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Orthogonal curvilinear coordinates Watch

1. What are orthogonal coordinates?
Are they just coordinates all perpendicular to one another like the below

Attachment 524393524395

And in the attached, what are scale factors?
Attached Images

2. anyone?
3. Yeah I think for orthogonal coordinates it's just where all directions are perpendicular to each other.

Scale factors is explained a bit more clearly on here: http://www.luc.edu/faculty/dslavsk/c...rscomplete.pdf
4. (Original post by JokesOnYoo)
What are orthogonal coordinates?
They're basically a set of coordinates in which the coordinate surfaces (in 3 dimensions, otherwise it's coordinate curves[*]) all meet at right angles. So for example are orthogonal coordinates since their coordinate surfaces (x-y, z-y, x-z planes) all intersect at right angles to one another.
[*] AFAIK coordinate curves are the result of fixing one coordinate and varying the others. In 3 dimensions, this forms a plane

[**] I most likely don't know what I'm talking about but since nobody else has replied...

Edit: nevermind.
5. (Original post by rayquaza17)
Yeah I think for orthogonal coordinates it's just where all directions are perpendicular to each other.

Scale factors is explained a bit more clearly on here: http://www.luc.edu/faculty/dslavsk/c...rscomplete.pdf
This is why i love tsr, thanks for that link.
repped.
6. (Original post by JokesOnYoo)
What are orthogonal coordinates?
See here.
7. (Original post by JokesOnYoo)
What are orthogonal coordinates?
Are they just coordinates all perpendicular to one another like the below

Attachment 524393524395

And in the attached, what are scale factors?
If you drew tangents to the curves at those point where they meet the angle between tangents is 90.
All these intersections (>2) are collinear iff they lie on common line.

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