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Question: How do professor Stephen Hawking find out that the centre of the milky way there is a supermassive dead star(b?

BLACK HOLE

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Answer:

It wasn't professor Hawking who discovered it. It was suspected by many astronomers, but not confirmed until 2008 by a team of German astronomers who used two European telescopes based in Chile. They did it by tracking the movements of 28 stars circling it, over a period of 16 years.