- #1
ektov_konstantin
- 5
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- TL;DR Summary
- Please, check if made a mistake. I get bad result but can`t understand where is my mistake
I have a function in polar coordinates:
t (rho, phi) = H^2 / (H^2 + rho^2) (1)
I have moved the center to the right and want to get the new formulae.
I use cartesian coordinates to simplify the transformation (L = 232.5).
rho^2 = (x')^2+(y')^2
x' = x-L (2)
y' = y
Then I substitute expression (2) into (1) and go back to the polar coordinates (using x=rho*cos(phi) and y=rho*sin(phi) ). The result is:
t (rho, phi) = H^2 / (H^2 + rho^2 - 2 * rho * L * cos(phi) )**2 (3)
The first picture is for (1) function.
The second picture is for (3).
t (rho, phi) = H^2 / (H^2 + rho^2) (1)
I have moved the center to the right and want to get the new formulae.
I use cartesian coordinates to simplify the transformation (L = 232.5).
rho^2 = (x')^2+(y')^2
x' = x-L (2)
y' = y
Then I substitute expression (2) into (1) and go back to the polar coordinates (using x=rho*cos(phi) and y=rho*sin(phi) ). The result is:
t (rho, phi) = H^2 / (H^2 + rho^2 - 2 * rho * L * cos(phi) )**2 (3)
The first picture is for (1) function.
The second picture is for (3).