Celestial dynamics at high eccentricities
By: Victor A. Brumberg and Eugene V. Brumberg.
Contributors: Brumberg, Eugene V.
Series: Advances in astronomy and astrophysics ;; v. 3; Advances in astronomy and astrophysics (Gordon and Breach Science Publishers) ;; v. 3.
Publisher: Gordon and Breach
Published: 1999
Place of publication: Amsterdam
Language: eng
Number of pages: 212
Subjects: Orbits.; Celestial mechanics.
Notes: Includes bibliographical references and index.
Table of contents: title: Machine generated contents note: Introduction 1; title: 1 Elliptic Anomaly in the Two-Body Problem; title: 1.1 Length of Arc in Elliptic Motion 7; title: 1.2 Solution of the Elliptic Two-Body Problem in Closed Form 12; title: 1.3 Trigonometric Expansions in Multiples of the Elliptic Anomaly 17; title: 1.4 Nome Functions 29; title: 1.5 Recurrence Relations for Nome Functions 43; title: 1.6 Hyperbolic and Parabolic Two-Body Problem 56; title: 2 Elliptic Anomaly in Perturbed Motion; title: 2.1 Lagrange Equations for Osculating Elements 69; title: 2.2 Operator Expansions of Elliptic Motion Functions 79; title: 2.3 Elementary Quadratures to Integrate the Lagrange Equations 94; title: 2.4 Elliptic Anomaly as a Canonical Variable 104; title: 3 Linear Theory of Motion for Highly Eccentric Artificial Satellites; title: 3.1 Expansions of the Disturbing Function and its Derivatives due to the Non- Sphericity of the Primary Body for an Arbitrary Reference Plane 109; title: 3.2 Expansions of the Disturbing Function and its Derivatives due to the Third- Body Attraction 116; title: 3.3 Secular Terms in Angular Variables 122; title: 3.4 First-Order Periodic Perturbations 127; title: 3.5 Main Perturbation Terms in Satellite Motion 129; title: 4 Theory of Motion of Asteroids in Highly Eccentric (Non-Intersecting)Orbits; title: 4.1 Expansion of the Third-Body Disturbing Function 141; title: 4.2 Secular and Periodic Perturbations of Orbital Elements 149; title: 4.3 Main Perturbation Terms in Asteroid Motion 153; title: 5 Theory of Motion of the Objects in Orbits Intersecting in Projection; title: 5.1 Expansion of the Disturbing Function and its Derivatives for Intersecting Orbits 159; title: 5.2 Linear Perturbations of Osculating Elements 173; title: 6 Computational Formulas; title: 6.1 Special Functions I 179; title: 6.2 Special Functions II 192.