Introductory orbit dynamics

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This comprehensive guide covers the fundamental principles of orbital mechanics and celestial dynamics. It begins with the simplified two-body problem, addressing key concepts such as position, velocity, acceleration, attraction forces, and the shape of paths, including the eccentricity vector. The discussion progresses to Kepler orbits, detailing angular momentum, orbital periods, the vis-viva integral, and energy considerations, alongside Kepler's laws and equations. The text delves into orbit insertion techniques, including periapsis and arbitrary point insertions, followed by various transfer methods like single impulses, Hohmann transfers, and energy requirements. The gravitational potential section examines potentials surrounding bodies of different shapes and the effects of perturbation forces. Further, the book explores variations in geometric orbital elements, secular variations, and orbital periods, while addressing other perturbations such as air resistance and solar wind. The analysis extends to satellites from infinity, hyperbolic orbits, and the dynamics of the Earth-Moon system, including tidal forces and libration points. In addition, the guide features an appendix with space and engineering data, nomenclature, and answers to selected problems, making it a valuable resource for understanding the complexities of orbital mechanics.