Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction write by Martín Lara. This book was released on 2021-05-10. Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction available in PDF, EPUB and Kindle. "Analytical solutions to the orbital motion of celestial objects have been nowadays mostly replaced by numerical solutions, but they are still irreplaceable whenever speed is to be preferred to accuracy, or to simplify a dynamical model. In this book, the most common orbital perturbations problems are discussed according to the Lie transforms method, which is the de facto standard in analytical orbital motion calculations"--Print version, page 4 of cover.
Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction
Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction write by Martín Lara. This book was released on 2021-05-10. Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction available in PDF, EPUB and Kindle. Analytical solutions to the orbital motion of celestial objects have been nowadays mostly replaced by numerical solutions, but they are still irreplaceable whenever speed is to be preferred to accuracy, or to simplify a dynamical model. In this book, the most common orbital perturbations problems are discussed according to the Lie transforms method, which is the de facto standard in analytical orbital motion calculations.
Advances in Nonlinear Dynamics, Volume I
Advances in Nonlinear Dynamics, Volume I - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Advances in Nonlinear Dynamics, Volume I write by Walter Lacarbonara. This book was released on 2023. Advances in Nonlinear Dynamics, Volume I available in PDF, EPUB and Kindle. Zusammenfassung: This volume aims to present the latest advancements in experimental, analytical, and numerical methodologies aimed at exploring the nonlinear dynamics of diverse systems across varying length and time scales. It delves into the following topics: Methodologies for nonlinear dynamic analysis (harmonic balance, asymptotic techniques, enhanced time integration) Data-driven dynamics, machine learning techniques Exploration of bifurcations and nonsmooth systems Nonlinear phenomena in mechanical systems and structures Experimental dynamics, system identification, and monitoring techniques Fluid-structure interaction Dynamics of multibody systems Turning processes, rotating systems, and systems with time delays
Scientific and Technical Aerospace Reports
Scientific and Technical Aerospace Reports - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Scientific and Technical Aerospace Reports write by . This book was released on 1967. Scientific and Technical Aerospace Reports available in PDF, EPUB and Kindle.
Hamiltonian Perturbation Theory for Ultra-Differentiable Functions
Hamiltonian Perturbation Theory for Ultra-Differentiable Functions - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hamiltonian Perturbation Theory for Ultra-Differentiable Functions write by Abed Bounemoura. This book was released on 2021-07-21. Hamiltonian Perturbation Theory for Ultra-Differentiable Functions available in PDF, EPUB and Kindle. Some scales of spaces of ultra-differentiable functions are introduced, having good stability properties with respect to infinitely many derivatives and compositions. They are well-suited for solving non-linear functional equations by means of hard implicit function theorems. They comprise Gevrey functions and thus, as a limiting case, analytic functions. Using majorizing series, we manage to characterize them in terms of a real sequence M bounding the growth of derivatives. In this functional setting, we prove two fundamental results of Hamiltonian perturbation theory: the invariant torus theorem, where the invariant torus remains ultra-differentiable under the assumption that its frequency satisfies some arithmetic condition which we call BRM, and which generalizes the Bruno-R¨ussmann condition; and Nekhoroshev’s theorem, where the stability time depends on the ultra-differentiable class of the pertubation, through the same sequence M. Our proof uses periodic averaging, while a substitute for the analyticity width allows us to bypass analytic smoothing. We also prove converse statements on the destruction of invariant tori and on the existence of diffusing orbits with ultra-differentiable perturbations, by respectively mimicking a construction of Bessi (in the analytic category) and MarcoSauzin (in the Gevrey non-analytic category). When the perturbation space satisfies some additional condition (we then call it matching), we manage to narrow the gap between stability hypotheses (e.g. the BRM condition) and instability hypotheses, thus circumbscribing the stability threshold. The formulas relating the growth M of derivatives of the perturbation on the one hand, and the arithmetics of robust frequencies or the stability time on the other hand, bring light to the competition between stability properties of nearly integrable systems and the distance to integrability. Due to our method of proof using width of regularity as a regularizing parameter, these formulas are closer to optimal as the the regularity tends to analyticity
