Download or read book Some Necessary Conditions for Time optimal Fixed fuel Transfers Between Coplanar Orbits written by Ronald C. Tubbs (CAPT, USAF.) and published by . This book was released on 1971 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Some Necessary Conditions for Time Optimal Fixed Fuel Transfers Between Coplanar Orbits written by Ronald C. Tubbs and published by . This book was released on 1971 with total page 71 pages. Available in PDF, EPUB and Kindle. Book excerpt: Some necessary conditions in terms of the state and costate variables are derived for time-optimal, thrust-coast-thrust (TCT) trajectories between coplanar, cofocal orbits in an inverse-square gravitational field. Assuming impulsive thrusting, the transfer trajectories are determined by solving a quartic polynomial in the square root of the semi-latus rectum of the transfer orbit. The IBM 7094 digital computer was programmed to solve the polynomial and isolate the root leading to the optimal trajectory. Final mass to initial mass ratios are specified, and initial mass is taken as unity. The necessary conditions are derived using plots of constant mass contours in the transfer angle vs. transfer time plane. The conditions are intended to indicate when the TCT trajectory is not optimal and should be replaced by another type of trajectory, such as coast-thrust-coast-thrust (CTCT) or thrust-coast-thrust-coast (TCTC). (Modified author abstract).
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1970 with total page 796 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Necessary Condition and a Corner Condition for Optimal Coplanar Orbit Transfer written by Robert D. Culp and published by . This book was released on 1966 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1993 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Coplanar Flight Between Orbits written by S. N. Kirpichnikov and published by . This book was released on 1964 with total page 40 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Aeroassisted Coplanar Orbital Transfer Using an Energy Model written by National Aeronaut Administration (Nasa) and published by Createspace Independent Publishing Platform. This book was released on 2018-07-10 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: The atmospheric portion of the trajectories for the aeroassisted coplanar orbit transfer was investigated. The equations of motion for the problem are expressed using reduced order model and total vehicle energy, kinetic plus potential, as the independent variable rather than time. The order reduction is achieved analytically without an approximation of the vehicle dynamics. In this model, the problem of coplanar orbit transfer is seen as one in which a given amount of energy must be transferred from the vehicle to the atmosphere during the trajectory without overheating the vehicle. An optimal control problem is posed where a linear combination of the integrated square of the heating rate and the vehicle drag is the cost function to be minimized. The necessary conditions for optimality are obtained. These result in a 4th order two-point-boundary-value problem. A parametric study of the optimal guidance trajectory in which the proportion of the heating rate term versus the drag varies is made. Simulations of the guidance trajectories are presented. Halyo, Nesim and Taylor, Deborah B. Unspecified Center...
Download or read book Minimum Fuel Transfers Between Coaxial Ellipses Both Coplanar and Nonplanar written by Stanford University. Department of Aeronautics and Astronautics and published by . This book was released on 1965 with total page 42 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Astronautical Research 1972 written by L.G. Napolitano and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Space scientists and engineers belonging to the professional societies associated with the International Astronautical Federation gathered together in Vienna to hold the Federation's 23rd Congress. A selected number of papers and critical surveys that were presented and debated at this Congress and which span the widely diversified field of astonautics are collected in the present Proceedings, together with a number of summaries of Round Table Discussions andjor Forum Sessions. As its predecessors in the series, Astronautical Research 1972 constitutes an indispensable reference for several groups of people: those who are actively engaged in astronautics; those who are interested in following and assessing, year by year, the developments in astronautics, its progress, its new directions in research; and those who are concerned with its many applications. Space science and technology are bound to play an increasing role in the immediate future, now that greater effort is being devoted to the exploitation of their relevance to other fields of human activity. Problems posed by the scarcity of earth resources and by their inadequate management, pollution problems, problems created by man's indiscriminate and often irresponsible action in vital sectors of the biosphere can be tackled and successfully alleviated, if not solved, by means of the soft and hard advanced technology developed for space systems.
Download or read book Optimal Aeroassisted Coplanar Orbital Transfer Using an Energy Model written by and published by . This book was released on 1989 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Journal of the Astronautical Sciences written by and published by . This book was released on 1977 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Optimal Control with Aerospace Applications written by James M Longuski and published by Springer Science & Business Media. This book was released on 2013-11-04 with total page 286 pages. Available in PDF, EPUB and Kindle. Book excerpt: Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary conditions step-by-step, and introduce the elementary computational techniques of optimal control. This book, with problems and an online solution manual, provides the graduate-level reader with enough introductory knowledge so that he or she can not only read the literature and study the next level textbook but can also apply the theory to find optimal solutions in practice. No more is needed than the usual background of an undergraduate engineering, science, or mathematics program: namely calculus, differential equations, and numerical integration. Although finding optimal solutions for these problems is a complex process involving the calculus of variations, the authors carefully lay out step-by-step the most important theorems and concepts. Numerous examples are worked to demonstrate how to apply the theories to everything from classical problems (e.g., crossing a river in minimum time) to engineering problems (e.g., minimum-fuel launch of a satellite). Throughout the book use is made of the time-optimal launch of a satellite into orbit as an important case study with detailed analysis of two examples: launch from the Moon and launch from Earth. For launching into the field of optimal solutions, look no further!
Download or read book Astronautics Aeronautics written by and published by . This book was released on 1966 with total page 1136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Technical Memorandum written by and published by . This book was released on 1963 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Astrodynamics 1991 written by Bernard Kaufman and published by . This book was released on 1992 with total page 896 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and published by . This book was released on 1967 with total page 2300 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Selected Listing of NASA Scientific and Technical Reports for 1966 written by United States. National Aeronautics and Space Administration. Scientific and Technical Information Division and published by . This book was released on 1967 with total page 2084 pages. Available in PDF, EPUB and Kindle. Book excerpt:
