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…mehr
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.
I: Key Note Address.- New Nondeterministic Celestial Mechanics.- II: General Celestial Mechanics.- Periodic Solution of the Three-Dimensional Restricted Three Body Problem Representing Analytic Continuation of Keplerian Rectilinear Periodic Motion.- Stability of Lagrange's Particular Solution in the Plane Photogravitational Unrestricted Problem of Three Bodies.- The Nature of the Critical Inclinations in Artificial Satellite Theory.- An Extension of Jacobian Constant.- On the Last Brown Conjecture.- Qualitative Study of N-Body Problem: Unitized Momentum Transformation and its Application.- On Finite Periodic Orbits Around the Equilateral Solutions of the Planar Restricted Three-Body Problem.- Stability of Time Varying Linear Systems.- A New Transformation of the Two-Body Problem to Oscillator Form.- III: Solar System and Natural Satellites.- Stability of Motions of Asteroids.- On the Possibility of a "CUCKOO-EFFECT" in the Earth-Moon System.- Influence of Planetary Motion and Radial Alignment of Planets on Sun.- Stability and Evolution of the Minor Bodies of the Solar System.- IV: Stellar Systems and Galaxies.- Trajectory of Space - Like Particles in a Schwarzchild Field.- The Dynamics of Satellite Stellar Systems.- Orbital Evolution of Massive Close Binary Under the Influence of Small Bodies.- Dynamical Systems with Simple Periodic Solutions.- Extragalactic Celestial Mechanics: The Equation of Evolution.- Small Oscillations of Collisionless Gravitating Systems.- Numerical Experiments on the Formation of Tails and Bridges in Galaxies.- V: Orbit Determination and Satellite Theory.- Injection State Vector Estimation from Flight Data Analysis of a Spinning Apogee Stage.- Second Order Solution of a Radial Intermediary in Satellite Theory.- Utilization of AnalyticalMethods for Orbit Determination in High Accuracy Geodetic Positioning.- Analytical Drag Theory of an Artificial Satellite with Small Eccentricity.- A Refined Analysis of the Perturbations on Lageos.- A Computer Program for Orbit Determination Using the Kalman Filter Approach.- Non-linear Planar Oscillation of a Satellite in Elliptical orbit under the Influence of External Forces of General Nature.- Early Orbit Determination Using U-D Covariance Propagation Filter.- VI: Attitude Motion.- Satellite Attitude Acquisition by a Momentum Bias System.- Observer Based Design of Normal Mode Attitude Control for IRS Satellite.- Magnetic Yaw-Roll Control and Momentum Dumping for SROSS.- Attitude Determination of the HIPPARCOS Satellite.- Attitude Determination of a Powered Launch Vehicle Stage With Conventional Satellite Sensors.- VII: Mission Planning and Control.- Some Aspects of Jettisoning Dynamics Related to Launch Vehicle.- Zoom Software: Error Analysis and Accurate Orbit Restitution at CNES.- Orbit Correction Using Jefferys' Method of Least Squares.- Station Keeping Strategy Test, Design and Optimization by Computer Simulation.- Optimal Injection into Near Synchronous Orbit by Three Apogee Motor Burns Accounting for Operational Constraints and Execution Errors.- New Results on Proportional Navigation Trajectories.- Resolution.- Author Index.
I: Key Note Address.- New Nondeterministic Celestial Mechanics.- II: General Celestial Mechanics.- Periodic Solution of the Three-Dimensional Restricted Three Body Problem Representing Analytic Continuation of Keplerian Rectilinear Periodic Motion.- Stability of Lagrange's Particular Solution in the Plane Photogravitational Unrestricted Problem of Three Bodies.- The Nature of the Critical Inclinations in Artificial Satellite Theory.- An Extension of Jacobian Constant.- On the Last Brown Conjecture.- Qualitative Study of N-Body Problem: Unitized Momentum Transformation and its Application.- On Finite Periodic Orbits Around the Equilateral Solutions of the Planar Restricted Three-Body Problem.- Stability of Time Varying Linear Systems.- A New Transformation of the Two-Body Problem to Oscillator Form.- III: Solar System and Natural Satellites.- Stability of Motions of Asteroids.- On the Possibility of a "CUCKOO-EFFECT" in the Earth-Moon System.- Influence of Planetary Motion and Radial Alignment of Planets on Sun.- Stability and Evolution of the Minor Bodies of the Solar System.- IV: Stellar Systems and Galaxies.- Trajectory of Space - Like Particles in a Schwarzchild Field.- The Dynamics of Satellite Stellar Systems.- Orbital Evolution of Massive Close Binary Under the Influence of Small Bodies.- Dynamical Systems with Simple Periodic Solutions.- Extragalactic Celestial Mechanics: The Equation of Evolution.- Small Oscillations of Collisionless Gravitating Systems.- Numerical Experiments on the Formation of Tails and Bridges in Galaxies.- V: Orbit Determination and Satellite Theory.- Injection State Vector Estimation from Flight Data Analysis of a Spinning Apogee Stage.- Second Order Solution of a Radial Intermediary in Satellite Theory.- Utilization of AnalyticalMethods for Orbit Determination in High Accuracy Geodetic Positioning.- Analytical Drag Theory of an Artificial Satellite with Small Eccentricity.- A Refined Analysis of the Perturbations on Lageos.- A Computer Program for Orbit Determination Using the Kalman Filter Approach.- Non-linear Planar Oscillation of a Satellite in Elliptical orbit under the Influence of External Forces of General Nature.- Early Orbit Determination Using U-D Covariance Propagation Filter.- VI: Attitude Motion.- Satellite Attitude Acquisition by a Momentum Bias System.- Observer Based Design of Normal Mode Attitude Control for IRS Satellite.- Magnetic Yaw-Roll Control and Momentum Dumping for SROSS.- Attitude Determination of the HIPPARCOS Satellite.- Attitude Determination of a Powered Launch Vehicle Stage With Conventional Satellite Sensors.- VII: Mission Planning and Control.- Some Aspects of Jettisoning Dynamics Related to Launch Vehicle.- Zoom Software: Error Analysis and Accurate Orbit Restitution at CNES.- Orbit Correction Using Jefferys' Method of Least Squares.- Station Keeping Strategy Test, Design and Optimization by Computer Simulation.- Optimal Injection into Near Synchronous Orbit by Three Apogee Motor Burns Accounting for Operational Constraints and Execution Errors.- New Results on Proportional Navigation Trajectories.- Resolution.- Author Index.
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