Description
Book SynopsisDiscusses some techniques used to obtain numerical solutions of the equations of motion for planets and satellites. This book also introduces the two-body problem and solves it by developing 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.
Trade Review"The book brings primarily a very good theoretical insight into modern problems of astrodynamics. Moreover, it brings even a survey of numerical methods to be used to solve practical orbital problems."--Space Science Reviews
Table of ContentsPreface1Background32The Two-Body Problem123Kepler's Laws314Methods of Computation405The f and g Functions586Two-Point Boundary Value Problems817Applications918Perturbation Theory1179Special Perturbation Methods14710Runge-Kutta Methods18411Types of Perturbations198Appendixes215A. Coordinate Transformations217B. Hyperbolic Motion225C. Conic Sections230D. Transfer-Angle Resolution233E. Stumpff Functions236F. Orbit Geometry239References243Index247