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No scientist seriously doubts the heliocentric theory, indeed evidence of it is available to anyone with a decent phone or very modest telescope and a few clear nights to observe the sky.

It is true however that all stars in our galaxy rotate around a common centre of mass, and that there is a central mass, a very large black hole, there. As a result orbits in a complex 3D spiral about the galaxy, taking roughly 230,000,000 years to do so.

Several image on google (try searching 'Sun's trajectory around galaxy') show this better than I can describe it.

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