area mach relation find M(x)

I'm trying to find M(x), mach number, with a range of 1 to 15 but in 0.2 intervals. I only know A_star, Pt, Tt, Pinf, gamma, and R. Not A(x)/A_star, the area ratio. So, I'm confused on how to find M(x) without the full area ratio.

For my code I have this so far. Gamma is known, and so is A_star. I need to find Area ratio so I can find A(x).

%M(x), ranging from 1 to 15
%simply eq.
g1 = g-1;
g2 = g+1;
%Find A(x) based on M(x) 
M = 1:02:15;
Aratio = zeros(size(M));
for i = 1:M
    Aratio(i) = (1/M(i))*(((2/g2)*(1+(g1/2)*M(i)^2))^((1/2)*(g2/g1)));
end

[darova]

Can you please show source formulas or equations?

You don't need to use for loop since you defined M

M = 1:02:15;
Aratio = 1./M.*( (2/g2*(1+g1/2*M.^2)).^(1/2*g2/g1) );

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[Hailey]

Here is the equation. Would a for loop be easiest for this? I know the intrevals for M(x), just need to get the ratio per each intreval of M(x). Thank you! I hope that made sense.

[darova]

You can't find a solution if you have 2 uknown variables with 1 equation

Maybe you have more data?

[Hailey]

I have M(x) though. It's a range of numbers. I just don't know how to find the ratio value per M(x) range. Thank you!

[Torsten]

To calculate A(x)/A_star from M(x), the code you posted is correct.

[Hailey]

Yes, the equation is right, but the for loop is majorly wrong. I'm not getting the answer that's needed for the equation per Mach number.

I know how to do it in excel, but MATLAB I don't understand the language.

[Torsten]

for i = 1:numel(M)
    Aratio(i) = (1/M(i))*(((2/g2)*(1+(g1/2)*M(i)^2))^((1/2)*(g2/g1)));
end

is the correct for-loop to calculate A(x)/A_star from M(x) according to your formula.