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Author : B. D. Tapley
Publisher :
ISBN 13 :
Total Pages : 15 pages
Book Rating : 4.:/5 (177 download)
Download or read book Satellite Motion in the Vicinity of the Stable Earth-moon Libration Points written by B. D. Tapley and published by . This book was released on 196? with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William H. Michael
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (31 download)
Download or read book Considerations of the Motion of a Small Body in the Vicinity of the Stable Libration Points of the Earth-moon System written by William H. Michael and published by . This book was released on 1963 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the basis of a first-order analysis of the equations of motion of the restricted three-body problem, an explicit solution is obtained for the position and velocity components of the motion as a function of the initial conditions. The analytical results are compared with results obtained by numerical integration.
Author :
Publisher :
ISBN 13 :
Total Pages : 36 pages
Book Rating : 4.:/5 (317 download)
Download or read book Considerations of the Motion of a Small Body in the Vicinity of the Stable Libration Points of the Earth-moon System written by and published by . This book was released on 1963 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : William H. Michael
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (17 download)
Download or read book Considerations of the Motion of a Small Body in the Vicinity of the Stable Libration Points of the Earth-moon System written by William H. Michael and published by . This book was released on 1963 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt: On the basis of a first-order analysis of the equations of motion of the restricted three-body problem, an explicit solution is obtained for the position and velocity components of the motion as a function of the initial conditions. The analytical results are compared with results obtained by numerical integration.
Author : William H. Michael
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (64 download)
Download or read book Consideration of the Motion of a Small Body in the Vicinity of the Stable Libration Points of the Earth-Moon System written by William H. Michael and published by . This book was released on 1963 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gerard Gomez
Publisher : World Scientific
ISBN 13 : 9814486043
Total Pages : 695 pages
Book Rating : 4.8/5 (144 download)
Download or read book Libration Point Orbits And Applications - Proceedings Of The Conference written by Gerard Gomez and published by World Scientific. This book was released on 2003-05-07 with total page 695 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the state of the art in numerical and analytical techniques as well as future trends associated with mission design for libration point orbits. It contains papers explaining theoretical developments and their applications, including the accurate description of some actual libration point missions of ESA and NASA. The existing software in the field and some applications beyond the neighborhood of the Earth are also presented. Special emphasis is placed on the use of dynamical systems methodology in the libration-point-orbits mission design.
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Author :
Publisher :
ISBN 13 :
Total Pages : 24 pages
Book Rating : 4.:/5 (979 download)
Download or read book Considerations of Motion of Small Body in Vicinity of Stable Liberation Points of Earth-moon System [with List of References] written by and published by . This book was released on 1964 with total page 24 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Robert Willard Farquhar
Publisher :
ISBN 13 :
Total Pages : 140 pages
Book Rating : 4.:/5 (31 download)
Download or read book The Control and Use of Libration-point Satellites written by Robert Willard Farquhar and published by . This book was released on 1970 with total page 140 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jay Mayne Lewallen
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (424 download)
Download or read book Spacecraft motion in the vicinity of the earth moon equilateral libration points written by Jay Mayne Lewallen and published by . This book was released on 1963 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Howard A. Tilton
Publisher :
ISBN 13 :
Total Pages : 108 pages
Book Rating : 4.:/5 (227 download)
Download or read book Three Dimensional Orbital Stability About the Earth-Moon Equilateral Libration Points written by Howard A. Tilton and published by . This book was released on 1980 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: A search for a stable three dimensional orbit for a satellite about L4 is performed. A proposed two dimensional very restricted orbit is used to supply the initial conditions required for the search. An ephemeris of high accuracy is generated from a specific date and time using actual positions for the sun and moon. The generated sun and moon position and velocity vectors are used in the integration of the system's equations of motion. A stable orbit is found and is tested for its length of stability. The orbit is found to have a stable lifetime in excess of six hundred lunar synodic months. The sensitivity of the orbit to the sun's and moon's position is tested and found to be only slightly sensitive for an error in position of one quarter day. Finally, a predicted 180 deg out of phase orbit is found and is determined to be only marginally stable.
Author : Raynor L. Duncombe
Publisher : Academic Press
ISBN 13 : 1483276856
Total Pages : 453 pages
Book Rating : 4.4/5 (832 download)
Download or read book Methods in Astrodynamics and Celestial Mechanics written by Raynor L. Duncombe and published by Academic Press. This book was released on 2014-12-03 with total page 453 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 : Victory Szebehely
Publisher : Elsevier
ISBN 13 : 0323143466
Total Pages : 685 pages
Book Rating : 4.3/5 (231 download)
Download or read book Theory of Orbit written by Victory Szebehely and published by Elsevier. This book was released on 2012-12-02 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt: Theory of Orbits: The Restricted Problem of Three Bodies is a 10-chapter text that covers the significance of the restricted problem of three bodies in analytical dynamics, celestial mechanics, and space dynamics. The introductory part looks into the use of three essentially different approaches to dynamics, namely, the qualitative, the quantitative, and the formalistic. The opening chapters consider the formulation of equations of motion in inertial and in rotating coordinate systems, as well as the reductions of the problem of three bodies and the corresponding streamline analogies. These topics are followed by discussions on the regularization and writing of equations of motion in a singularity-free systems; the principal qualitative aspect of the restricted problem of the curves of zero velocity; and the motion and nonlinear stability in the neighborhood of libration points. This text further explores the principles of Hamiltonian dynamics and its application to the restricted problem in the extended phase space. A chapter treats the problem of two bodies in a rotating coordinate system and treats periodic orbits in the restricted problem. Another chapter focuses on the comparison of the lunar and interplanetary orbits in the Soviet and American literature. The concluding chapter is devoted to modifications of the restricted problem, such as the elliptic, three-dimensional, and Hill's problem. This book is an invaluable source for astronomers, engineers, and mathematicians.
