Register to reply

Scale factors and the Jacobian Matrix

by Andromon
Tags: factors, jacobian, matrix, scale
Share this thread:
Mar11-13, 05:00 AM
P: 3
So here is my problem: I'm very bad when using coordinates others than cartesian ones, and I know taking Mechanics of Lagrange and Hamilton and I fin difficult to find the velocities expressions in curvilinear coordinates.

So here is my question: is there anyway to relate the scale factors (and everything else, from radius vector expression to operators expressoins) just using the Jacobian or derivates matrix? Like you can do in Thermodynamics

I have not seen it done in any book, but I cannot see why not. Also, if it can't be done, what will be a quickest method or passing from everything in one coordinate frame to another?

Thank you.
Phys.Org News Partner Mathematics news on
Heat distributions help researchers to understand curved space
Professor quantifies how 'one thing leads to another'
Team announces construction of a formal computer-verified proof of the Kepler conjecture

Register to reply

Related Discussions
Scale Factors and Jacobians Calculus 2
The Jacobian Matrix. Calculus 0
Astronomy - Distance with different scale factors Introductory Physics Homework 3
Area and length scale factors Precalculus Mathematics Homework 2
Prove jacobian matrix is identity of matrix of order 3 Calculus & Beyond Homework 3