Learn Conical Coordinates with Mathworld

[TheDestroyer]

Anyone here can teach me the conical coordinates?

I tried reading it in mathworld, but didn't understand it, anyone can give me the direct transformation, jacobian, some transforms and use of it?

 

[robphy]

After Googling, I believe these may be useful

http://arnold.usno.navy.mil/murison/Maple/precession/Precession16.html

http://mathworld.wolfram.com/HelmholtzDifferentialEquationConicalCoordinates.html

http://www.maths.soton.ac.uk/staff/Andersson/MA361/node50.html

 

[arildno]

It seems to me that conical coordinates are only elegant when describing a cone..

 

[Drakus]

My colleagues and I derived a set of conical coordinates to calculate the geodesic distance on the light cone (S. P. Drake, B. D. O. Anderson, and C. B. Yu, "Causal association of electromagnetic signals using the Cayley-Menger determinant," Applied Physics Letters 95 (3), 034106 (2009)).

These conical coordinates are also described here (http://www.physics.adelaide.edu.au/theory/staff/sdrake/conicalCoords.html" )

 

[CellCoree]

Hi there,

Conical coordinates are a type of coordinate system that is used to describe points in three-dimensional space. It is similar to other coordinate systems like Cartesian or spherical coordinates, but it is specifically designed to describe points on a cone-shaped surface.

If you are having trouble understanding the concept of conical coordinates, I recommend seeking out a tutor or attending a workshop on the topic. Mathworld is a great resource, but it may not provide the level of explanation you need to fully grasp the concept.

As for the direct transformation and Jacobian for conical coordinates, these can be found in most math textbooks or online resources. It would be best to consult these sources for a thorough explanation and examples of how to use them.

In terms of practical applications, conical coordinates are often used in physics and engineering to describe the motion and forces acting on objects that move along a curved path, such as a rocket or missile. They can also be used in geometric calculations and in computer graphics.

I hope this helps clarify the concept of conical coordinates for you. Keep exploring and seeking out resources to deepen your understanding. Good luck!