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Author : Lynn E. Wolaver
Publisher : Unknown
Page : 548 pages
File Size : 53,9 Mb
Release : 1970
Category : Astrodynamics
ISBN : UOM:39015095147875
Author : Victor R. Bond,Mark C. Allman
Publisher : Princeton University Press
Page : 263 pages
File Size : 50,5 Mb
Release : 1996-03-24
Category : Science
ISBN : 9780691044590
Newton's laws of motion and his universal law of gravitation described mathematically the motion of two bodies undergoing mutual gravitational attraction. However, it is impossible to solve analytically the equation of motion for three gravitationally interacting bodies. This book discusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites, which are of fundamental importance to solar-system dynamicists and to those involved in planning the orbits of artificial satellites. The first part introduces the classical two-body problem and solves it by rigorously developing the six integrals of the motion, starting from Newton's three laws of motion and his law of gravitation and then using vector algebra to develop the integrals. The various forms of the solution flow naturally from the integrals. In the second part, several modern perturbation techniques are developed and applied to cases of practical importance. For example, the perturbed two-body problem for an oblate planet or for a nonsymmetric rotating planet is considered, as is the effect of drag on a satellite. The two-body problem is regularized, and the nonlinear differential equation is thereby transformed to a linear one by further embedding several of the integrals. Finally, a brief sketch of numerical methods is given, as the perturbation equations must be solved by numerical rather than by analytical methods.
Author : Anonim
Publisher : Elsevier
Page : 336 pages
File Size : 50,8 Mb
Release : 2006-10-19
Category : Science
ISBN : 0080464912
In recent years, an unprecedented interest in novel and revolutionary space missions has risen out of the advanced NASA and ESA programs. Astrophysicists, astronomers, space systems engineers, mathematicians and scientists have been cooperating to implement novel and ground-breaking space missions. Recent progress in mathematical dynamics has enabled development of specialised spacecraft orbits and propulsion systems. Recently, the concept of flying spacecraft in formation has gained a lot of interest within the community. These progresses constitute the background to a significant renaissance of research dealing with astrodynamics and its applications. Modern Astrodynamics is designed as a stepping stone for the exposition of modern astrodynamics to students, researchers, engineers and scientists. This volume will present the main constituents of the astrodynamical science in an elaborate, comprehensive and rigorous manner. Although the volume will contain a few distinct chapters, it will render a coherent portrayal of astrodynamics. Encompasses the main constituents of the astrodynamical sciences in an elaborate, comprehensive and rigorous manner Presents recent astrodynamical advances and describes the challenges ahead The first volume of a series designed to give scientists and engineers worldwide an opportunity to publish their works in this multi-disciplinary field
Author : William E. Wiesel
Publisher : Unknown
Page : 229 pages
File Size : 49,8 Mb
Release : 2003
Category : Astrodynamics
ISBN : 0974827215
Beginning from an understanding of Hamiltonian dynamics, Modern Astrodynamics blends the modern methods of dynamical system theory with the classical perturbation methods. Emphasizing earth satellite motion, the work also explores planetary motion. The text concludes with nonlinear resonance and relative motion of satellites. A Windows PC program disk suppliments the text.
Author : Raynor L. Duncombe,Victor G. Szebehely
Publisher : Academic Press
Page : 452 pages
File Size : 43,8 Mb
Release : 2014-12-03
Category : Technology & Engineering
ISBN : 9781483276854
Methods in Astrodynamics and Celestial Mechanics is a collection of technical papers presented at the Astrodynamics Specialist Conference held in Monterey, California, on September 16-17, 1965, under the auspices of the American Institute of Aeronautics and Astronautics and Institute of Navigation. The conference provided a forum for tackling some of the most interesting applications of the methods of celestial mechanics to problems of space engineering. Comprised of 19 chapters, this volume first treats the promising area of motion around equilibrium configurations. Following a discussion on limiting orbits at the equilateral centers of libration, the reader is introduced to the asymptotic expansion technique and its application to trajectories. Asymptotic representations for solutions to the differential equations of satellite theory are considered. The last two sections deal with orbit determination and mission analysis and optimization in astrodynamics. Error equations of inertial navigation as applied to orbital determination and guidance are evaluated, along with parameter hunting procedures and nonlinear optimal control problems with control appearing linearly .This book will be useful to practitioners in the fields of aeronautics, astronautics, and astrophysics.
Author : William E. Wiesel
Publisher : CreateSpace
Page : 218 pages
File Size : 55,6 Mb
Release : 2010-08-20
Category : Technology & Engineering
ISBN : 1453781471
Beginning with Hamiltonian dynamics, Modern Astrodynamics blends the modern methods of dynamical systems theory with the perturbation theory methods of the last century. With an emphasis on earth satellite motion, the derivation of the geopotential expansion is covered, and the motion of an object under the influence of the Earth's equatorial oblateness is derived to the first order. The structure of the phase space of Hamiltonian systems is explored both with modern numerical techniques (the surface of section) periodic orbit theory, and nonlinear resonance methods. The text concludes with applications of these modern methods to the problem of the relative motion of satellites in orbit about the earth, and the application of KAM tori to earth satellite motion. The text is suitable for a semester course at the introductory graduate level. Topics covered include: (1) Modern Numerical Methods, (2) Transformation Theory, (3) Variation of Elements, (4) Perturbing Forces, (5) General Perturbations, (6) Nonlinear Resonance, (7) Relative Satellite Motion, and (8) KAM Tori.
