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Analytical Mechanics of Space Systems, Fourth Edition (AIAA Education Series),Used
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Analytical Mechanics of Space Systems, Fourth Edition provides comprehensive treatment of 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 twobody problem, restricted threebody problem, gravity field modeling, perturbation methods, spacecraft formation flying, and orbit transfers. MATLAB, Mathematica, Python, and CCode toolboxes are provided for rigid body kinematics routines and basic orbital 2body orbital mechanics routines.Table of ContentsPART 1 BASIC MECHANICSChapter 1 Particle KinematicsChapter 2 Newtonian MechanicsChapter 3 Rigid Body KinematicsChapter 4 Eulerian MechanicsChapter 5 Generalized Methods of Analytical DynamicsChapter 6 Variational Methods in Analytical DynamicsChapter 7 Hamilton's Generalized Formulations of Analytical DynamicsChapter 8 Nonlinear Spacecraft Stability and ControlPART 2 CELESTIAL MECHANICSChapter 9 Classical TwoBody ProblemChapter 10 Restricted ThreeBody ProblemChapter 11 Gravitational Potential Field ModelsChapter 12 Perturbation MethodsChapter 13 Transfer OrbitsChapter 14 Spacecraft Formation FlyingAppendix A Transport Theorem Derivation Using Linear AlgebraAppendix B Various Euler Angle TransformationsAppendix C MRP Identity ProofAppendix D Conic Section TransformationsAppendix E Numerical Subroutines LibraryAppendix F FirstOrder Mapping Between Mean and Osculating Orbit ElementsAppendix G Direct Linear Mapping Between Cartesian Hill Frame Coordinates and Orbit Element DifferencesAppendix H Hamel Coefficients for the Rotational Motion of a Rigid BodyAppendix I MRP Kalman FilterIndexSupporting Materials
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