This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, and the Vinti (Earth-satellite) problems. The analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions and the work highlights shared features in the unified treatment of the three problems.
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This work presents a unified treatment of three important integrable problems relevant to both Celestial and Quantum Mechanics. Under discussion are the Kepler (two-body) problem and the Euler (two-fixed center) problem, and the Vinti (Earth-satellite) problems. The analysis of these problems is shown to follow a definite shared pattern yielding exact forms for the solutions and the work highlights shared features in the unified treatment of the three problems.
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