LEADER 05864nam 2200697 a 450 001 9910970204503321 005 20251117094638.0 010 $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(Au-PeEL)EBL3111491 035 $a(CaPaEBR)ebr10516589 035 $a(MiAaPQ)EBC3111491 035 $a(BIP)6776196 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 /$fJohn P. Vinti ; edited by Gim J. Der, Nino L. Bonavito 205 $a1st ed. 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 $aDescription based upon print version of record. 311 08$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 > 0 330 $aOrbital and Celestial Mechanics affords engineering students, professors and researchers alike an opportunity to cultivate the mathematical techniques necessary for this discipline - as well as physics and trajectory mechanics - using the familiar and universal concepts of classical physics. For nonspecialists and students unfamiliar with some of the underlying maths principles, the Vinti Spheroidal Method demonstrates computer routines for accurately calculating satellite orbit and ballistic trajectory. More than 20 years ago, Dr. Vinti's revolutionary method was used aboard a ballistic missile targeting programme with great success. His work continues to enable both students and professionals to predict position and velocity vectors for satellites and ballistic missiles almost as accurately as numerical integration. Now the best Vinti algorithms and companion computer source codes are available. 410 0$aProgress in astronautics and aeronautics ;$vv. 177. 606 $aOrbital mechanics 606 $aCelestial mechanics 606 $aAstrodynamics 615 0$aOrbital mechanics. 615 0$aCelestial mechanics. 615 0$aAstrodynamics. 676 $a629.4/113 700 $aVinti$b John P$g(John Pascal),$f1907-$01870672 701 $aDer$b Gim J$01870673 701 $aBonavito$b Nino L$01870674 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910970204503321 996 $aOrbital and celestial mechanics$94479216 997 $aUNINA