Hamiltonian Perturbation Solutions For Spacecraft Orbit Prediction
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Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction by Martín Lara Pdf
"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.
Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction by Martín Lara Pdf
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.
Introduction to Orbital Perturbations by James M. Longuski,Felix R. Hoots,George E. Pollock IV Pdf
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
Orbital Motion in Strongly Perturbed Environments by Daniel J. Scheeres Pdf
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.
Applied Orbit Perturbation and Maintenance by Chia-Chun Chao Pdf
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.
Orbit determination and improvement; Perturbations; Orbit prediction: special perturbations; Orbit prediction: general perturbations; Applications to lunar trajectories; Application to inter-planetary trajectories.
Satellite Orbits by Oliver Montenbruck,Eberhard Gill Pdf
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.