Orbital space flight in problems with detailed solutions and in numbers. 2nd edition. Paulkhova E.N.

The book gives a modern interpretation of the task of two bodies (two attracted by the law of the universal gravity of material points), which is the foundation of heavenly mechanics and the theory of space flight. In various reference systems, differential equations of motion are displayed, the phase space is determined, a complete system of integrals and a general solution are built. All degenerated cases are described along with their environs. In particular, a single description of the surroundings of the parabolic movement, as well as the surroundings of the straightforward movement of any type, is given. Details the presentation of the solution as a clear function of time in the form of a series of three types: according to the degrees of time, according to the degrees of eccentricity, the rows of Fourier. Prheardly attention is paid to the issues of convergence. The metric spaces of Kepler orbits are introduced and their properties are investigated, useful in solving the tasks of identifying cosmic objects and the study of clashes or close passages of celestial bodies. The main tasks of determining the unpeerated orbits are solved. Part of the results was obtained at the Department of Heavenly Mechanics of St. Petersburg University. The presentation is accompanied by numerous examples and tasks. The latter are equipped with answers, so the book can serve as a reference. For students and graduate students of astronomical and astronomer-geodesic departments and departments of universities, as well as specialists in the field of heavenly mechanics, cosmic geodesy, gravimetry, cosmic flight theory.