The solar system is 25,000 light years from the center of our Milky Way galaxy.

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The solar system is 25,000 light years from the center of our Milky Way galaxy. Onelight yearis the distance light travels in one year at a speed of. 3*10^8 m/s.Astronomers have determined that the solar system is orbiting the center of the galaxy at a speed of 230 km/s.

The gravitational force on the solar system is the net force due to all the matter inside our orbit. Most of that matter is concentrated near the center of the galaxy. Assume that the matter has a spherical distribution, like a giant star. What is the approximate mass of the galactic center?

I found that the orbital period for the solar systems orbit is 2.05*10^8 years and that in 5bil years it has made 24.4 orbits.

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