Open AccessGyro movement equations
Author(s) -
P. Díaz,
Ana Teresa Gutiérrez del Cid,
J Granados,
Antonio Velazquez,
J. A. Velázquez
Publication year - 2021
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1723/1/012064
Subject(s) - angular velocity , physics , equations of motion , position (finance) , meridian (astronomy) , differential equation , rotation (mathematics) , rotor (electric) , classical mechanics , mathematical analysis , geometry , geodesy , mathematics , geology , finance , quantum mechanics , astronomy , economics
In this work the motion equations of a gyro with essential characteristics were constructed, where the rotor rotates to reason ψ around an axis mounted on a single universal joint, which can rotate freely around the vertical axis. The angle formed by the rotor shaft and the plane of the meridian is denoted with θ, latitude, the angle of the position on earth is denoted λ and with ωe the angular velocity of the Earth around its axis. Based on the formulation of Lagrange, the motion equations governing this system were obtained, differential equations were also solved with the standardized Runge-Kutta method of order 4. Also, we present several phase spaces that show the temporal evolution of the system.