Learn Conical Coordinates with Mathworld

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    Conical Coordinates
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Discussion Overview

The discussion centers around conical coordinates, including their transformation, Jacobian, and applications. Participants express varying levels of understanding and seek clarification on the topic, referencing external resources and personal experiences.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification

Main Points Raised

  • One participant requests direct transformation and Jacobian for conical coordinates, indicating a lack of understanding from existing resources.
  • Another participant shares links to external resources that may provide useful information on conical coordinates.
  • A participant comments that conical coordinates appear to be particularly elegant for describing a cone, suggesting a specific application context.
  • A different participant mentions a derived set of conical coordinates used for calculating geodesic distance on the light cone, referencing a specific academic paper and providing a link for further reading.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus on the understanding or application of conical coordinates, with multiple viewpoints and references to different contexts remaining present.

Contextual Notes

Some assumptions about the familiarity with mathematical concepts and terminology may be missing, and the discussion does not resolve the complexities of the transformations or applications of conical coordinates.

Who May Find This Useful

Readers interested in advanced mathematics, particularly in the context of coordinate systems and their applications in physics, may find this discussion relevant.

TheDestroyer
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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?
 
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It seems to me that conical coordinates are only elegant when describing a cone..
 
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" )
 
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