Analysis of filtering and smoothing techniques as applied to aerogravimetry

Abstract

The problem of gravity anomaly estimation aboard an aircraft solved by using the data from a gravimeter and the differential satellite navigation system is formulated in the framework of the optimal filtering and smoothing theory. Relying upon this statement both the problem of the potential accuracy analysis and problem of designing efficient filtering and smoothing algorithms are solved. In particular, the efficiency of filtering and smoothing in estimating gravity anomalies using various satellite measurements is investigated. A unified algorithm for solving the filtering and smoothing problems is suggested. An example illustrating the results obtained is considered.