# Can anyone tell me how can draw shadow of black hole like in presented in Intersteller movie? Is there any code for it in Mathematica or in Python? [closed]

Equation of motion for photon $$\Sigma \frac{dt}{d\lambda} = aL\left(1-\frac{r^2+a^2}{\Delta}\right) + \omega\left(\frac{\left(r^2+a^2\right)^2}{\Delta}-a^2 \sin ^2\theta\right)\ ,$$ $$\Sigma\frac{dr}{d\lambda} = \sqrt{R(r)}=\sqrt{\left( \omega\left(r^2+a^2\right)-aL\right)^2-K\Delta}\ ,$$ $$\Sigma\frac{d\theta}{d\lambda} = \sqrt{\Theta(\theta)} = \sqrt{K-\left(\frac{L}{\sin\theta}-a\omega\sin\theta\right)^2}\ ,$$ $$\Sigma\frac{d\phi}{d\lambda} = L\left(\frac{1}{\sin^2\theta}- \frac{a^2}{\Delta}\right)+a\omega \left(\frac{r^2+a^2}{\Delta}-1\right)\ ,$$ where $$K$$ is the Carter constant of the motion.

• Check out this blogpost: rantonels.github.io/starless It includes a description of how to do it as well as a python code. – Void Mar 5 '19 at 18:08
• @Void: that's an answer I think (it's the answer I was going to give if I could remember enough to search for it!) – tfb Mar 5 '19 at 18:38
• I'm voting to close this question as off-topic because it's about writing or obtaining a piece of code and not physics. Computational Science might be better suited. – Kyle Kanos Mar 5 '19 at 20:50