Modern Techniques In Astrodynamics

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Modern Techniques In Astrodynamics

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Author : Lynn E. Wolaver
language : en
Publisher:
Release Date : 1970

Modern Techniques In Astrodynamics written by Lynn E. Wolaver and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Astrodynamics categories.

The report represents lecture notes for a graduate level course in celestial mechanics which has been given at the Air Force Institute of Technology. It covers a review of the two-body problem, discusses the three-body problem, the restricted three-body problem together with regularization and stability analysis. The main portion of the report develops the Hamilton-Jacobi theory and applies it to develop Lagrange's and Gauss' planetary equations. The oblate earth potential is developed and the secular equation solved. Effect of small thrust, drag, lunar-solar gravitational and solar radiation perturbations are developed mathematically and the effects discussed. Von Zeipel's method for the solution of nonlinear equations is developed and used to solve Duffing's equation as an example. Special perturbations are discussed along with errors due to numerical integration and Encke's method is used to obtain approximate analytical results for the motion of stationary satellites. Finally a complete discussion of coordinate systems, time scale and astronomical constants are given. The report ends with a detailed discussion of the shape of the earth. Two appendices briefly cover numerical integration and a review of Lagrangian mechanics. (Author).

Methods Of Astrodynamics

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Author : Pedro Ramon Escobal
language : en
Publisher: John Wiley & Sons
Release Date : 1968

Methods Of Astrodynamics written by Pedro Ramon Escobal and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Technology & Engineering categories.

Astronautics

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Author :
language : en
Publisher:
Release Date : 1962

Astronautics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Astronautics categories.

Celestial Mechanics And Astrodynamics

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Author : Victor G. Szebehely
language : en
Publisher:
Release Date : 1964

Celestial Mechanics And Astrodynamics written by Victor G. Szebehely and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Artificial satellites categories.

Aiaa Bulletin

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Author :
language : en
Publisher:
Release Date : 1973

Aiaa Bulletin written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Aeronautics categories.

Journal Of Guidance And Control

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Author :
language : en
Publisher:
Release Date : 1978

Journal Of Guidance And Control written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Aeronautics categories.

Astrodynamics Orbit Determination Space Navigation Celestial Mechanics

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Author : Samuel Herrick
language : en
Publisher:
Release Date : 1971

Astrodynamics Orbit Determination Space Navigation Celestial Mechanics written by Samuel Herrick and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971 with Astrodynamics categories.

Modern Astrodynamics

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Author : Victor R. Bond
language : en
Publisher: Princeton University Press
Release Date : 1996-03-24

Modern Astrodynamics written by Victor R. Bond and has been published by Princeton University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-03-24 with Science categories.

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.

Dictionary Catalog Of The Research Libraries Of The New York Public Library 1911 1971

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Author : New York Public Library. Research Libraries
language : en
Publisher:
Release Date : 1979

Dictionary Catalog Of The Research Libraries Of The New York Public Library 1911 1971 written by New York Public Library. Research Libraries and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Library catalogs categories.

Aiaa Aas Astrodynamics Conference

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Author :
language : en
Publisher:
Release Date : 1978

Aiaa Aas Astrodynamics Conference written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1978 with Astrodynamics categories.