High-Precision Navigation on Analytical Trajectories Using Strapdown Inertial-Satellite Navigation System

Analytical models of spatial trajectories of mobile objects during synthesis of algorithmic support in integrated inertial-satellite navigation systems is considered. In the paper, spatial analytical model of the trajectory means the trajectory on the field of the Earth, for which an analytical relationship between the spatial coordinates (latitude and longitude) of the object moving along this trajectory exists. In this work, the trajectory of the object in the area of the Earth with a constant azimuthal angle (so-called loxodromic model) is considered. The use of this model is possible for a very wide class of objects moving in pre-known spatial trajectories, which can be approximated with high accuracy in a set of loxodromic trajectories. One of the advantages of such representation is invariance to the nature of the object’s movement and type of the physical model. Presented models have important predominant features, which are the reduction in the dimension of the evaluated vector and the fundamental problem solution in a posterior assessment of the object parameters by autonomous measurers during the disappearance of satellite messages. The illustrative example is presented for an integrated inertial navigation satellite system.