What did Isaac Newton provide that explained the underlying physical cause for elliptical orbits described by Kepler?
Answer
The law of universal gravitation, linking orbital shape to inverse square force.
While Johannes Kepler meticulously observed and described the mathematical pattern of planetary motion—the 'how'—Isaac Newton later provided the comprehensive physical explanation, the 'why,' through his law of universal gravitation. Newton demonstrated that any attractive force obeying the inverse square law of distance (where force is proportional to $1/r^2$) mathematically necessitates that the orbits traced by the orbiting bodies must be conic sections. Since the planets are gravitationally bound to the Sun, their paths must be closed curves, forcing them into the shape of an ellipse.

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Why Are Planetary Orbits Elliptical? - YouTube
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