Angular velocity and acceleration analysis for ground-level tracking system

Many fire control systems nowadays need real-time tracking and pointing to targets. In their design, demonstration and analysis, it is often necessary to estimate the angular velocity, angular acceleration and their variation law to provide basis for designing tracking and pointing system. However, systematic exposition for these issues is hard to find. Therefore, theoretical deductions are strictly made for often-involved long-range space targets to obtain quantitive formulae about angular velocity, angular acceleration as well as their maximum values. The deductions specially aim at ground-level tracking systems. Results of theoretical calculations with these formulae are compared with some real-measured data from a target. Conformity of the two types of results proves all the formulae are correct. The obtained formulae are also fit for short-range targets, which can be seen from the procedure of deduction.