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Long Term Orbit Propagation Using Symplectic Integration Algorithms
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Book Synopsis Long-term Orbit Propagation Using Symplectic Integration Algorithms by : Koundinya Kuppa
Download or read book Long-term Orbit Propagation Using Symplectic Integration Algorithms written by Koundinya Kuppa and published by . This book was released on 2016 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Understanding the evolution of satellite orbits in the long-term is of great importance in astrodynamics. In order to achieve this, accurate propagation of the orbital dynamics of the satellite is required. This paper presents implementation and evaluation of a class of numerical integration methods known as symplectic algorithms. This class of algorithms is highly regarded in scientific applications, especially in long-term studies. The objective of this paper is to demonstrate the superior accuracy and efficient speed of several algorithms of this class and obtain long-term state of satellites under the several influencing forces. Within each application, several cases with different values for parameters such as the time step and duration are executed. In addition, long-term orbital evolution of a satellite in various orbital regimes is conducted. The results indicate that the symplectic algorithms are more accurate for orbit propagation at various time increments tested. In addition, the symplectic algorithms are more computationally efficient in all but a few cases.
Book Synopsis Moving Planets Around by : Javier Roa
Download or read book Moving Planets Around written by Javier Roa and published by MIT Press. This book was released on 2020-09-01 with total page 379 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to the laws of celestial mechanics and a step-by-step guide to developing software for direct use in astrophysics research. This book offers both an introduction to the laws of celestial mechanics and a step-by-step guide to developing software for direct use in astrophysics research. It bridges the gap between conventional textbooks, which present a rigorous and exhaustive exposition of theoretical concepts, and applying the theory to tackle real experiments. The text is written engagingly in dialogue form, presenting the research journey of the fictional Alice, Bob, and Professor Starmover. Moving Planets Around not only educates students on the laws of Newtonian gravity, it also provides all that they need to start writing their own software, from scratch, for simulating the dynamical evolution of planets and exoplanets, stars, or other heavenly bodies.
Book Synopsis Algorithms for Satellite Orbital Dynamics by : Lin Liu
Download or read book Algorithms for Satellite Orbital Dynamics written by Lin Liu and published by Springer Nature. This book was released on 2023-06-20 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights the fundamental physics of orbit theory, dynamical models, methods of orbit determination, design, measurement, adjustment, and complete calculations for the position, tracking, and prediction of satellites and deep spacecraft. It emphasizes specific methods, related mathematical calculations, and worked examples and exercises. Therefore, technicians and engineers in the aerospace industry can directly apply them to their practical work. Dedicated to undergraduate students and graduate students, researchers, and professionals in astronomy, physics, space science, and related aerospace industries, the book is an integrated work based on the accumulated knowledge in satellite orbit dynamics and the author’s more than five decades of personal research and teaching experience in astronomy and aerospace dynamics.
Book Synopsis High Performance Propagation of Large Object Populations in Earth Orbits by : Marek Möckel
Download or read book High Performance Propagation of Large Object Populations in Earth Orbits written by Marek Möckel and published by Logos Verlag Berlin GmbH. This book was released on 2015-12-31 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orbital debris is becoming an increasing problem for space flight missions. New satellite launches, explosions, collisions and other events cause a steady rise in the number of objects orbiting the Earth. It is therefore important to determine the future development of the object population, as well as the effectiveness of debris mitigation measures, in long-term simulations. Orbital propagation, the calculation of an object's movement in its orbit, poses a challenge for this research due to the high computation times of the complex perturbation models involved. With populations consisting of hundreds of thousands of objects as well as simulation time frames of up to 200 years, these calculations can take up hours of computation time. To speed up this process, the analytical propagator Ikebana is introduced in this work of applied computer science in engineering. The program runs on graphics processing units, hardware designed for massively parallel execution of up to thousands of concurrent threads. This reduces the overall run time for large object populations from hours to minutes. Porting software from a conventional CPU is not a trivial task and involves a number of potential pitfalls and optimization opportunities which are detailed in this work. The propagator is integrated into other applications via a generic, multi-platform interface specifically designed for this task. It allows to develop the propagator separately and integrate it into other tools as a plugin at run time. The interface's architecture serves as a design template for analytical propagation software.
Book Synopsis Structure and Interpretation of Classical Mechanics, second edition by : Gerald Jay Sussman
Download or read book Structure and Interpretation of Classical Mechanics, second edition written by Gerald Jay Sussman and published by MIT Press. This book was released on 2015-02-06 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new edition of a classic text that concentrates on developing general methods for studying the behavior of classical systems, with extensive use of computation. We now know that there is much more to classical mechanics than previously suspected. Derivations of the equations of motion, the focus of traditional presentations of mechanics, are just the beginning. This innovative textbook, now in its second edition, concentrates on developing general methods for studying the behavior of classical systems, whether or not they have a symbolic solution. It focuses on the phenomenon of motion and makes extensive use of computer simulation in its explorations of the topic. It weaves recent discoveries in nonlinear dynamics throughout the text, rather than presenting them as an afterthought. Explorations of phenomena such as the transition to chaos, nonlinear resonances, and resonance overlap to help the student develop appropriate analytic tools for understanding. The book uses computation to constrain notation, to capture and formalize methods, and for simulation and symbolic analysis. The requirement that the computer be able to interpret any expression provides the student with strict and immediate feedback about whether an expression is correctly formulated. This second edition has been updated throughout, with revisions that reflect insights gained by the authors from using the text every year at MIT. In addition, because of substantial software improvements, this edition provides algebraic proofs of more generality than those in the previous edition; this improvement permeates the new edition.
