Transforming coordinate system into a rotating one


by haael
Tags: angular momentum, equaiton solving, kinematics, numerical analysis, rotation
haael
haael is offline
#1
Jun30-13, 10:57 AM
P: 397
I want to solve a following problem.

Imagine a collection of massive points. Each point has mass, position, velocity, moment of inertia, orientation and spin. We can calculate its total center of mass, total momentum and total angular momentum.
The task is to transform the coordinate system so that all 3 of these parameters is zero.

For the center of mass and total momentum it is easy. The problem is with the angular momentum. I need to transform a non-rotating coordinate system into a rotating one. I know the formula for such transformation, however I don't know how to find the neccessary angular velocity vector.

The particles may undergo linear and angular accelerations, however we can assume that the total momentum and total angular momentum is conserved.

The equation I got involves a double cross product and a derivative of the total moment of inertia. I bet someone already solved it, so if you know any papers or hints, please let me know. The numerical sollution will suffice.
Phys.Org News Partner Mathematics news on Phys.org
Hyperbolic homogeneous polynomials, oh my!
Researchers help Boston Marathon organizers plan for 2014 race
'Math detective' analyzes odds for suspicious lottery wins

Register to reply

Related Discussions
apparent weight / Rotating coordinate system Calculus & Beyond Homework 1
Need help rotating a parabola on cartesian coordinate system General Math 4
rotating coordinate system Introductory Physics Homework 2
geodesics in a rotating coordinate system Special & General Relativity 4
Convert this rectangular coordinate system point to spherical coordinate system Calculus & Beyond Homework 1