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Quantum Engineering Year 0: Mathematical Foundations Month 6Day 149

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Year 0·Month 6·Week 2

Day 149: Central Force Problem — Kepler and Beyond

Day 149 of 2,016~7 min read

Learning Objectives

•Reduce the central force problem to one dimension
•Use angular momentum conservation effectively
•Analyze effective potential and orbit shapes
•Derive Kepler's laws from Newton's gravity
•Classify orbits by energy and angular momentum
•Understand the connection to quantum hydrogen atom

Today's Schedule (7 hours)

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On this page

1 Setup Central Force 2 Conservation Laws 3 Reduction to 1D Effective Potential 4 Effective Potential Analysis 5 Orbit Classification 6 Orbit Equation Binets Method 7 Keplers Laws Derived 8 Quantum Connection Hydrogen Atom

Day 148Day 149 of 2,016Day 150