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Is there really any empirical proof that the earth moves round the sun?

I've read simple explanations using mass-gravity relation. But then some questions remain, is gravity a function of mass alone? Is mass a function of size alone? if the earth is revolving round itself, and the sun is revolving round and moving towards the black hole in the centre of the Milky Way, how can we be sure that these two movements alone do not suffice to explain night and day or change in the position of the stars with time?

Thanks.

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marked as duplicate by Waffle's Crazy Peanut, Qmechanic Jun 23 '13 at 19:13

This question was marked as an exact duplicate of an existing question.

    
@All: That's not the answer I'm looking for. I'm simply asking fundamental questions. How can we conclude anything about earth revolution if we do not know much about the sun. – Chibueze Opata Jun 23 '13 at 18:14
    
@ChibuezeOpata Hi Chibueze Opata, welcome to Stack-Exchange. Please consider posting several question in different post, it helps the other users to answer them. – FraSchelle Jun 23 '13 at 18:43
    
@Chibueze Opata: The second "duplicate" should be useful to you. Try explain retrograde motion with your idea for a model. – Will Jun 23 '13 at 18:50