Mathematica notebook not working

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The user is attempting to find Rydberg's constant using a NonLinearModelFit in Mathematica with a specific function involving angles and parameters. They have calculated a variable p based on known measurements but are struggling to implement the fit method correctly. The user requests assistance in troubleshooting the issue, suggesting that others try setting an initial value for p at 0. The discussion centers on resolving the technical difficulties with Mathematica rather than the underlying physics of the problem. Effective solutions or insights into the fitting process in Mathematica are sought.
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Homework Statement


I am trying to find Rydberg's constant. I took measurements using a spectroscope and now I want to do a NonLinearModelFit on the following function:

\theta = \theta_0 + \alpha + \Arcsin{p k - \Sin{\alpha}}

Where p is 1/(d*Rh). I know d and so I can calculate R_H if I know p. Problem is, I can not get the fit method to work in mathematica, but I don't see what is wrong.

The Attempt at a Solution



View attachment 24028

Could anyone please take a look?
 
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Try giving p an initial value of 0.
 
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