Analytical Mechanics of Space Systems
Title | Analytical Mechanics of Space Systems PDF eBook |
Author | Hanspeter Schaub |
Publisher | AIAA |
Pages | 744 |
Release | 2003 |
Genre | Celestial mechanics |
ISBN | 9781600860270 |
Analytical Mechanics of Space Systems
Title | Analytical Mechanics of Space Systems PDF eBook |
Author | Hanspeter Schaub |
Publisher | AIAA (American Institute of Aeronautics & Astronautics) |
Pages | 0 |
Release | 2014 |
Genre | Celestial mechanics |
ISBN | 9781624102400 |
The Analytical Mechanics of Space Systems, Third Edition provides comprehensive treatment of the dynamics of space systems, starting with the fundamentals and covering topics from basic kinematics and dynamics to more advanced celestial mechanics. Taking a tutorial approach, the text guides the reader through the various derivations and proofs to explain the principles underlying the equations at issue and shows how to apply them to various dynamical systems. Part I covers analytical treatment of basic dynamic principles through advanced energy concepts, including use of rotating reference frames that often occur in aerospace systems. Part II covers basic celestial mechanics, treating the two-body problem, restricted three-body problem, gravity field modeling, perturbation methods, spacecraft formation flying, and orbit transfers. MATLAB®, Mathematica®, Python, and C-Code toolboxes arc provided for rigid body kinematics routines and basic two-body orbital mechanics routines. Topics Discussed, The third edition streamlines presentation by including additional examples, homework problems, and illustrations. It includes expanded discussion on, Numerically integrating MRPs and using heading measurements and evaluating a three-dimensional orientation, Numerically integrating the complex VSCMG differential equations of motion The Lyapunov function and stability definitions, Implementing a rate-based attitude servo control solution, and integrating an integral feedback component with a reaction-wheel-based attitude control, featuring new examples, Developing acceleration-based VSCMG steering laws for three-axis attitude control developments, New Appendix I describes how to implement Kalman filter estimating MRP coordinates in a nonsingular fashion Book jacket.
Spacecraft Attitude Dynamics
Title | Spacecraft Attitude Dynamics PDF eBook |
Author | Peter C. Hughes |
Publisher | Courier Corporation |
Pages | 594 |
Release | 2012-05-23 |
Genre | Science |
ISBN | 048614013X |
Comprehensive coverage includes environmental torques, energy dissipation, motion equations for four archetypical systems, orientation parameters, illustrations of key concepts with on-orbit flight data, and typical engineering hardware. 1986 edition.
Analytical Mechanics
Title | Analytical Mechanics PDF eBook |
Author | Carl S. Helrich |
Publisher | Springer |
Pages | 359 |
Release | 2016-10-01 |
Genre | Science |
ISBN | 3319444913 |
This advanced undergraduate textbook begins with the Lagrangian formulation of Analytical Mechanics and then passes directly to the Hamiltonian formulation and the canonical equations, with constraints incorporated through Lagrange multipliers. Hamilton's Principle and the canonical equations remain the basis of the remainder of the text. Topics considered for applications include small oscillations, motion in electric and magnetic fields, and rigid body dynamics. The Hamilton-Jacobi approach is developed with special attention to the canonical transformation in order to provide a smooth and logical transition into the study of complex and chaotic systems. Finally the text has a careful treatment of relativistic mechanics and the requirement of Lorentz invariance. The text is enriched with an outline of the history of mechanics, which particularly outlines the importance of the work of Euler, Lagrange, Hamilton and Jacobi. Numerous exercises with solutions support the exceptionally clear and concise treatment of Analytical Mechanics.
Analytical Mechanics
Title | Analytical Mechanics PDF eBook |
Author | Louis N. Hand |
Publisher | Cambridge University Press |
Pages | 569 |
Release | 1998-11-13 |
Genre | Science |
ISBN | 1139643312 |
Analytical Mechanics, first published in 1999, provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and prepares the reader thoroughly for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian mechanics early on in the book and go on to cover such topics as linear oscillators, planetary orbits, rigid-body motion, small vibrations, nonlinear dynamics, chaos, and special relativity. A special feature is the inclusion of many 'e-mail questions', which are intended to facilitate dialogue between the student and instructor. Many worked examples are given, and there are 250 homework exercises to help students gain confidence and proficiency in problem-solving. It is an ideal textbook for undergraduate courses in classical mechanics, and provides a sound foundation for graduate study.
Analytical Mechanics
Title | Analytical Mechanics PDF eBook |
Author | A.I. Lurie |
Publisher | Springer Science & Business Media |
Pages | 859 |
Release | 2013-03-09 |
Genre | Technology & Engineering |
ISBN | 3540456775 |
This is a translation of A.I. Lurie’s classical Russian textbook on analytical mechanics. It offers a consummate exposition of the subject of analytical mechanics through a deep analysis of its most fundamental concepts. The book has served as a desk text for at least two generations of researchers working in those fields where the Soviet Union accomplished the greatest technological breakthrough of the 20th century - a race into space. Those and other related fields continue to be intensively explored since then, and the book clearly demonstrates how the fundamental concepts of mechanics work in the context of up-to-date engineering problems.
Analytical Mechanics
Title | Analytical Mechanics PDF eBook |
Author | John G. Papastavridis |
Publisher | World Scientific Publishing Company Incorporated |
Pages | 1392 |
Release | 2014 |
Genre | Mathematics |
ISBN | 9789814338714 |
This is a comprehensive, state-of-the-art, treatise on the energetic mechanics of Lagrange and Hamilton, that is, classical analytical dynamics, and its principal applications to constrained systems (contact, rolling, and servoconstraints). It is a book on advanced dynamics from a unified viewpoint, namely, the kinetic principle of virtual work, or principle of Lagrange. As such, it continues, renovates, and expands the grand tradition laid by such mechanics masters as Appell, Maggi, Whittaker, Heun, Hamel, Chetaev, Synge, Pars, Luré, Gantmacher, Neimark, and Fufaev. Many completely solved examples complement the theory, along with many problems (all of the latter with their answers and many of them with hints). Although written at an advanced level, the topics covered in this 1400-page volume (the most extensive ever written on analytical mechanics) are eminently readable and inclusive. It is of interest to engineers, physicists, and mathematicians; advanced undergraduate and graduate students and teachers; researchers and professionals; all will find this encyclopedic work an extraordinary asset; for classroom use or self-study. In this edition, corrections (of the original edition, 2002) have been incorporated.