Download or read book Applied Orbit Perturbation and Maintenance written by Chia-Chun Chao and published by . This book was released on 2005 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the start of the space age more than 50 years ago, various space technology applications - including communication, navigation, and remote sensing - have advanced significantly. To meet the challenges in each application category, special orbits such as geo-stationary, semi-synchronous, Molniya, sun-synchronous, and frozen have been invented or selected. Although a good number of texts on the principles and applications of astrodynamics have been published, a book is needed to summarize the perturbation theories and control, or station keeping, algorithms for understanding the dynamics, stability, and maintenance of those orbits. Applied Orbit Perturbations and Maintenance was written to meet that need. It summarizes, in appropriate technical and mathematical detail, perturbation theories and station keeping algorithms for various types of mission orbits and constellations. Space mission designers/analysts and systems engineers will put this book to great use.
Download or read book Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction written by Martín Lara and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-05-10 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.
Download or read book Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction written by Martín Lara and published by Walter de Gruyter GmbH & Co KG. This book was released on 2021-05-10 with total page 394 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Astronomy written by and published by PediaPress. This book was released on with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Orbital Perturbations written by James M. Longuski and published by Springer Nature. This book was released on 2022-03-01 with total page 349 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides details of the derivation of Lagrange's planetary equations and of the closely related Gauss's variational equations, thereby covering a sorely needed topic in existing literature. Analytical solutions can help verify the results of numerical work, giving one confidence that his or her analysis is correct. The authors—all experienced experts in astrodynamics and space missions—take on the massive derivation problem step by step in order to help readers identify and understand possible analytical solutions in their own endeavors. The stages are elementary yet rigorous; suggested student research project topics are provided. After deriving the variational equations, the authors apply them to many interesting problems, including the Earth-Moon system, the effect of an oblate planet, the perturbation of Mercury's orbit due to General Relativity, and the perturbation due to atmospheric drag. Along the way, they introduce several useful techniques such as averaging, Poincaré's method of small parameters, and variation of parameters. In the end, this textbook will help students, practicing engineers, and professionals across the fields of astrodynamics, astronomy, dynamics, physics, planetary science, spacecraft missions, and others. “An extensive, detailed, yet still easy-to-follow presentation of the field of orbital perturbations.” - Prof. Hanspeter Schaub, Smead Aerospace Engineering Sciences Department, University of Colorado, Boulder “This book, based on decades of teaching experience, is an invaluable resource for aerospace engineering students and practitioners alike who need an in-depth understanding of the equations they use.” - Dr. Jean Albert Kéchichian, The Aerospace Corporation, Retired “Today we look at perturbations through the lens of the modern computer. But knowing the why and the how is equally important. In this well organized and thorough compendium of equations and derivations, the authors bring some of the relevant gems from the past back into the contemporary literature.” - Dr. David A Vallado, Senior Research Astrodynamicist, COMSPOC “The book presentation is with the thoroughness that one always sees with these authors. Their theoretical development is followed with a set of Earth orbiting and Solar System examples demonstrating the application of Lagrange’s planetary equations for systems with both conservative and nonconservative forces, some of which are not seen in orbital mechanics books.” - Prof. Kyle T. Alfriend, University Distinguished Professor, Texas A&M University
Download or read book The Primordial Density Perturbation written by David H. Lyth and published by Cambridge University Press. This book was released on 2009-06-11 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: The origin and evolution of the primordial perturbation is key to understanding structure formation in the earliest stages of the Universe. Giving a thorough account of theoretical cosmology and perturbations in the early Universe, this graduate-level textbook describes their observational consequences and how such observations relate to primordial physical processes.
Download or read book A First Look at Perturbation Theory written by James G. Simmonds and published by Courier Corporation. This book was released on 2013-07-04 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: Undergraduates in engineering and the physical sciences receive a thorough introduction to perturbation theory in this useful and accessible text. Students discover methods for obtaining an approximate solution of a mathematical problem by exploiting the presence of a small, dimensionless parameter — the smaller the parameter, the more accurate the approximate solution. Knowledge of perturbation theory offers a twofold benefit: approximate solutions often reveal the exact solution's essential dependence on specified parameters; also, some problems resistant to numerical solutions may yield to perturbation methods. In fact, numerical and perturbation methods can be combined in a complementary way. The text opens with a well-defined treatment of finding the roots of polynomials whose coefficients contain a small parameter. Proceeding to differential equations, the authors explain many techniques for handling perturbations that reorder the equations or involve an unbounded independent variable. Two disparate practical problems that can be solved efficiently with perturbation methods conclude the volume. Written in an informal style that moves from specific examples to general principles, this elementary text emphasizes the "why" along with the "how"; prerequisites include a knowledge of one-variable calculus and ordinary differential equations. This newly revised second edition features an additional appendix concerning the approximate evaluation of integrals.
