Partial Derivatives Used in Trajectory Estimation
Abstract
The PeanoBaker method is applied to the integration of the variational equations to produce the partial derivatives used in satellite navigation. In this method the analytic form of the state transition partial derivatives can be factored so that numerical integration is applied only to the departures from a simplified analytical model. The advantage of using the PeanoBaker approach rather than direct integration of the variational equations is that with the PeanoBaker method numerical integration can be performed adequately with low order formulae and relatively large step sizes. Numerical results are indicated.
 Publication:

Celestial Mechanics
 Pub Date:
 March 1969
 DOI:
 10.1007/BF01230638
 Bibcode:
 1969CeMec...1..130D