Author : John Barkley Rosser
Publisher :
ISBN 13 :
Total Pages : 272 pages
Book Rating : 4.:/5 (41 download)
Download or read book Space Mathematics: Motion in the vicinity of the triangular libration centers written by John Barkley Rosser and published by . This book was released on 1966 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :
Publisher :
ISBN 13 :
Total Pages : 512 pages
Book Rating : 4.:/5 (319 download)
Download or read book NASA Technical Report written by and published by . This book was released on 1970 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wang Sang Koon
Publisher : Springer
ISBN 13 : 9780387495156
Total Pages : 336 pages
Book Rating : 4.4/5 (951 download)
Download or read book Dynamical Systems written by Wang Sang Koon and published by Springer. This book was released on 2011-06-01 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers global solutions to the restricted three-body problem from a geometric point of view. The authors seek dynamical channels in the phase space which wind around the planets and moons and naturally connect them. These low energy passageways could slash the amount of fuel spacecraft need to explore and develop our solar system. In order to effectively exploit these passageways, the book addresses the global transport. It goes beyond the traditional scope of libration point mission design, developing tools for the design of trajectories which take full advantage of natural three or more body dynamics, thereby saving precious fuel and gaining flexibility in mission planning. This is the key for the development of some NASA mission trajectories, such as low energy libration point orbit missions (e.g., the sample return Genesis Discovery Mission), low energy lunar missions and low energy tours of outer planet moon systems, such as a mission to tour and explore in detail the icy moons of Jupiter. This book can serve as a valuable resource for graduate students and advanced undergraduates in applied mathematics and aerospace engineering, as well as a manual for practitioners who work on libration point and deep space missions in industry and at government laboratories. the authors include a wealth of background material, but also bring the reader up to a portion of the research frontier.
Author : Jean-Philippe Munoz
Publisher :
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.:/5 (263 download)
Download or read book Sun-perturbed Dynamics of a Particle in the Vicinity of the Earth-Moon Triangular Libration Points written by Jean-Philippe Munoz and published by . This book was released on 2008 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study focuses on the Sun's influence on the motion near the triangular libration points of the Earth-Moon system. It is known that there exists a very strong resonant perturbation near those points that produces large deviations from the libration points, with an amplitude of about 250,000 km and a period of 1,500 days. However, it has been shown that it is possible to find initial conditions that negate the effects of that perturbation, even resulting in stable, although very large, periodic orbits. Using two different models, the goal of this research is to determine the initial configurations of the Earth-Moon-Sun system that produce minimal deviations from the libration points, and to provide a better understanding of the dynamics of this highly nonlinear problem. First, the Bicircular Problem (BCP) is considered, which is an idealized model of the Earth-Moon-Sun System. The impact of the initial configuration of the Earth-Moon-Sun system is studied for various propagation times and it is found that there exist two initial configurations that produce minimal deviations from L4 or L5. The resulting trajectories are very sensitive to the initial configuration, as the mean deviation from the libration points can decrease by 30,000 km with less than a degree change in the initial configuration. Two critical initial configurations of the system were identified that could allow a particle to remain within 30,000 km of the libration points for as long as desired. A more realistic model, based on JPL ephemerides, is also used, and the influence of the initial epoch on the motion near the triangular points is studied. Through the year 2007, 51 epochs are found that produce apparently stable librational motion near L4, and 60 near L5. But the motion observed depends greatly on the initial epoch. Some epochs are even found to significantly reduce the deviation from L4 and L5, with the spacecraft remaining within at most 90,000 km from the triangular points for upwards of 3,000 days. Similarly to what was observed in the BCP, these trajectories are found to be extremely sensitive to the initial epoch.
Author : Elisa Maria Alessi
Publisher : Frontiers Media SA
ISBN 13 : 2889630447
Total Pages : 156 pages
Book Rating : 4.8/5 (896 download)
Download or read book The Earth-Moon System as a Dynamical Laboratory written by Elisa Maria Alessi and published by Frontiers Media SA. This book was released on 2019-09-25 with total page 156 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Earth-Moon neighborhood is the scene of a large variety of applications that concern asteroids, lunar exploration and space debris in Earth orbit. In particular, recent efforts by the scientific community have focused on the possibility of extending the human operations beyond the radiation belts; of exploiting in-situ resources, either on the lunar surface or on asteroids retrieved to the vicinity of the Earth; and of mitigating the space debris concern by taking advantage of the lunar perturbation. The characteristic dynamics in the cislunar space represents an opportunity for the mission designer, but also a challenge in terms of theoretical understanding and operational control. This Research Topic covers the Earth-Moon dynamics in its complexity and allure, considering the most relevant aspects for both natural and artificial objects, in order to get a new comprehension of the dynamics at stake along with the operational procedures that can handle it.