Download or read book Canonical Perturbation Theories written by Sylvio Ferraz-Mello and published by Springer Science & Business Media. This book was released on 2007-05-30 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is written mainly to advanced graduate and post-graduate students following courses in Perturbation Theory and Celestial Mechanics. It is also intended to serve as a guide in research work and is written in a very explicit way: all perturbation theories are given with details allowing its immediate application to real problems. In addition, they are followed by examples showing all steps of their application.
Download or read book Astronomy on the Personal Computer written by Oliver Montenbruck and published by Springer. This book was released on 2013-06-29 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: This long-awaited new edition of Montenbruck and Pfleger's successful book now includes chapters on perturbation calculations and on the calculation of physical ephemerides of the major planets and the sun. The book provides the reader with numerous programs and instructions for time and date calculation and for treating the two-body problem. Each chapter is carefully structured according to topic and closes with the listing of a relevant program, thereby facilitating its use as a practical handbook. The necessary astronomical and numerical fundamentals are also included in the text. The accompanying diskette has equally been completely revised.
Download or read book Spherical Astronomy written by Robin M. Green and published by Cambridge University Press. This book was released on 1985-10-31 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: This introductory textbook assumes no prior knowledge of classical astronomy but is sufficiently comprehensive to be useful as a background reference work. It provides the essential background on mathematical technique and coordinate systems and discusses in detail, refraction, aberration, stellar parallax, precession, nutation and proper motion.
Download or read book Astrodynamics Orbit correction perturbation theory integration written by Samuel Herrick and published by . This book was released on 1971 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Library of Congress Subject Headings written by Library of Congress. Cataloging Policy and Support Office and published by . This book was released on 2003 with total page 1808 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monthly Catalog of United States Government Publications written by and published by . This book was released on with total page 1168 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Monthly Catalogue United States Public Documents written by and published by . This book was released on 1995 with total page 1208 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Impact of Modern Dynamics in Astronomy written by Jacques Henrard and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modem dynamics is increasingly participating in the solution of problems raised by as tronomical observations. This new relationship is being fostered on one side by the im provements in the observations, which in recent years contributed several discoveries of new systems, such as the objects in the Kuiper belt, the pulsar and star companions, to speak only of the most striking ones, and, on the other hand, by the progresses in modem dynamics. The progresses in modem dynamics are due to two factors: the dissemination of fast computers, allowing the numerical studies of very complex systems by a large number of scientists, and the improvement in our understanding of the complex behaviour of Hamiltonian systems. KAM and Nekhorochev theories have shed a light on the subtle and surprizing interplays between regular and chaotic motions; numerical experiments and analytical approximations have shown how these peculiarities are indeed present in astronomically important systems and are instrumental in understanding their formation and evolution.
Download or read book Delta N Formalism In Cosmological Perturbation Theory written by Ali Akbar Abolhasani and published by World Scientific. This book was released on 2019-01-30 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: Early Universe cosmology is an active area of research and cosmic inflation is a pillar of modern cosmology. Among predictions of inflation, observationally the most important one is the generation of cosmological perturbations from quantum vacuum fluctuations that source all inhomogeneous structures in the Universe, not to mention the large-scale structures such as clusters of galaxies.Cosmological perturbation theory is the basic tool to study the perturbations generated from inflation. There are a few different approaches to primordial cosmological perturbations. In the conventional approach one perturbs the field equations and after quantizing the perturbations by the use of the corresponding action, one calculates the power spectrum of cosmological observables. This approach extends to higher order perturbations such as bispectrum etc., but the analysis becomes increasingly difficult.The delta N formalism, the topic of this book, is an alternative approach. The novelty of this approach is that, under the condition that the scale of interest is very large so that the spatial derivatives may be ignored in the dynamics, it can be applied to all orders in perturbation theory and has a rigorous foundation in general relativity. Thanks to the fact that one can evaluate perturbations with only the knowledge of background solutions, it is proved to be much easier than the conventional approach in evaluating higher order effects in many cases.
Download or read book Library of Congress Subject Headings written by Library of Congress and published by . This book was released on 2013 with total page 1624 pages. Available in PDF, EPUB and Kindle. Book excerpt:
