Space Dynamics and Celestial Mechanics : Proceedings of the International Workshop, Delhi, India, 14–16 November 1985

Front Matter....Pages i-xxv Front Matter....Pages 1-1 New Nondeterministic Celestial Mechanics....Pages 3-14 Front Matter....Pages 15-15 Periodic Solution of the Three-Dimensional Restricted Three Body Problem Representing Analytic Continuation of Keplerian Rectilinear Periodic Motion....Pages 17-25 Stability of Lagrange’s Particular Solution in the Plane Photogravitational Unrestricted Problem of Three Bodies....Pages 27-38 The Nature of the Critical Inclinations in Artificial Satellite Theory....Pages 39-52 An Extension of Jacobian Constant....Pages 53-57 On the Last Brown Conjecture....Pages 59-59 Qualitative Study of N-Body Problem: Unitized Momentum Transformation and its Application....Pages 61-69 On Finite Periodic Orbits Around the Equilateral Solutions of the Planar Restricted Three-Body Problem....Pages 71-85 Stability of Time Varying Linear Systems....Pages 87-101 A New Transformation of the Two-Body Problem to Oscillator Form....Pages 103-110 Front Matter....Pages 111-111 Stability of Motions of Asteroids....Pages 113-128 On the Possibility of a “Cuckoo-Effect” in the Earth-Moon System....Pages 129-141 Influence of Planetary Motion and Radial Alignment of Planets on Sun....Pages 143-154 Stability and Evolution of the Minor Bodies of the Solar System....Pages 155-163 Front Matter....Pages 165-165 Trajectory of Space — Like Particles in a Schwarzchild Field....Pages 167-170 The Dynamics of Satellite Stellar Systems....Pages 171-179 Orbital Evolution of Massive Close Binary Under the Influence of Small Bodies....Pages 181-195 Dynamical Systems with Simple Periodic Solutions....Pages 197-202 Extragalactic Celestial Mechanics: The Equation of Evolution....Pages 203-219 Small Oscillations of Collisionless Gravitating Systems....Pages 221-227 Front Matter....Pages 165-165 Numerical Experiments on the Formation of Tails and Bridges in Galaxies....Pages 229-236 Front Matter....Pages 237-237 Injection State Vector Estimation from Flight Data Analysis of a Spinning Apogee Stage....Pages 239-242 Second Order Solution of a Radial Intermediary in Satellite Theory....Pages 243-253 Utilization of Analytical Methods for Orbit Determination in High Accuracy Geodetic Positioning....Pages 255-260 Analytical Drag Theory of an Artificial Satellite with Small Eccentricity....Pages 261-272 A Refined Analysis of the Perturbations on Lageos....Pages 273-279 A Computer Program for Orbit Determination Using the Kalman Filter Approach....Pages 281-294 Non-linear Planar Oscillation of a Satellite in Elliptical Orbit Under the Influence of External Forces of General Nature....Pages 295-307 Early Orbit Determination Using U-D Covariance Propagation Filter....Pages 309-318 Front Matter....Pages 319-319 Satellite Attitude Acquisition by a Momentum Bias System....Pages 321-326 Observer Based Design of Normal Mode Attitude Control for IRS Satellite....Pages 327-334 Magnetic Yaw-Roll Control and Momentum Dumping for SROSS....Pages 335-344 Attitude Determination of the HIPPARCOS Satellite....Pages 345-354 Attitude Determination of a Powered Launch Vehicle Stage with Conventional Satellite Sensors....Pages 355-365 Front Matter....Pages 367-367 Some Aspects of Jettisoning Dynamics Related to Launch Vehicle....Pages 369-379 Zoom Software: Error Analysis and Accurate Orbit Restitution at CNES....Pages 381-398 Orbit Correction Using Jefferys’ Method of Least Squares....Pages 399-410 Station Keeping Strategy Test, Design and Optimization by Computer Simulation....Pages 411-412 Optimal Injection into Near Synchronous Orbit by Three Apogee Motor Burns Accounting for Operational Constraints and Execution Errors....Pages 413-428 New Results on Proportional Navigation Trajectories....Pages 429-437 Back Matter....Pages 439-458 This volume contains the detailed text of the lectures delivered at the International Workshop on Space Dynamics and e·elestial Mechanics held in Delhi, India during November 14-16,1985. This workshop was organised under the joint sponsorship of University of Delhi, Delhi, Vikram Sarabhai Space Centre, Trivandrum (India) and the Space Programme of the University of Texas at Austin, Austin, USA. The main objective of the workshop was to review the current state of the art in the area of Space .Dynamics and Celestial Mechanics thr ough paper presentations, key note addresses, lectures and discussions, to expose the participants to more recent developments in varjous tech niques, analytical as well as numerical, as applicable to Space Mecha nics, to identify and assess the degree of augmentations desirable in respect of software packages available for this purpose with different centres and to establish contacts with experts in the vital field with a view to facilitate the in flow of technical inf~rmation. The whole material of this volume has been organized into seven basic areas: (i) The key note address by Professor V. Szebehely, (ii) General Celestial Mechanics, (~ii) Solar System and Natural Satellites, (iv) Stellar Systems and Galaxies, (v) Orbit Determination and Satellite Theory, (vi) Attitude Motion and (vii) Mission Planning and Control