Aspect of a Rocket from Cyroscopic Data

摘要

Formulas are derived which determine the aspect of a rocket, the angle of attack of the rocket axis with respect to the velocity vector or any other given vector, the aspect of any vector perpendicular to the rocket axis, and the angle of attack of such a vector with respect to the velocity vector or any other given vector. The aspect of the rocket axis and vectors perpendicular to the rocket axis are expressed in terms of direction cosine angles, azimuth, and elevation. The attack angles are then obtained as functions of the direction cosines. The parameters describing the behavior of a rocket in flight are given as functions of the yaw and pitch of the rocket axis, the spin of the rocket, and the flight time. The inputs are the trajectory data and the yaw, pitch, and roll data in digital form. A general computer code is developed which is capable of automatically processing the input data to provide the flight parameters as functions of the flight time. To demonstrate the system developed, the flight parameters of a specific rocket flight are reduced from data generated by Whittaker 'Mars' roll stabilized two axis gyro on board the rocket. The trajectory data for the rocket is taken from radar beacon data. The 7044 computer program for this system and the resulting output data are exhibited. (Author)