Finding Eulerian angles
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From: Allamarein on 13 Jul 2010 13:25 I have an inertial frame T0 with origin O_0 and a no-inertial frame T1 with origin in O_1. I know angular velocity w.r.t. frame T0 and frame T1. I know the velocity of O_1 in T0 referement system. I know other kinematics parameters... How can I find eulerian angles between T0 and T1?
From: Androcles on 13 Jul 2010 14:15 "Allamarein" <matteo.diplomacy(a)gmail.com> wrote in message news:3b2fa922-c96a-40b9-85b6-847c8353f4ab(a)t10g2000yqg.googlegroups.com... |I have an inertial frame T0 with origin O_0 and a no-inertial frame T1 | with origin in O_1. | I know angular velocity w.r.t. frame T0 and frame T1. | I know the velocity of O_1 in T0 referement system. | I know other kinematics parameters... | How can I find eulerian angles between T0 and T1? | By crossing the seven bridges of K�nigsberg once. http://en.wikipedia.org/wiki/Seven_Bridges_of_K%C3%B6nigsberg
From: Sam Wormley on 13 Jul 2010 15:59
On 7/13/10 12:25 PM, Allamarein wrote: > I have an inertial frame T0 with origin O_0 and a no-inertial frame T1 > with origin in O_1. > I know angular velocity w.r.t. frame T0 and frame T1. > I know the velocity of O_1 in T0 referement system. > I know other kinematics parameters... > How can I find eulerian angles between T0 and T1? You want the Euler angles of an angular orientation snapshot in time? First--make sure you define what convention you are using. Goldstein's "Classical Mechanics" definition for Euler angles serves as a reasonable standard convention. He discusses transformation matrices is sec. 4-4. This is the same convention as Goldstein. http://mathworld.wolfram.com/EulerAngles.html |