Analysis of the Motion of a Gyro-theodolite

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Wang Hong-lan. Analysis of the Motion of a Gyro-theodolite[J]. Applied Mathematics and Mechanics, 1987, 8(9): 839-848.

Citation:

Wang Hong-lan. Analysis of the Motion of a Gyro-theodolite[J]. Applied Mathematics and Mechanics, 1987, 8(9): 839-848.

Citation:

Wang Hong-lan. Analysis of the Motion of a Gyro-theodolite[J]. Applied Mathematics and Mechanics, 1987, 8(9): 839-848.

Abstract

With the method of analytical mechanics, this paper studies the motions of a gyro-theodolite under the action of(1) the torque of gravity only,(2) the torque applied by the band suspension,(3) the torque of the band suspension with air damping considered, the equations of motion are then established and their solutions are found. Furthermore, analysis of the law of Motion and the behaviour of gyro-theodolite during the orientation is made.

[1]	陈滨,《分析动力学》,北京大学出版社(待出版).
[2]	朱照宣、周起钊、殷金生,《理论力学》,北京大学出版社(1982),217-255
[3]	E.Л.尼古莱,《迥转仪的理论》,张燮译,科学出版社(1956),84-93
[4]	肖尚彬、董秋泉,《陀螺力学》,人民教育出版社(1980),59-61.
[5]	煤炭科学院唐山分院陀螺经纬仪组,《陀螺经纬仪基本原理、结构与定向》,煤炭工业出版社(1982),77-84.
[6]	中国矿业学院测量教研室,《矿山测量学》,煤炭工业出版社(1979),159-180.
[7]	李青岳,《工程测量学》,测绘出版社(1984),245-272.
[8]	刘延伯,《工程测量》,冶金工业出版社(1984),248-272.
[9]	王洪兰,陀螺经纬仪定向的力学原理,矿山测量,3(1985),43-46.
[10]	Казаковснии Д.А.ит.д.,Маркщеиберское Дело,углетехиздат Москва(1959)461-470.
[11]	Arnold,R.N,and L,Maunder,Ggrodynamics,Academic Press,New York and London(1961).