Accession Number : AD0286069

Title :   A MATHEMATICAL MODEL FOR A BALLISTIC ROCKET

Corporate Author : ARMY RESEARCH OFFICE WASHINGTON D C

Personal Author(s) : WALTER,EVERETT L.

Report Date : DEC 1962

Pagination or Media Count : 1

Abstract : The importance of mathematical models in designing a rocket is apparent in savings of time and money. Testing of certai theories of rocket flight can be done only by mathematical models. Such a model is given for a ballistic rocket, one for which there is no guidance after launching. It consists of six simultaneous differential equations which can be numerically solved rather quickly on a high-speed computer. All necessary parameters are completely defined, but the equations of motion are given without proof. The use of perturbation equations, which describe changes in the trajectory due to small changes in the atmospheric or rocket data, is discussed, indicating how their use can greatly increase computing speed. Numerical integration of the equations is discussed, together with the characteristics one would desire in a computer program which make the model as complete and flexible as possible. Some indication of computing speed is given, as well as the time required to program the model for a high speed computer. Finally, several applications for which the model was designed are discussed. (Author)

Descriptors :   *BALLISTICS, *DIFFERENTIAL EQUATIONS, *DIGITAL COMPUTERS, *GUIDED MISSILE TRAJECTORIES, *GUIDED MISSILES, *NUMERICAL ANALYSIS, *ROCKETS

Distribution Statement : APPROVED FOR PUBLIC RELEASE