Book Synopsis Continuing Kepler's Quest by : National Research Council
Download or read book Continuing Kepler's Quest written by National Research Council and published by National Academies Press. This book was released on 2012-09-06 with total page 82 pages. Available in PDF, EPUB and Kindle. Book excerpt: In February 2009, the commercial communications satellite Iridium 33 collided with the Russian military communications satellite Cosmos 2251. The collision, which was not the first recorded between two satellites in orbit-but the most recent and alarming-produced thousands of pieces of debris, only a small percentage of which could be tracked by sensors located around the world. In early 2007, China tested a kinetic anti-satellite weapon against one of its own satellites, which also generated substantial amounts of space debris. These collisions highlighted the importance of maintaining accurate knowledge, and the associated uncertainty, of the orbit of each object in space. These data are needed to predict close approaches of space objects and to compute the probability of collision so that owners/operators can decide whether or not to make a collision avoidance maneuver by a spacecraft with such capability. The space object catalog currently contains more than 20,000 objects, and when the planned space fence radar becomes operational this number is expected to exceed 100,000. A key task is to determine if objects might come closer to each other, an event known as "conjunction," and the probability that they might collide. The U.S. Air Force is the primary U.S. government organization tasked with maintaining the space object catalog and data on all space objects. This is a complicated task, involving collecting data from a multitude of different sensors-many of which were not specifically designed to track orbiting objects-and fusing the tracking data along with other data, such as data from atmospheric models, to provide predictions of where objects will be in the future. The Committee for the Assessment of the U.S. Air Force's Astrodynamic Standards collected data and heard from numerous people involved in developing and maintaining the current astrodynamics standards for the Air Force Space Command (AFSPC), as well as representatives of the user community, such as NASA and commercial satellite owners and operators. Preventing collisions of space objects, regardless of their ownership, is in the national security interested of the United States. Continuing Kepler's Quest makes recommendations to the AFSPC in order for it to create and expand research programs, design and develop hardware and software, as well as determine which organizations to work with to achieve its goals.
Book Synopsis Journal of Guidance, Control, and Dynamics by :
Download or read book Journal of Guidance, Control, and Dynamics written by and published by . This book was released on 2007 with total page 1244 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Astronomisches Rechen-Institut Publisher :Springer Science & Business Media ISBN 13 :3662123762 Total Pages :1592 pages Book Rating :4.6/5 (621 download)
Book Synopsis Literature 1991, Part 2 by : Astronomisches Rechen-Institut
Download or read book Literature 1991, Part 2 written by Astronomisches Rechen-Institut and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 1592 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Astronomy and Astrophysics Abstracts" appearing twice a year has become oneof the fundamental publications in the fields of astronomy, astrophysics andneighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. The abstrats are classified under more than a hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world.
Book Synopsis Long Term Orbital Modeling for Objects in Geostationary Earth Orbit by : Philip Chow
Download or read book Long Term Orbital Modeling for Objects in Geostationary Earth Orbit written by Philip Chow and published by . This book was released on 2015 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: The suitability of different numerical integrators for the long term orbital modeling of asatellite in geostationary Earth orbit is examined. The integrators used are the ODE45 Runge-Kutta Method from MATLAB and the symplectic Euler method, assuming only sphericalharmonics of the Earth and n-body perturbations from the Sun, Moon, and other planets. Resultsshow that the energy drift associated with both integrators makes them unsuitable for long termmodeling, and that the symplectic Euler method does not actually maintain constant energy. Apossible factor in the energy drift of both integrators includes the model used for n-bodyperturbations; future work should focus on determining the extent that this affected the resultsand the steps necessary to correct the errors.
Book Synopsis Geometric Numerical Integration by : Ernst Hairer
Download or read book Geometric Numerical Integration written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 526 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book deals with numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by numerous figures, treats applications from physics and astronomy, and contains many numerical experiments and comparisons of different approaches.
Book Synopsis Satellite Orbits by : Oliver Montenbruck
Download or read book Satellite Orbits written by Oliver Montenbruck and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This modern presentation guides readers through the theory and practice of satellite orbit prediction and determination. Starting from the basic principles of orbital mechanics, it covers elaborate force models as well as precise methods of satellite tracking. The accompanying CD-ROM includes source code in C++ and relevant data files for applications. The result is a powerful and unique spaceflight dynamics library, which allows users to easily create software extensions. An extensive collection of frequently updated Internet resources is provided through WWW hyperlinks.
