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Periodic Orbits, Stability and Resonances
The subjects of resonance and stability are closely related to the problem of evolution of the solar system. It is a physically involving problem and the methods available to mathematics today seem unsatisfactory to produce pure non linear ways of attack. The linearization process in both subjects is clearly of doubtful significance, so that, even if very restrictive, numerical solutions are still the best and more valuable sources of informations. It is quite possible that we know now very little more of the entire problem that was known to Poincare, with the advantage that we can now compute much faster and with much more precision. We feel that the papers collected in this Symposium have ...
Satellite Dynamics
This volume includes original papers presented at the 4th Symposium on Satellite Dynamics held at the XII Annual Plenary Meeting of COSPAR. At a time where it might be thought that very few problems were left un solved in celestial mechanics, we discover that new and more challenging questions must be answered. The pre cision of observations reaches the centimeter level and physical phenomena which had been disregarded come into play. We need a better treatment of atmospheric drag, radiation forces, and a better knowledge of the earth's gravitational field. Time has to be precisely defined as well as reference systems, including improved values for precision and nutation. The question of res...
Orbital Motion
Long established as one of the premier references in the fields of astronomy, planetary science, and physics, the fourth edition of Orbital Motion continues to offer comprehensive coverage of the analytical methods of classical celestial mechanics while introducing the recent numerical experiments on the orbital evolution of gravitating masses and the astrodynamics of artificial satellites and interplanetary probes. Following detailed reviews of earlier editions by distinguished lecturers in the USA and Europe, the author has carefully revised and updated this edition. Each chapter provides a thorough introduction to prepare you for more complex concepts, reflecting a consistent perspective ...
Perturbation Methods in Non-Linear Systems
This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differ ential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their ad vantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a...
Perturbation Methods in Non-Linear Systems
This volume is intended to provide a comprehensive treatment of recent developments in methods of perturbation for nonlinear systems of ordinary differ ential equations. In this respect, it appears to be a unique work. The main goal is to describe perturbation techniques, discuss their ad vantages and limitations and give some examples. The approach is founded on analytical and numerical methods of nonlinear mechanics. Attention has been given to the extension of methods to high orders of approximation, required now by the increased accuracy of measurements in all fields of science and technology. The main theorems relevant to each perturbation technique are outlined, but they only provide a...
Space Dynamics and Celestial Mechanics
Proceedings of the International Workshop, Delhi, India, November 14-16, 1985
Satellite Dynamics
None
The Use of Artificial Satellites for Geodesy
Published by the American Geophysical Union as part of the Geophysical Monograph Series, Volume 15. This monograph contains 34 communications presented at the Third International Symposium on the Use of Artificial Satellites for Geodesy in 1971, and 4 invited papers on subjects that complement the others and provide continuity. All contributions represent the most recent findings in the theoretical and applied fields of satellite geodesy, including new instrumentation (satellite sensors and ground equipment) of potential use in satellite geodesy. The two preceding symposiums were held at Washington, D.C., in 1962 and at Athens, Greece, in 1965. The Proceedings of the first were published by North-Holland Publishing Company, Amsterdam, in 1963, and the Proceedings of the second by the National Technical University, Athens, in 1967. The prime mover behind both was George Veis, and his continuing dedication to this subject was in large measure responsible for scheduling this third symposium.
Special Report
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Dynamics and Mission Design Near Libration Points: Fundamentals : the case of triangular libration points
It is well known that the restricted three-body problem has triangular equilibrium points. These points are linearly stable for values of the mass parameter, ?, below Routh's critical value, ?1. It is also known that in the spatial case they are nonlinearly stable, not for all the initial conditions in a neighborhood of the equilibrium points L4, L5 but for a set of relatively large measures. This follows from the celebrated Kolmogorov-Arnold-Moser theorem. In fact there are neighborhoods of computable size for which one obtains ?practical stability? in the sense that the massless particle remains close to the equilibrium point for a big time interval (some millions of years, for example).Ac...
