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Author Topic: polar coord on polar plane  (Read 1314 times)
Description: finding secondary theta on polar coordinate system
0 Members and 1 Guest are viewing this topic.
arturv
Guest
« on: March 29, 2012, 02:52:49 AM »

Hello people of math

I want to generate polar coordinates on polar plane. I have r2 but donít really know how to find θ2 properly

Code:
// polar coordinates
r = sqrt( s*s + t*t );
th = atan( s, t );

a = 0.2  // r coordinate of new polar centre
b = 3.1  // theta coordinate of new polar centre

r2 = r*r-2*r*a*cos(th-b)+a*a; // calculating new r
th2 = atan( r - a, th - b ); // calculating new theta using cartesian equation

so Iím using cartesian equation to find th2 but obviously its not really correct. There is some bending in theta direction and other issues when crossing the centre etc..

Just wondering if anyone knows a proper equation

Thanks
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arturv
Guest
« Reply #1 on: March 29, 2012, 02:57:22 AM »

actually, maybe I should ask this question in math section?
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DarkBeam
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Posts: 2512


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« Reply #2 on: March 29, 2012, 11:45:43 AM »

actually, maybe I should ask this question in math section?

Maybe. wink
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No sweat, guardian of wisdom!
arturv
Guest
« Reply #3 on: March 30, 2012, 02:01:15 AM »

got it

  theta' = arctan([r sin(theta)-r0sin(theta0)]/[r cos(theta)-r0cos(theta0)])

or

  theta' = atan2(r sin(theta) - r0 sin(theta0), r cos(theta) - r0 cos(theta0))
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