Why is the frame of reference associated with the Earth called geocentric? What is the name of the frame

Why is the frame of reference associated with the Earth called geocentric? What is the name of the frame of reference associated with the Sun?

The frame of reference associated with the Earth is called geocentric from the ancient Greek “geos” – Earth.
The reference system associated with the Sun is called heliocentric from the ancient Greek “helios” – the Sun.

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