Author : Pedro Ramon Escobal
Publisher : John Wiley & Sons
Page : 368 pages
File Size : 42,5 Mb
Release : 1968
Category : Technology & Engineering
ISBN : UOM:39015002068842
Author : Forest Ray Moulton
Publisher : Unknown
Page : 478 pages
File Size : 53,8 Mb
Release : 1914
Category : Science
ISBN : STANFORD:36105046458993
Author : P. Guptil
Publisher : Unknown
Page : 0 pages
File Size : 48,7 Mb
Release : 2006-07
Category : Technology & Engineering
ISBN : 0750681578
Author : Gerald R. Hintz
Publisher : Springer Nature
Page : 461 pages
File Size : 49,6 Mb
Release : 2023-01-11
Category : Technology & Engineering
ISBN : 9783030965730
Now in an updated second edition, this classroom-tested textbook covers fundamental and advanced topics in orbital mechanics and astrodynamics designed to introduce readers to the basic dynamics of space flight. The book explains concepts and engineering tools a student or practicing engineer can apply to mission design and navigation of space missions. Through highlighting basic, analytic, and computer-based methods for designing interplanetary and orbital trajectories, the text provides excellent insight into astronautical techniques and tools. The second edition includes new material on the observational basics of orbit determination, information about precision calculations for data used inflight, such as Mars 2020 with the Ingenuity Helicopter, and improvements in mission design procedures, including the automated design of gravity-assist trajectories. Orbital Mechanics and Astrodynamics: Techniques and Tools for Space Missions is ideal for students in astronautical or aerospace engineering and related fields, as well as engineers and researchers in space industrial and governmental research and development facilities, as well as researchers in astronautics.
Author : Richard H. Battin
Publisher : AIAA
Page : 840 pages
File Size : 44,7 Mb
Release : 1999
Category : Astrodynamics
ISBN : 1600860265
Author : Alessandro de Iaco Veris
Publisher : Springer
Page : 1309 pages
File Size : 44,6 Mb
Release : 2017-11-28
Category : Technology & Engineering
ISBN : 9783319622200
This modern textbook guides the reader through the theory and practice of the motion and attitude control of space vehicles. It first presents the fundamental principles of spaceflight mechanics and then addresses more complex concepts and applications of perturbation theory, orbit determination and refinement, space propulsion, orbital maneuvers, interplanetary trajectories, gyroscope dynamics, attitude control, and rocket performance. Many algorithms used in the modern practice of trajectory computation are also provided. The numerical treatment of the equations of motion, the related methods, and the tables needed to use them receive particular emphasis. A large collection of bibliographical references (including books, articles, and items from the "gray literature") is provided at the end of each chapter, and attention is drawn to many internet resources available to the reader. The book will be of particular value to undergraduate and graduate students in aerospace engineering.
Author : Roger R. Bate,Donald D. Mueller,Jerry E. White
Publisher : Courier Corporation
Page : 484 pages
File Size : 47,6 Mb
Release : 1971-01-01
Category : Technology & Engineering
ISBN : 0486600610
Teaching text developed by U.S. Air Force Academy and designed as a first course emphasizes the universal variable formulation. Develops the basic two-body and n-body equations of motion; orbit determination; classical orbital elements, coordinate transformations; differential correction; more. Includes specialized applications to lunar and interplanetary flight, example problems, exercises. 1971 edition.
Author : Robert M. L. Baker,Mary P. Francis
Publisher : Unknown
Page : 92 pages
File Size : 40,8 Mb
Release : 1962
Category : Astrodynamics
ISBN : CORNELL:31924004086728
The review surveys eight subdivisions within astrodynamics: geometry, coordinate systems and ephemerides; astrodynamic constants (including heliocentric, genocentric, lunar and planetary, and atmospheric constants); orbit determination; orbit perturbations (gravitational and nongravitational); orbit prediction (using both special and general perturbation techniques); applications (orbit selection and optimization, low thrust orbits, geocentric orbits, lunar, planetary and interplanetary orbits); observation theory; and attitude dynamics. Each subdivision is introduced and a number of the outstanding research papers in each area are mentioned. Specifically, an effort is made to delineate voids in our knowledge and to point up areas of profitable future research in astrodynamics. (Author).
Author : Marshall H. Kaplan
Publisher : Courier Dover Publications
Page : 433 pages
File Size : 46,7 Mb
Release : 2020-11-18
Category : Technology & Engineering
ISBN : 9780486819181
Topics include orbital and attitude maneuvers, orbit establishment and orbit transfer, plane rotation, interplanetary transfer and hyperbolic passage, lunar transfer, reorientation with constant momentum, attitude determination, more. Answers to selected exercises. 1976 edition.