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Modern Astrodynamics

Name: Modern Astrodynamics
Price: 106.36 USD
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4.4 of 5 Stars: Engineering - Modern Astrodynamics

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Book Synopsis: 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.

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Looking to deepen your knowledge of astrodynamics? Look no further than our Modern Astrodynamics Book! This comprehensive guide takes you through the fascinating world of celestial motion, providing you with essential techniques to obtain numerical solutions for the equations of motion for planets and satellites. Whether you're a solar-system dynamicist or involved in satellite orbit planning, this book is a must-have resource.

Starting with the classical two-body problem, this book rigorously develops the six integrals of motion, beginning from Newton's laws of motion and his law of gravitation. With the help of vector algebra, the solutions naturally emerge, giving you a solid foundation in understanding celestial mechanics.

In the second part of the book, you'll dive into modern perturbation techniques. Explore scenarios like the perturbed two-body problem for oblate planets or nonsymmetric rotating planets, and even the effects of drag on satellites. Learn how to regularize the two-body problem, transforming the nonlinear differential equation into a linear one by embedding the integrals. Finally, get a brief overview of numerical methods, essential for solving the perturbation equations.

Don't miss out on this invaluable resource for astrodynamics enthusiasts and professionals alike. Take your understanding of celestial motion to new heights with our Modern Astrodynamics Book. Get your copy today and start exploring the intricacies of the cosmos!

Click here to get your copy of the Modern Astrodynamics Book!

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