The Equivalence of Mathematical Models for Coordinate Systems Transformation in the Adjustment for the Combination of Satellite and Terrestrial Network
A study on the principal component analysis (PCA) was done, taking the first canonical variable coordinate values as the phenotypic character gradient axes (PCGA).
In order to analyze the relationship between two coordinate systems, which is attached respectively to the diving spherical gear and the driven spherical gear, the orientation cosine matrix method is utilized.
Taking the ILS and BIH systems as examples, we have discussed the effects on polar coordinate systems influenced by various errors in latitude observations, including random error, periodic errors, systematic (constant) error and its sudden change, linear systimatic error, etc.
Okuda’S method, with which the local non-polar terms are determined, has been carefully analyzed, and its incorrectness showed. This method could neither determine the local terms nor improve the accuracy of the pole coordinate. Finally, the statistieal property of the Okuda’s method has been discussed.
This paperd analyses some systematic errors of this instrument, It includes the graduating error of the scales, the linear error of guiding steel straight edges, the angle error of the coordinate system and the periodic and progressive error of the spiral micrometer.