Book Synopsis New Developments in the Dynamics of Planetary Systems by : Rudolf Dvorak
Download or read book New Developments in the Dynamics of Planetary Systems written by Rudolf Dvorak and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 375 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is now a well-established tradition that every four years, at the end of winter, a group of 'celestial mechanicians' from all over the world gather in the Austrian Alps at the invitation of R. Dvorak. This time the colloquium was held at Badhofgastein from March 19 to March 25, 2000 and was devoted to the 'New Developments in the Dynamics of Planetary Systems'. The papers covered a large range of questions of current interest: t- oretical questions (resonances, KAM theory, transport, ... ) and questions about numerical tools (synthetic elements, indicators of chaos, ... ) were particularly well represented; of course planetary theories and Near Earth Objects were also quite popular. Three special lectures were delivered in honor of deceased colleagues whom, to our dismay, we will no longer meet at the 'Austrian Colloquia'. W. Jefferys delivered the Heinrich Eichhorn lecture on 'Statistics for the Twenty-first Century Astrometry', a topic on which Heinrich Eichhorn was a specialist. A. Roy delivered a lecture honoring Victor Szehebely on 'Lifting the Darkness: Science in the Third Millenium', in which in wove anecdotes and remembrances of Victor which moved the audience very much. A. Lemaitre spoke in honor of Michele Moons on 'Mech anism of Capture in External Resonance'. The end of her talk was devoted to a short and moving biography of Michele illustrated by many slides.
Book Synopsis Applied Orbit Perturbation and Maintenance by : Chia-Chun Chao
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.
Book Synopsis Nonlinear Optimization and Related Topics by : Gianni Pillo
Download or read book Nonlinear Optimization and Related Topics written by Gianni Pillo and published by Springer Science & Business Media. This book was released on 2000-04-30 with total page 854 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the edited texts of the lectures presented at the Workshop on Nonlinear Optimization held in Erice, Sicily, at the "G. Stampacchia" School of Mathematics of the "E. Majorana" Centre for Scientific Culture, June 23 -July 2, 1998. In the tradition of these meetings, the main purpose was to review and discuss recent advances and promising research trends concerning theory, algorithms and innovative applications in the field of Nonlinear Optimization, and of related topics such as Convex Optimization, Nonsmooth Optimization, Variational Inequalities and Complementarity Problems. The meeting was attended by 83 people from 21 countries. Besides the lectures, several formal and informal discussions took place. The result was a wide and deep knowledge of the present research tendencies in the field. We wish to express our appreciation for the active contribution of all the par ticipants in the meeting. Our gratitude is due to the Ettore Majorana Centre in Erice, which offered its facilities and rewarding environment: its staff was certainly instrumental for the success of the meeting. Our gratitude is also due to Francisco Facchinei and Massimo Roma for the effort and time devoted as members of the Organising Committee. We are indebted to the Italian National Research Council, and in particular to the Group on Functional Analysis and its Applications and to the Committees on Engineering Sciences and on Information Sciences and Technolo gies for their financial support. Finally, we address our thanks to Kluwer Academic Publishers for having offered to publish this volume.
Book Synopsis Theory of Orbit Determination by : Andrea Milani
Download or read book Theory of Orbit Determination written by Andrea Milani and published by Cambridge University Press. This book was released on 2010 with total page 393 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents new algorithms for determining orbits; ideal for graduate students and researchers in applied mathematics, physics, astronomy and aerospace engineering.
Book Synopsis An Introduction to the Mathematics and Methods of Astrodynamics by : Richard H. Battin
Download or read book An Introduction to the Mathematics and Methods of Astrodynamics written by Richard H. Battin and published by AIAA. This book was released on 1999 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Orbital Mechanics for Engineering Students by : Howard D. Curtis
Download or read book Orbital Mechanics for Engineering Students written by Howard D. Curtis and published by Elsevier. This book was released on 2009-10-26 with total page 740 pages. Available in PDF, EPUB and Kindle. Book excerpt: Orbital Mechanics for Engineering Students, Second Edition, provides an introduction to the basic concepts of space mechanics. These include vector kinematics in three dimensions; Newton’s laws of motion and gravitation; relative motion; the vector-based solution of the classical two-body problem; derivation of Kepler’s equations; orbits in three dimensions; preliminary orbit determination; and orbital maneuvers. The book also covers relative motion and the two-impulse rendezvous problem; interplanetary mission design using patched conics; rigid-body dynamics used to characterize the attitude of a space vehicle; satellite attitude dynamics; and the characteristics and design of multi-stage launch vehicles. Each chapter begins with an outline of key concepts and concludes with problems that are based on the material covered. This text is written for undergraduates who are studying orbital mechanics for the first time and have completed courses in physics, dynamics, and mathematics, including differential equations and applied linear algebra. Graduate students, researchers, and experienced practitioners will also find useful review materials in the book. NEW: Reorganized and improved discusions of coordinate systems, new discussion on perturbations and quarternions NEW: Increased coverage of attitude dynamics, including new Matlab algorithms and examples in chapter 10 New examples and homework problems
