000754713 100 $a20150116d1992 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 04$aThe Perception of the past in twelfth-century Europe /$fedited by Paul Magdalino 210 1$aLondon ;$aRio Grande, Ohio :$cHambledon Press,$d1992. 215 $a1 online resource (257 p.) 300 $aDescription based upon print version of record. 311 08$a9781852850661 311 08$a1852850663 320 $aIncludes bibliographical references and index. 327 $aContents; Preface; Introduction; 1 Discovering a Past for the French Aristocracy; 2 Past, Present and No Future in the Twelfth-Century Regnum Teutonicum; 3 Adam and the Eve of Scandinavian History; 4 How the Twelfth-Century Monks of Worcester Perceived their Past; 5 Administration, Family and Perceptions of the Past in Late Twelfth-Century England: Richard FitzNigel and the Dialogue of the Exchequer; 6 The Texts and Contexts of Ancient Roman History in Twelfth-Century Western Scholarship; 7 The Fourth Kingdom and the Rhetoric of Hellenism 327 $a8 Borrowed Time: Perceptions of the Past in Twelfth-Century Rus'9 The Sense of the Past in Italian Communal Narratives; 10 The Political Use of the Past in Norman Sicily; 11 Malleable Accounts: Views of the Past in Twelfth-Century Iberia; Index 330 $a"The way people see the past tells us much about their present interests and about their sense of identity. This book examines both what men of the day knew about their past, and in particular about the Roman Empire, and shows how such knowledge was used to authenticate claims and attitudes. These original essays, by distinguished scholars, are wide-ranging both geographically, from Russia to Iberia, and in scope, dealing with legal, ecclesiastical, noble and scholarly attitudes."--Bloomsbury Publishing. 517 3 $aPerception of the past in 12th century Europe 517 3 $aPerception of the past in 12th-century Europe 606 $aHistoriography$zEurope 606 $2General & world history 607 $aEurope$xHistory$y476-1492$xHistoriography 615 0$aHistoriography 676 $a940.1/82/0922 702 $aMagdalino$b Paul 801 0$bUtOrBLW 801 1$bUtOrBLW 906 $aBOOK 912 $a9910961339403321 996 $aThe Perception of the past in twelfth-century Europe$94337669 997 $aUNINA