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Modern Exterior Ballistics is a comprehensive text covering the basic free flight dynamics of symmetric projectiles. The book provides a historical perspective of early developments in the 19th century, the technology leading to World War I and that through World War II into the modern post-war era. Historical topics include the first ballistic firing tables, early wind tunnel experiments, the development of free flight spark ranges and the first supercomputer, ENIAC, which was designed to compute artillery trajectories for the U.S. Army Ballistic Research Laboratory. The level of the text requires an undergraduate education in mathematics, physics, and mechanical or aerospace engineering. The basic principles of ballistic science are developed from a comprehensive definition of the aerodynamic forces that control the flight dynamics of symmetric projectiles. The author carefully starts with the basic vacuum point mass trajectory, adds the effects of drag, discusses the action of winds, simple flat fire approximations, Coriolis effects and concludes with the classic modified point mass trajectories. Included in the discussion are analytical methods, change of variables from time to distance, numerical solutions and a chapter on the Siacci Method. The Siacci Method provides a historical perspective for computing flat fire trajectories by simple quadrature and is used in the sporting arms industy. The final six chapters of the book present an extensive physical and mathematical analysis of the motion of symmetric projectiles. The linearized equations of angular and swerving motion are derived in detail. The effects of mass asymmetry, in-bore yaw, cross wind and launch in a slipstream are discussed. Special consideration is given to the derivation and explanation of aerodynamic jump. These subjects are then expanded to include a complete chapter on nonlinear aerodynamic forces and moments. The final chapter in the book presents an overview of experimental methods for measuring the flight dynamics of projectiles. The great forte of Modern Exterior Ballistics is the author's effort to provide many fine specific examples of projectile motion illustrating key flight behaviors. The extensive collection of data on projectiles from small arms to artillery used to substantiate calculations and examples is alone a valuable reference. The ultimate joy of the book is the incomparable comprehensive set of flow field shadow graphs illustrating the entire spectrum of projectile flight from subsonic, through transonic and supersonic. The volume is a necessary addition to any undergraduate or graduate course in flight dynamics.
"Elements of Exterior Ballistics: Long Range Shooting" is a concise but comprehensive instructive book on exterior ballistics applied into long-range shooting with small arms. The foundations of the book are innovatively related to the exterior ballistics of point-mass projectile as well as to the new findings and contemporary ballistics methods presented in my preceding books. The book is designed for exterior ballistics professionals, amateurs, and competitive shooters interested in long-range shooting and, in general, in exterior ballistics. Though the exterior ballistics applications are related to long-range shootings with small arms, the reader can easily extend the ballistics techniques to the artillery fire. The book has a large number of illustration examples to demonstrate the exterior ballistics solving techniques and to help the readers understand the ballistics concepts and principles as well as the challenging theoretical and practical applications.
The noteworthy findings and innovative methods of predicting projectile trajectory, introduced in my books Exterior Ballistics: A New Approach (EBNA), Xlibris, 2010; and Exterior Ballistics with Applications (EBA3e), Xlibris, third edition, December 2011, require a methodical approach and further development. As result, the amateurs and professionals interested in exterior ballistics of firearms, and especially in long-range shooting with small arms, have a new book, Exterior Ballistics: The Remarkable Methods (EBRM), that aims to enrich the foundations of modern exterior ballistics and to lessen the complexity of physics and mathematics techniques in use. Exterior Ballistics: The Remarkable Methods is a book that combines and develops further the methods introduced in EBA3e, EBNA, and in the Exterior Ballistics of Small Arms (EBSA, Xlibris 2009). The foundations of the book are mainly the findings and the innovative ballistics methods presented in EBA3e and EBNA. The remarkable methods of exterior ballistics presented in this new book include: • The methods of determining the function of resistance G(v) of a given bullet (i=1) using range tables, or the experimental data measurements of three or four coordinates at the points of projectile impact. • The model of “Tangent Law of Trajectory Refraction” and the related set of formulas that we use to study the trajectories of projectiles in nonstandard atmosphere. • Series expansion method and the techniques of (second to sixth order) parabolas we employ to predict with great accuracy the projectile trajectory. • The exceptional Siacci’s methods that we apply as well for the projectile trajectory in nonstandard atmosphere and in inclined shooting combined with the tangent law of trajectory refraction. It is important to note that using the similarity laws of fluid dynamics we have obtained the “tangent law of projectile refraction,” which represents a progress with respect to “Newton–Snell’s law” on projectile refraction. For better understanding of the information presented in the book, the reader should refer to my three preceding books on exterior ballistics, already published by Xlibris, although most of the material is self-contained and clear enough to be accessed and assimilated by a wide range of readers. The system of units used in the book is the International System (SI). For readers that are unfamiliar with the SI system it is not difficult to become accustomed and use the materials presented in the book to benefit from the simple illustrations, exercises, and PC programs that, at the same time, give answers to many problems encountered in practice. My studies and writing work in exterior ballistics intend to find new and simple mathematical models and methods to predict the elements of the projectile trajectory. I believe that I have achieved some good results, which need to be further developed. George Klimi, PhD New York, December 2012 [email protected] [email protected] [email protected]
The updated second edition of Handbook of Firearms and Ballistics includes recent developed analytical techniques and methodologies with a more comprehensive glossary, additional material, and new case studies. With a new chapter on the determination of bullet caliber via x-ray photography, this edition includes revised material on muzzle attachments, proof marks, non-toxic bullets, and gunshot residues. Essential reading for forensic scientists, firearms examiners, defense and prosecution practitioners, the judiciary, and police force, this book is also a helpful reference guide for undergraduate and graduate forensic science students.
The science of small arms ballistics is seriously underdeveloped and underappreciated. This unique and different book is a comprehensive study that fills a legitimate need for a work that covers the engineering and theory of small arms ballistics. The author shares his extensive research on working out the science of small arm ballistics mathematically and explains his theories, such as the field-effect and the field-effect over trajectory and time, along with new theories on interior, exterior, and terminal ballistics. Each equation describes a mathematical relationship, such as transfer of energy, and has an engineering application to help solve a design problem. Some equations, such as the calculation of bullet length with a given muzzle velocity and rate of twist, represent manipulations of those equations. Some other equations represent a set of mathematical instructions to resolve a technical problem, such as the computation of trajectory or depth of penetration of living tissue in real-time.
Containing the proceedings of the Third International Conference on Computational Ballistics, this book presents new ideas and advanced developments in the field of study of Computational Ballistics. Ballistic studies include applications as varied as the study of the structural and control behavior of rockets and communication satellites; bird strike effects on commercial aircraft, terrorist attacks and automobile crack worthiness modelling. Many basic problems of ballistics are similar to those in other fields of applications, such as combustion, heat conduction, in-flight structural behaviour, trajectory related issues, contact, impact, penetration, structural response to shock waves and many others.A valuable contribution to its field, this text will be of interest to researchers involved in the different areas of computational ballistics and their relationship between computational methods and experiments. Notable topics include: Systems and Technolog; Combustion and Heat Transfer; Propellants; Fluid Dynamics; Fluid Flow and Aerodynamics; In-Flight Structural Behaviour and Material Response; Guidance and Control; Perforation and Penetration Mechanics; Fluid-structure Interaction; Experimental Mechanics/ballistic and Field Testing; High Rate Loads; Composite Material; Shock and Impact.