doi: 10.17586/2226-1494-2016-16-3-533-540


EVALUATION OF ERRORS IN PARAMETERS DETERMINATION FOR THE EARTH HIGHLY ANOMALOUS GRAVITY FIELD

L. P. Staroseltsev, O. M. Yashnikova


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For citation: Staroseltsev L.P., Yashnikova O.M. Evaluation of errors in parameters determination for the Earth highly anomalous gravity field. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2016, vol. 16, no. 3, pp. 533–540. doi: 10.17586/2226-1494-2016-16-3-533-540

Abstract

Subject of Research.The paper presents research results and the simulation of errors caused by determining the Earth gravity field parameters for regions with high segmentation of gravity field. The Kalman filtering estimation of determining errors is shown. Method. Simulation model for the realization of inertial geodetic method for determining the Earth gravity field parameters is proposed. The model is based on high-precision inertial navigation system (INS) at the free gyro and high-accuracy satellite system. The possibility of finding the conformity between the determined and stochastic approaches in gravity potential modeling is shown with the example of a point-mass model. Main Results. Computer simulation shows that for determining the Earth gravity field parameters gyro error model can be reduced to two significant indexes, one for each gyro. It is also shown that for regions with high segmentation of gravity field point-mass model can be used. This model is a superposition of attractive and repulsive masses - the so-called gravitational dipole. Practical Relevance. The reduction of gyro error model can reduce the dimension of the Kalman filter used in the integrated system, which decreases the computation time and increases the visibility of the state vector. Finding the conformity between the determined and stochastic approaches allows the application of determined and statistical terminology. Also it helps to create a simulation model for regions with high segmentation of gravity field.


Keywords: Earth gravitational field parameters, inertial geodetic method, gravity field model

Acknowledgements. This work was supported by the Russian Science Foundation, project No. 14-29-00160

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