LEADER 04942nam 2200673 a 450 001 9910457217703321 005 20200520144314.0 010 $a1-60086-648-4 010 $a1-60086-429-5 035 $a(CKB)2550000000073257 035 $a(EBL)3111491 035 $a(OCoLC)922978817 035 $a(SSID)ssj0000565826 035 $a(PQKBManifestationID)12222177 035 $a(PQKBTitleCode)TC0000565826 035 $a(PQKBWorkID)10533695 035 $a(PQKB)10950583 035 $a(MiAaPQ)EBC3111491 035 $a(Au-PeEL)EBL3111491 035 $a(CaPaEBR)ebr10516589 035 $a(EXLCZ)992550000000073257 100 $a20000714d1998 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aOrbital and celestial mechanics$b[electronic resource] /$fJohn P. Vinti ; edited by Gim J. Der, Nino L. Bonavito 210 $aReston, Va. $cAmerican Institute of Aeronautics and Astronautics$dc1998 215 $a1 online resource (415 p.) 225 1 $aProgress in astronautics and aeronautics ;$vv. 177 300 $aDescription based upon print version of record. 311 $a1-56347-256-2 320 $aIncludes bibliographical references and index. 327 $aCover; Title; Copyright; Foreword; Table of Contents; Preface; Introduction; Chapter 1 Newton's Laws; I. Newton's Laws of Motion; II. Newton's Law of Gravitation; III. The Gravitational Potential; IV. Gravitational Flux and Gauss' Theorem; V. Gravitational Properties of a True Sphere; Chapter 2 The Two-Body Problem; I. Reduction to the One-Center Problem; II. The One-Center Problem; III. The Laplace Vector; IV. The Conic Section Solutions; V. Elliptic Orbits; VI. Spherical Trigonometry; VII. Orbit in Space; VIII. Orbit Determination from Initial Values; Chapter 3 Lagrangian Dynamics 327 $aI. VariationsII. D'Alembert's Principle; III. Hamilton's Principle; IV. Lagrange's Equations; Reference; Chapter 4 The Hamiltonian Equations; I. An Important Theorem; II. Ignorable Variables; Chapter 5 Canonical Transformations; I. The Condition of Exact Differentials; II. Canonical Generating Functions; III. Extended Point Transformation; IV. Transformation from Plane Rectangular to Plane Polar Coordinates; V. The Jacobi Integral; References; Chapter 6 Hamilton-Jacobi Theory; I. The Hamilton-Jacobi Equation; II. An Important Special Case 327 $aIII. The Hamilton-Jacobi Equation for the Kepler ProblemIV. The Integrals for the Kepler Problem; V. Relations Connecting ?[sub(2)] and ?[sub(3)] with ? and ?; VI. Summary; Bibliography; Chapter 7 Hamilton-Jacobi Perturbation Theory; Bibliography; Chapter 8 The Vinti Spheroidal Method for Satellite Orbits and Ballistic Trajectories; I. Introduction; II. The Coordinates and the Hamiltonian; III. The Hamilton-Jacobi Equation; IV. Laplace's Equation; V. Expansion of Potential in Spherical Harmonics; VI. Return to the HJ Equation; VII. The Kinematic Equations; VIII. Orbital Elements 327 $aIX. Factoring the QuarticsX. The ? Integrals; XI. The ? Integrals; XII. The Mean Frequencies; XIII. Assembly of the Kinematic Equations; XIV. Solution of the Kinematic Equations; XV. The Periodic Terms; XVI. The Right Ascension ?; XVII. Further Developments; References; Chapter 9 Delaunay Variables; Reference; Chapter 10 The Lagrange Planetary Equations; I. Semi-Major Axis; II. Eccentricity; III. Inclination; IV. Mean Anomaly; V. The Argument of Pericenter; VI. The Longitude of the Node; VII. Summary; Reference; Chapter 11 The Planetary Disturbing Function; Bibliography 327 $aChapter 12 Gaussian Variational Equations for the Jacobi ElementsReferences; Chapter 13 Gaussian Variational Equations for the Keplerian Elements; I. Preliminaries; II. Equations for ?[sub(1)] and a; III. Equations for ?[sub(2)] and e; IV. Equations for ?[sub(3)] and I; V. Equations for ?[sub(3)] = ?; VI. Equations for ?[sub(2)] = ?; VII. Equations for ?[sub(1)] and l; VIII. Summary; Chapter 14 Potential Theory; I. Introduction; II. Laplace's Equation; III. The Eigenvalue Problem; IV. The R(r) Equation; V. The Assembled Solution; VI. Legendre Polynomials; VII. The Results for P[sub(n)](x) 327 $aVIII. The 0 Solution for m > 0 410 0$aProgress in astronautics and aeronautics ;$vv. 177. 606 $aOrbital mechanics 606 $aCelestial mechanics 606 $aAstrodynamics 608 $aElectronic books. 615 0$aOrbital mechanics. 615 0$aCelestial mechanics. 615 0$aAstrodynamics. 676 $a629.4/113 700 $aVinti$b John P$g(John Pascal),$f1907-$0947121 701 $aDer$b Gim J$0947122 701 $aBonavito$b Nino L$0947123 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910457217703321 996 $aOrbital and celestial mechanics$92139998 997 $aUNINA