Mentz114

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I'm trying to calculate a table of x vs t, with x as the dependent variable from

this formula

[tex]t + C = \frac{1}{2}(x\sqrt( 1 - x^2) + arcsin(x) ) [/tex]

C=0.4783 is given when t=0 and x = 1/2

I thought it would be simple but my code is giving nonsensical results, viz.

a straight line ! I do get the correct answer when t =0 (1/2) and I can't find a fault in my code. My code also gives a straight line for

t = arcsin(x) + 0.5 which obviously wrong, since x = sin( t - 1/2).

Has anyone got a general algorithm for this ? I'm using simplex but I

haven't tried Newton-Ralphson

This is related to the 'Interesting Oscillator Potential' topic below.

this formula

[tex]t + C = \frac{1}{2}(x\sqrt( 1 - x^2) + arcsin(x) ) [/tex]

C=0.4783 is given when t=0 and x = 1/2

I thought it would be simple but my code is giving nonsensical results, viz.

a straight line ! I do get the correct answer when t =0 (1/2) and I can't find a fault in my code. My code also gives a straight line for

t = arcsin(x) + 0.5 which obviously wrong, since x = sin( t - 1/2).

Has anyone got a general algorithm for this ? I'm using simplex but I

haven't tried Newton-Ralphson

This is related to the 'Interesting Oscillator Potential' topic below.

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