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A simple non-uniform oscillator follows the differential equation ... (the blue curve). In an imaginary solar system where the planets follow this law of motion, but where angular momentum is conserved, planetary orbits would be egg-shaped (the red curve), with the parameter ... taking a role akin to the orbit eccentricity.

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      EUN,LOM,LRE4,work-cmr-id:399005,http://demonstrations.wolfram.com:http://demonstrations.wolfram.com/EggShapedOrbitsOfNonUniformOscillators/,ilox,learning resource exchange,LRE metadata application profile,LRE

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