Hamiltonian Perturbation Solutions for Spacecraft Orbit Prediction PDF Download
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Author: Martín Lara
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110667320
Category : Science
Languages : en
Pages : 315
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Book Description
"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.
Author: Martín Lara
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110667320
Category : Science
Languages : en
Pages : 315
Get Book
Book Description
"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.
Author: Martín Lara
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110668513
Category : Science
Languages : en
Pages : 394
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Book Description
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.
Author: Walter Lacarbonara
Publisher: Springer Nature
ISBN: 3031506316
Category :
Languages : en
Pages : 719
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Book Description
Author: James M. Longuski
Publisher: Springer Nature
ISBN: 3030897583
Category : Science
Languages : en
Pages : 349
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Book Description
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
Author: Daniel J. Scheeres
Publisher: Springer
ISBN: 3642032567
Category : Technology & Engineering
Languages : en
Pages : 390
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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.
Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1388
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Book Description
Author: Robert M. L. Baker
Publisher:
ISBN:
Category : Technology & Engineering
Languages : en
Pages : 570
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Book Description
Orbit determination and improvement; Perturbations; Orbit prediction: special perturbations; Orbit prediction: general perturbations; Applications to lunar trajectories; Application to inter-planetary trajectories.
Author: Guochang Xu
Publisher: Springer Science & Business Media
ISBN: 3642327931
Category : Science
Languages : en
Pages : 444
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Book Description
The development of the orbits theory lags behind the development of satellite technology. This book provides, for the first time in the history of human satellite development, the complete third order solution of the orbits under all possible disturbances. It describes the theory of satellite orbits, derives the complete solutions of the orbital disturbances, describes the algorithms of orbits determination based on the theory, describes the applications of the theory to the phenomenon of the satellite formation physically. The subjects include: Orbits Motion Equations, Disturbance theory, Solutions of the differential Equations, Algorithms of Orbits determinations, Applications of the theory to the satellite formation.
Author:
Publisher:
ISBN:
Category : Mechanics, Applied
Languages : en
Pages : 700
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Book Description
Author: Donald A. Danielson
Publisher:
ISBN:
Category :
Languages : en
Pages : 0
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Book Description
The search for a universal solution of the equations of motion for a satellite orbiting an oblate planet is a subject that has merited great interest because of its theoretical and practical implications. Here, a complete first- order perturbation solution, including the effects of the J2 terms in the planet's potential, is given in terms of standard orbital parameters. The simple formulas provide a fast method for predicting satellite orbits that is more accurate than the two-body formulas. These predictions are shown to agree well with those of a completely numerical code and with actual satellite data. Also, in an appendix, it is rigorously proven that a satellite having negative mechanical energy remains for all time within a spherical annulus with radii approximately equal to the perigee and apogee of its initial osculating ellipse. ... Perturbation solution, Oblate planet, Orbital parameters.
