Solving of boundary-value and optimization problems related to ballistic design basing on grid function visualizations

Аuthors

Benevolsky S. V.^1*, Goncharenko V. I.^2**

1. Bauman Moscow State Technical University, MSTU, 5, bldg. 1, 2-nd Baumanskaya str., Moscow, 105005, Russia
2. Moscow Aviation Institute (National Research University), 4, Volokolamskoe shosse, Moscow, А-80, GSP-3, 125993, Russia

*e-mail: mgtu-bsv@yandex.ru
**e-mail: fvo@mai.ru, vladimirgonch@mail.ru

Abstract

A non-standard method is suggested to solve boundary-value ballistic problems basing on usage of unified mathematical models for flight vehicle motion on powered trajectory segment as well as on a surface visualization for appropriate boundary or optimization conditions. An application is demonstrated for this method to compute maximum flight range and realizable flight time range when lunching intercontinental ballistic missiles to reach a predetermined range taking into account some limitations concerning an area of warhead reentry for fixed launch directions.

Keywords:

mathematical model of flying vehicle motion, maximal flight range, visualization of grid functions, motion control program, piecewise approximation, isoline graphs