A Qualitative Comparison between the Proportional Navigation and Differential Geometry Guidance Algorithms

Abstract

This paper discusses and presents an overview of the proportional navigation (PN) guidance law as well as the differential geometry (DG) guidance algorithm that are used to develop the intercept course of a certain target. The intent of this study is to illustrate the advantages of the guidance algorithm generated based on the concepts of differential geometry against the well-known PN guidance law. The basic principles behind the both algorithms are mentioned. Moreover, the different versions of the PN approach is briefly clarified to show the essential improvement from one version to the other. The paper terminated with numerous two-dimension simulation figures to give a great value of visual aids, illustrating the significant relations and main features and properties of both algorithms.

Keywords

• Homing Guidance
• Differential Geometry
• Proportional Navigation
• Intercept
• Engagement
• Missile; Latax
• Air Defense Systems (ADS)
• Line-Of-Sight(LOS)