Content

Phi-beta fit function

pyimgalgos/src/FiberAngles.py

y = funcy_l1_v1(x, phi_deg, bet_deg, DoR=392/913.27, sgnrt=-1.)

Two solutions of quadratic equation

• POS: y = -B + sqrt(B*B-C)
• NEG: y = -B - sqrt(B*B-C)

Legend:

• dot curves for negative beta
• black bold curve for beta=0
• solid curves for positive beta

Arc region

wide range of x:

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narrow range of x:

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Equatorial region

Problem with two roots is resolved for EQU region; sign of the root is selected the same as sign of parameter B;

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• For |beta|>~48 solution does not exist for entire range of x

Fit results

Distance between 2 peaks in Arc region

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Radius of the median point of 2 peaks in Arc region

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Fit results for for phi and beta in ARC region

Negative solution y = -B - sqrt(B*B-C)

y = funcy_l1(x, phi_deg, bet_deg, DoR=392390/913.27, sgnrt=-1.)

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Positive solution y = -B + sqrt(B*B-C)

y = funcy_l1(x, phi_deg, bet_deg, DoR=392390/913.27, sgnrt=+1.)

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beta distribution is shown for 0.1<beta_error<100

Fit results for peak list from Meng

Equatorial region

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Arc region (positive root)

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Arc region (negative root)

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