By Barkley Rosser

MATHEMATICAL conception OF ROCKET FLIGHT by way of J. BARKLEY ROSSER. PREFACE: this can be the legit ultimate report back to the workplace of medical examine and improvement in regards to the paintings performed at the external ballistics of fin-stabilized rocket projectiles less than the supervision of part H of department three of the nationwide protection learn Committee on the Allegany Ballistics Laboratory in the course of 1944 and 1945, whilst the laboratory was once operated via The George Washington collage lower than agreement OEMsr-273 with the workplace of clinical examine and Devel opment. As such, its professional name is ultimate record No. B2.2 of the Allegany Ballistics Laboratory, OSRD 5878. After the removing of secrecy regulations in this record, a think of capable quantity of expository fabric was once further. it really is our wish that thereby the record has been made readable for somebody drawn to the flight of rockets. a little forms of readers are antici pated. One is the knowledgeable scientist who has had no past adventure with rockets. the opposite is the individual with little clinical education who's attracted to what makes a rocket cross. the 1st kind of reader can be in a position to understand the file in its entirety. For the advantage of the second one form of reader, who will desire to pass the extra mathematical parts, wo have tried to provide basic explana tions on the beginnings of so much sections telling what's to be accom plished in these sections. it really is our desire reader can, if that is so minded, bypass many of the arithmetic and nonetheless have the capacity to shape a common suggestion of rocket flight. even supposing it is a record of the paintings performed at Allegany Ballistics Laboratory, it mustn't ever be meant that each one the cloth within the document originated there. we now have been such a lot lucky in receiving the total hearted cooperation and assistance of scientists in different laboratories. lots of them, particularly the English scientists, have been good complicated within the conception earlier than we even begun. with out the tremendous begin given us via those different employees, this document may well in no way were written. in spite of the fact that, we have been lucky adequate to find technique of keeping off convinced problems of the idea. the 1st is that of utilizing a few dynamical legislation specifically fitted to rockets in deriving the equations of movement, and the second one is that of utilizing a few mathematical capabilities specifically fitted to rockets in fixing the equations of movement. the reason and representation of those simplifying units take in a substantial element of the file, even if for completeness we have now integrated fabric now not regarding them. In trying to recognize the contributions of different staff, we're in a tricky place. nearly 100 studies through different staff have been beneficial in a single means or one other within the preparatf on of this document. despite the fact that, such a lot of them are nonetheless sure by means of army secrecy, in order that purely the few brought up in our meager checklist of bibliographical references might be pointed out right here. Many figures are copied from those unmentioiied reviews. enormous parts of our document, comparable to Chap. II and Appendix 1, lean very seriously on definite of those unmentioned stories, yet no particular credits is given...

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11 To make gaseous diffusion practical, Murphree's Planning Board initiated a large research effort in early 1942 to develop first a pilot plant and then an industrial facility. Percival Keith, vice president of the M. W. Kellogg Company, was recruited to direct this effort, which drew on the expertise of many companies and universities. Keith sent Kellogg researchers to The Early Materials Program 29 Columbia to help design separation and barrier equipment. He also contracted with several pump manufacturers and enlisted Henry A.

More precise calculations allowed Compton to recommend sizes of production plants with greater certainty. However, critical mass 28 Critical Assembly estimates continued to vary through 1944, even after plans for production plants were well under way. In January, Bush asked Oppenheimer and Kistiakowsky to reexamine the data and make new efficiency calculations. Previous estimates had indicated that the weapon would have the destructive power of 600 tons of TNT. Oppenheimer and Kistiakowsky now concluded that it would have the equivalent power of 2,000 tons.

Percival Keith, vice president of the M. W. Kellogg Company, was recruited to direct this effort, which drew on the expertise of many companies and universities. Keith sent Kellogg researchers to The Early Materials Program 29 Columbia to help design separation and barrier equipment. He also contracted with several pump manufacturers and enlisted Henry A. Boorse and others at Columbia to work on the pump problem. 12 In late 1942, when many of the gaseous diffusion problems were known but not solved, a new development caused further complications.

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