1972American Journal of PhysicsRequires access

On Newton's Law of Gravitation

R. M. Rosenberg

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Abstract

Under the assumption that the gravitational force is a central force and diminishes with distance, Newton's inverse square law is shown to be the only one for which all simple finite trajectories are closed orbits.

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Under the assumption that the gravitational force is a central force and diminishes with distance, Newton's inverse square law is shown to be the only one for which all simple finite trajectories are closed orbits.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Under the assumption that the gravitational force is a central force and diminishes with distance, Newton's inverse square law is shown to be the only one for which all simple finite trajectories are closed orbits.

Key concepts: Inverse-square law, Physics, Newton's law of universal gravitation, Classical mechanics, Gravitation, Simple (philosophy), Square (algebra), Gravitational force

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