Who did this
model in which electrons have specific energy levels and
orbit the nucleus like planets around the sun

Niels Bohr

Explanation:

It's been long thought that the atomic model resembles a planet model, that is, it was thought that the nucleus containing neutrons and protons is the central part of the atom and there were electrons in several shells orbiting the nucleus.

This is called a planet model, since it follows the pattern seen in our galaxy: the Sun corresponds to a nucleus and the planets orbiting it are like electrons.

This model was proposed by Niels Bohr in 1915 and is called the Bohr Model. In the end, it was proved that the model wasn't really accurate, since electrons didn't have fixed orbitals but rather probabilities to be found in those orbitals, as well as the fact that electrons were exhibiting the properties of waves.