A Theoretical Framework for Analysis of Lateral Position Errors in VOR Jet-Route Systems

Abstract

In this paper we investigate the applicability of a second-order differential equation in the physics of mechanical vibration as a model for aircraft lateral position errors obtained from the VOR environment. Navigational interpretations of the parameters in the model are constructed analagous to a vibrating mechanical system. One interesting observation is noted and used to narrow down the potential range of a key parameter. Solutions to the second-order differential equation are described, and the properties and phenomena implied by the model are explained. In extending the theoretical reasoning, we discover phenomena that are embedded in the aggregated data. We also find ways to explain the most salient features of VOR position errors based on the suggested model. Steps required for future empirical confirmation, clarification, and calibration of parameter values are sketched. This paper is only intended as a starting point of a further systematic construction of theory and models useful for the design, evaluation, and regulation of VOR navigation systems.