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 05192nam 2200697Ia 450 001 9910144309803321 005 20200520144314.0 010 $a9786612112492 010 $a9781282112490 010 $a128211249X 010 $a9780470318911 010 $a0470318910 010 $a9780470318928 010 $a0470318929 035 $a(CKB)1000000000376443 035 $a(EBL)470165 035 $a(OCoLC)609848755 035 $a(SSID)ssj0000354559 035 $a(PQKBManifestationID)11965141 035 $a(PQKBTitleCode)TC0000354559 035 $a(PQKBWorkID)10313179 035 $a(PQKB)10767921 035 $a(MiAaPQ)EBC470165 035 $a(Perlego)2765275 035 $a(EXLCZ)991000000000376443 100 $a20740624d1970 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 00$aOrganic reaction mechanisms$b[electronic resource] $h1969 $ean annual survey covering the literature dated December 1968 through November 1969 /$fedited by B. Capon, C. W. Rees 210 $aLondon $cInterscience Publishers$d1970 215 $a1 online resource (725 p.) 225 1 $aOrganic Reaction Mechanisms Series ;$vv.109 300 $aIncludes indexes. 311 08$a9780471134749 311 08$a0471134740 327 $aORGANIC REACTION MECHANISMS 1969; Contents; Carbonium Ions; Bicyclic and Polycyclic Systems; Participation by Aryl Groups; Participation by Double and Triple Bonds; Reactions of Small-ring Compounds; Metallocenylmethyl Cations; Other Stable Carbonium Ions and their Reactions; Nucleophilic Aliphatic Substitution; Ion-pair Phenomena and Borderline Mechanisms; Solvent and Medium Effects; Isotope Effects; Neighbouring Group Psrticipation; Deamination and Related Reactions; Reactions of Aliphatic Diazo-compounds; Fragmentation Reactions; Displacement Reactions at Elements other than Carbon 327 $aAmbident NucleophilesSubstitution at Vinylic Carbon; Reactions of a-Halogenocarbony1 Compounds; Other Reactions; Carbanions and Electrophilic Aliphatic Substitution; Carbanion Structure and Stability; Reactions of Carbanions; Proton Transfer, Hydrogen Isotope Exchange, and Related Reactions; Organometallics: Groups Ia, IIa, III; Organometallics: Other Elements; Electrophilic Reactiom of Hydrocarbons; Miscellaneous Reactions; Elimination Reactions; Steric Course of E2 Reactions; Orientation in E2 Reactions; The ElcB Mechanism; Other Topics; Addition Reactions; Electrophilic Additions 327 $aNucleophilic AdditionsCycloadditions; Nucleophilic Aromatic Substitution; The SNAr Mechanism; Heterocyclic Systems; Meisenheher and Related Complexes; Substitution in Polyhalogenoammatic Compounds; Other Reactions; Benzyne and Related Intermediafes; Electrophilic Aromatic Substitution; Sulphomtion; Nitration and Nitrosation; Azo Coupling; Friedel-Crafts and Related Reactions; Halogenation; Hydrogen Exchange; Metalation; Metal Cleavage; Decarboxylation; Miscellaneous Reactions; Molecular Rearrangements; Aromatic Rearrangements; Further Sigmatropic Migrations; Small-ring Rearrangements 327 $aOther Eleotrocyclic ReactionsHeterocyclic Rearrangements; Other Rearrangements; Radical Reactions; Structure and Stereochemistry; Decomposition of Azo-compounds and Peroxides; Diradicals; Atom- transfer Processes; Additions; Aromatic Substitution; Rearrangements; Reactions Involving Oxidation or Reduction by Metal Salts; Nitroxides; Reactions Involving Radical Ions; Electrochemical Processes; Autoxidation; Miscellaneous; Carbenes and Nitrenes; Structure; Methods of Generation; Insertions and Abstractions; Cycloaditions; Rearrangements and Fragmentations 327 $aReactions with Nucleophiles and ElectrophilesCarbenoids and Metal Complexes; Reactions of Aldehydes and Ketones and their Derivatives; Formation and Reactions of Acetals and Ketals; Hydrolysis and Formation of Glycosides; Hydration of Aldehydes and Ketones and Related Reactions; Reactions with Nitrogen Bases; Hydrolysis of Enol Ethers and Ester; Enolization and Related Reactions; Aldol Reaction; Reactions of Enamines; Other Reactions; Reactions of Acids and their Derivatives; CarboxyIic Acids; Non-carboxylic Acids; Photochemistry; Physical Aspects; Carbonyl Compounds; Acid Derivatives 327 $aOlefins 330 $aThis annual series on organic reaction mechanisms research provides concise, comprehensive coverage of the year's literature as well as discussions of important results. The present volume either discusses or lists all published work dated from December to November inclusive, that deals significantly with any aspect of organic reaction mechanisms. 410 0$aOrganic Reaction Mechanisms Series 606 $aChemistry, Organic 606 $aChemistry 615 0$aChemistry, Organic. 615 0$aChemistry. 676 $a547.139 676 $a547.2 701 $aCapon$b B$0857122 701 $aRees$b Charles W$g(Charles Wayne)$012568 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910144309803321 996 $aOrganic reaction mechanisms$91913938 997 $aUNINA