The discovery of

disproved geocentric theory
proved that planetary orbits are elliptical
demonstrated inconsistencies in bode’s law
was a result of mathematical calculations involving neptune

The discovery of Uranus proved that planetary orbits are elliptical .

Explanation:

Uranus was first observed by astronomer William Herschel accidentally while conducting survey of stars. A faint object was moving in front of stars.

Its path was consistent with Bode's law. Neptune was found later on through mathematical calculations. Geocentric theory was disproved earlier than its discovery. It did prove that planetary orbits are elliptical.

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