04911nam 2200661 a 450 991078141180332120230421050729.01-60086-648-41-60086-429-5(CKB)2550000000073257(EBL)3111491(OCoLC)922978817(SSID)ssj0000565826(PQKBManifestationID)12222177(PQKBTitleCode)TC0000565826(PQKBWorkID)10533695(PQKB)10950583(Au-PeEL)EBL3111491(CaPaEBR)ebr10516589(MiAaPQ)EBC3111491(EXLCZ)99255000000007325720000714d1998 uy 0engur|n|---|||||txtccrOrbital and celestial mechanics[electronic resource] /John P. Vinti ; edited by Gim J. Der, Nino L. BonavitoReston, Va. American Institute of Aeronautics and Astronauticsc19981 online resource (415 p.)Progress in astronautics and aeronautics ;v. 177Description based upon print version of record.1-56347-256-2 Includes bibliographical references and index.Cover; 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 DynamicsI. 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 CaseIII. The Hamilton-Jacobi Equation for the Kepler ProblemIV. The Integrals for the Kepler Problem; V. Relations Connecting β[sub(2)] and β[sub(3)] with ω and Ω; 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 ElementsIX. Factoring the QuarticsX. The ρ Integrals; XI. The η 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 Φ; 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; BibliographyChapter 12 Gaussian Variational Equations for the Jacobi ElementsReferences; Chapter 13 Gaussian Variational Equations for the Keplerian Elements; I. Preliminaries; II. Equations for α[sub(1)] and a; III. Equations for α[sub(2)] and e; IV. Equations for α[sub(3)] and I; V. Equations for β[sub(3)] = Ω; VI. Equations for β[sub(2)] = ω; VII. Equations for β[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)VIII. The 0 Solution for m > 0Progress in astronautics and aeronautics ;v. 177.Orbital mechanicsCelestial mechanicsAstrodynamicsOrbital mechanics.Celestial mechanics.Astrodynamics.629.4/113Vinti John P(John Pascal),1907-1514972Der Gim J1514973Bonavito Nino L1514974MiAaPQMiAaPQMiAaPQBOOK9910781411803321Orbital and celestial mechanics3750470UNINA