Abstract
The paper looks at the modelling of inertial system outputs from three different viewpoints. First, a general mathematical classification of the problem is attempted. This leads to the discussion of a special class of nonlinear systems of differential equations which can be used to describe nonconservative dynamical systems. Second, linear perturbations of this system around a reference trajectory are considered. They lead to an error model for inertial positioning which can be solved by an eigenvector approach. Third, the interaction of gravity field effects and system errors is discussed using inverse Laplace transform techniques for a simple model. This leads to some interesting conclusions on the optimal design of gravity field surveys with inertial systems. In each step, open problems are outlined and possible solution approaches are indicated.
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