Quantization Rule for Planetary Motion?

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according to sommerfield quantization rule "for any physical system in which the co ordinates are periodin functions of time,there exist a quantum condition for each coordinate(e.g in bohrs heory angular momentum is quantised)" then why there is no quantization rule in planetary motion but the coordinates in this system is also periodic functions of time?
 
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Mahasweta said:
why there is no quantization rule in planetary motion?

There would be, but the gaps between adjacent quantum levels are so small relative to the mass energy, and momentum of the planet, and there are so many of them, that we can treat the motion of planets as if it is continuous.
 
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Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. Towards the end of the first lecture for the Qiskit Global Summer School 2025, Foundations of Quantum Mechanics, Olivia Lanes (Global Lead, Content and Education IBM) stated... Source: https://www.physicsforums.com/insights/quantum-entanglement-is-a-kinematic-fact-not-a-dynamical-effect/ by @RUTA
If we release an electron around a positively charged sphere, the initial state of electron is a linear combination of Hydrogen-like states. According to quantum mechanics, evolution of time would not change this initial state because the potential is time independent. However, classically we expect the electron to collide with the sphere. So, it seems that the quantum and classics predict different behaviours!
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