N^ THE GROUNDWORK OF PRACTICAL NAVAL GUNNERY GROUNDWORK THE OF PRACTICAL NAVAL GUNNERY A Study of the Principles and Practice of Exterior Ballistics, as Applied to Naval Gunnery And of the Computation and Use of Ballistic and Range Tables By PHILIP R. ALGER Professor of Mathematics, U. S. Navy Revised and Extended to Include the Formulas and Methodsof Colonel James M. Ingalls, U. S. Army By the Officers on Duty in the Department of Ordnance and Gunnery United States Naval Academy 1914-15 ANMAPOLIS, MD. THE UNITED STATES NAVAL INSTITUTE 1915 ^^ COPTRIGHT, 1915, BY P. C. ALLEN Sec.and Tkeas. U. S. Naval Institute c^ Column : : ; PREFACE 6 ' '• (a) An arrangement that would appear more logical and consecutive to a mid- shipman taking up the study of the subject for the first time. (b) A more clear distinction between the methods and formula? that are purely educational and those that are actually used in practice. (c) The rendering more easily understood of quite a number of points in the older text book that seemed in the past to give great trouble to the midshipmen in their study of the subject. (d) The modification of the problems given in the textbook to make them apply to modern United States Naval Ordnance. The problems in the older text book dealt largely with foreign ordnance, and exclusively with guns, projectiles, velocities, etc., that are now obsolete, or nearly so; and, while many of the older problems have been retained as valuable examples of principles, a large number of problems dealing with present-day conditions and ordnance have been added. (e) An effort has been made to give a complete discussion of the practical use of the range tables, a subject but lightly touched upon in the older text book. In orderto accomplish this a large number of officers, in the Atlantic fleet and elsewhere, were requested to contribute such knowledge as they might have on this subject, and the matter received from them has been incorporated in the chapter on this subject. The discussion of this point should therefore include all the most up-to-date practice in the use of therange tables. 4. In preparing this revision for the purpose indicated in the preceding para- graphs, the logical treatment of the subject seemed to indicate its division under two general heads, as follows (A) The treatment of the trajectory as a plane curve; which, in turn, logically subdivides itself under two sub-heads, as follows (a) General definitions, etc.; the trajectory in vacuum; the resistance of the air and the retardation due thereto; the ballistic coefficient in its fullest form; the equa- tion to the trajectory in air under certain specified and limited conditions; and the approximate determination of the elements of the trajectory by the use of the above special equation. In other words, the features that are of educational rather than of practical value, but which are necessary to an understanding of the practical methods that are to follow. (b) The more exact and practical theories and formulae; that is, the ones that are generally used in practical work. This subdivision is not a rigid one, as it will be seen that some of the approximate formulae and methods are sufficiently accurate to permit of theiruse in practice, and they are so used; but the general statement of the subdivision may be accepted as logical, with this one reservation. (B) Aconsideration of the variation of the actual trajectory from a plane curve, which treats of the influence upon the motion of the projectile of drift and wind, and of the effect upon the fall of the projectile relative to the target of motion of the gun and target. That is, having treated under the first division those computations thatare notmaterially affectedbythe variations of the trajectory from a plane curve in the second division we treat of the effect of such deviations upon accuracy of fire. In other words, there are here to be discussed the steps taken to overcome the inaccu- racies in fire caused by the variation of the trajectory from a plane curve, in order to hit a moving target with a shot fired from a gun mounted on a moving platform, when there is a wind blowing. 5. Following these natural and logical divisions of the subject comes a' full discussion of the range tables, column by column, and of the methods of computing the data contained in them, and of using this data after it has been computed and tabulated.
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