Curvilinear coordinates from the gravitational field and the related application in orientation and navigation

doi:10.11947/j.AGCS.2021.20200216

Abstract

Abstract: Three independent functions are introduced from the gravimetry and gradiometry, so a curvilinear system of coordinates from the gravitational field can be constructed. Then potential applications of the coordinates in orientation or navigation are discussed. To realize orientation or navigation for some object, the observation equations are established by using the gravimetry and gradiometry, and the coordinates of the object can be solved from the equations. Since the observation equations are nonlinear, the linearization for them and the iterative arithmetic are required. To examine the accuracies of the orientation or navigation by using the curvilinear coordinates proposed in the paper, some arithmetic examples are given with the help of EGM2008 gravity field model, and the computational results illustrate that the proposed method is feasible.

Key words: curvilinear coordinates, invariants of gravitational field, linearization, positioning and navigation

CLC Number:

P228

YU Jinhai, XU Huan, WAN Xiaoyun. Curvilinear coordinates from the gravitational field and the related application in orientation and navigation[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(2): 153-159.

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