Orbital Motion


Book Description

Long established as one of the premier references in the fields of astronomy, planetary science, and physics, the fourth edition of Orbital Motion continues to offer comprehensive coverage of the analytical methods of classical celestial mechanics while introducing the recent numerical experiments on the orbital evolution of gravitating masses and the astrodynamics of artificial satellites and interplanetary probes. Following detailed reviews of earlier editions by distinguished lecturers in the USA and Europe, the author has carefully revised and updated this edition. Each chapter provides a thorough introduction to prepare you for more complex concepts, reflecting a consistent perspective and cohesive organization that is used throughout the book. A noted expert in the field, the author not only discusses fundamental concepts, but also offers analyses of more complex topics, such as modern galactic studies and dynamical parallaxes. New to the Fourth Edition: * Numerous updates and reorganization of all chapters to encompass new methods * New results from recent work in areas such as satellite dynamics * New chapter on the Caledonian symmetrical n-body problem Extending its coverage to meet a growing need for this subject in satellite and aerospace engineering, Orbital Motion, Fourth Edition remains a top reference for postgraduate and advanced undergraduate students, professionals such as engineers, and serious amateur astronomers.




Orbital Motion in Strongly Perturbed Environments


Book Description

The investigation of minor solar system bodies, such as comets and asteroids, using spacecraft requires an understanding of orbital motion in strongly perturbed environments. The solutions to a wide range of complex and challenging problems in this field are reviewed in this comprehensive and authoritative work.




Theory Of Orbital Motion


Book Description

Orbital motion is a vital subject which has engaged the greatest minds in mathematics and physics from Kepler to Einstein. It has gained in importance in the space age and touches every scientist in any field of space science. Still, there is almost a total dearth of books in this important field at the elementary and intermediate levels — at best a chapter in an undergraduate or graduate mechanics course.This book addresses that need, beginning with Kepler's laws of planetary motion followed by Newton's law of gravitation. Average and extremum values of dynamical variables are treated and the central force problem is formally discussed. The planetary problem in Cartesian and complex coordinates is tackled and examples of Keplerian motion in the solar system are also considered. The final part of the book is devoted to the motion of artificial Earth satellites and the modifications of their orbits by perturbing forces of various kinds.







Orbital Relative Motion and Terminal Rendezvous


Book Description

This book provides a comprehensive analysis of time-fixed terminal rendezvous around the Earth using chemical propulsion. The book has two main objectives. The first is to derive the mathematics of relative motion in near-circular orbit when subjected to perturbations emanating from the oblateness of the Earth, third-body gravity, and atmospheric drag. The mathematics are suitable for quick trajectory prediction and the creation of computer codes and efficient software to solve impulsive maneuvers and fly rendezvous missions. The second objective of this book is to show how the relative motion theory is applied to the exact precision-integrated, long-duration, time-fixed terminal rendezvous problem around the oblate Earth for the general elliptic orbit case. The contents are both theoretical and applied, with long-lasting value for aerospace engineers, trajectory designers, professors of orbital mechanics, and students at the graduate level and above.




Orbital Mechanics for Engineering Students


Book Description

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




Gravity, Orbiting Objects, and Planetary Motion


Book Description

Our modern understanding of the heliocentric universe developed five hundred years ago. Since the time of Copernicus and Galileo, scientists have made major strides in understanding how gravity, stars, and planets interact. Gravity, Orbiting Objects, and Planetary Motion explains how early ideas have given way to sophisticated, proven theories about the universe. The book aligns with Next Generation Science Standards and also presents a look at what is next in the cutting-edge field of astronomy.




Advances in Spacecraft Systems and Orbit Determination


Book Description

"Advances in Spacecraft Systems and Orbit Determinations", discusses the development of new technologies and the limitations of the present technology, used for interplanetary missions. Various experts have contributed to develop the bridge between present limitations and technology growth to overcome the limitations. Key features of this book inform us about the orbit determination techniques based on a smooth research based on astrophysics. The book also provides a detailed overview on Spacecraft Systems including reliability of low-cost AOCS, sliding mode controlling and a new view on attitude controller design based on sliding mode, with thrusters. It also provides a technological roadmap for HVAC optimization. The book also gives an excellent overview of resolving the difficulties for interplanetary missions with the comparison of present technologies and new advancements. Overall, this will be very much interesting book to explore the roadmap of technological growth in spacecraft systems.




Structure and Evolutionary History of the Solar System


Book Description

This monograph is based on four papers which have been published in Astrophysics and Space Sciences 1970--1974. They contain the results of our joint work started in 1968 at the University of California, San Diego, in La Jolla. The work was based on the belief that the complicated processes by which our solar system was formed can only be clarified by close collaboration between representatives of the physical and chemical sciences. Our investigations have also been strongly supported by work at other institu tions, especially by a group at the Royal Institute of Technology, Stockholm, where a number of plasma experiments have been made in order to clarify basic processes which are relevant to cosmogonic problems. These experiments were, in their turn inspired by theoretical work on primordial processes carried out during the last thirty-five years. We especially want to acknowledge the contributions by Drs N. Herlofson, B. Lehnert, C.-G. Fiilthammar, and Lars Danielsson in Stockholm and by Drs J.




Verification of the P. Laplace’s hypothesis “on the transformation of gravitational forces in molecular"


Book Description

This book was first published in Russian in 2014. The main idea of the book was to try to prove that the basis of all physical and chemical processes is mass, or rather the interaction of masses of elementary particles, and not mythical electric charges. It can say that a significant part of the author's life was devoted to this.All this time, the author was inspired by the idea (hypothesis) of PS Laplace that the forces acting between the molecules of matter are transformed, modified gravitational forces. To prove the hypothesis put forward, Laplace carried out calculations in which he showed that in the transition from gravitational forces to molecular forces, the density of matter in elementary particles increases 10^10 times. Such a significant increase in the density of matter leads to an increase in the intensity of gravitational forces, their transformation into molecular ones.