Advanced Investigation of Rocket Motion Equations through Bistatic Synthetic Aperture Radar (SAR) Techniques

Abstract

This paper investigates the application of bistatic Synthetic Aperture Radar (SAR) technology in the analysis and optimization of rocket motion within the equatorial plane. Bistatic SAR is an advanced remote sensing technology that enables the precise measurement of the position and velocity of objects, including rockets. By incorporating bistatic SAR data, we aim to provide a comprehensive and in-depth understanding of rocket motion under various scenarios and parameters. We first study the basic motion equations of the rocket under the influence of pure gravity and Earth’s rotation, introducing the concept of Coriolis force. Subsequently, we conduct a detailed analysis of the rocket’s dynamics, including factors such as thrust, lift, and drag, as well as their impact on the rocket at different stages. We also discuss the motion differential equations during the rocket separation process, focusing on the dynamic characteristics of the Musk-style rocket during the first stage separation and return landing. Throughout the derivation process, we employ multiple assumptions and parameters, making the rocket’s motion differential equations more complex and thus closer to actual situations. The integration of bistatic SAR technology with the rocket’s motion analysis provides a novel approach to improving rocket performance and navigation capabilities.