Method for high precision compensation of photoelectric theodolite vertical angle

Abstract

The invention relates to a method for high precision compensation of vertical angles of electronic total stations and electronic theodolites with angle compensation. A mathematical model for high precision compensation of vertical angles is provided; electronic levelers are disposed respectively in directions parallel to a transverse axis and a collimation axis of a theodolite; an inclined angle of a vertical axis of the theodolite is characterized by inclined angles in directions of the transverse axis and the collimation axis of the theodolite; the inclined angles in directions of the transverse axis and the collimation axis are the measured output of the electronic levelers in corresponding directions, and are used as matrix elements to establish an initial matrix when the vertical axis of the theodolite is inclined; the rotation process during the angle measurement of the theodolite is represented by a corresponding matrix; and finally a real measuring model value of the theodolite vertical angle is obtained in the presence of vertical axis inclination errors. Compared with the prior art, the invention has the advantage that a precise mathematical model established by coordinate transformation is provided, and the new model is used in the high precision measurement of theodolite vertical angles; therefore the compensation precision is higher, and the error compensation scope is larger; and the method is easy to carry out.

Description

technical field [0001] The invention belongs to the technical field of electronic surveying and mapping instruments, and relates to a high-precision vertical angle compensation method applied to surveying and mapping instruments such as electronic total stations and electronic theodolites with angle compensation. Background technique [0002] For surveying and mapping instruments such as electronic theodolites, the premise of accurate angle measurement is that the horizontal axis, vertical axis and the collimation axis of the theodolite are orthogonal to each other, and the horizontal axis is horizontal and the vertical axis is vertical. Among them, the orthogonality between the three axes of the theodolite is the structural requirement of the instrument itself, and is one of the parameter indicators for whether the instrument is qualified when it leaves the factory. The level of the horizontal axis and the vertical axis of the vertical axis are guaranteed by the operator du...

AI Technical Summary

Problems solved by technology

[0003] At present, most of the vertical axis tilt error compensation models used by high-precision electronic theodolites and total stations at home and abroad are derived based on the principle of spherical trigonometry. During the derivation process, it is assumed that the vertical axis tilt angle is very small, and a large number of mathematical approximations processing, ignoring the coupling problem when different errors exist at the same time, therefore, the existing error compensation method can only approximately compensate the vertical axis tilt error, and cannot accurately reflect the influence of the vertical axis tilt on the actual angle measurement, and is only suitable for the vertical axis When the tilt error is small, it is not applicable to the case where the vertical axis tilt error is large

[0004] In addition, the current high-precision electronic theodolite and total station at home and abroad usually only compensate for the influence of the vertical axis tilt error on the measurement of the horizontal angle, and rarely compensate for the measurement of the vertical angle.

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