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Answer by Michael E2 for Finding minimum and maximum of implicit functions
C0 = 3.201;FindMaximum[{z, 2*Ωxz == C0}, {{x, 1}, {z, 0.1}}](* {0.0984138, {x -> 0.989292, z -> 0.0984138}} *)C0 = 3.012;FindMinimum[{z, 2*Ωxz == C0}, {{x, 1}, {z, 0.1}}](* {0.234294, {x ->...
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Answer by Stelios for Finding minimum and maximum of implicit functions
You can find the stationary points of $z=z(x)$ by application of the implicit function theorem (to find the derivative of $z$) and solving (numerically) a system of two equations:stationarypts = {x, z}...
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Finding minimum and maximum of implicit functions
The equations of the system arer1 = Sqrt[(x +μ)^2 + y^2 + z^2];r2 = Sqrt[(x - 1 +μ)^2 + y^2 + z^2];Ω = (1 - μ)/r1 +μ/r2 + 1/2*(x^2 + y^2) + (μ*(1 - μ))/2;Ωxz = Ω /. {y -> 0};μ = 0.0121506683;xL1 =...
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