The diameter of our disk-shaped galaxy, the Milky Way, is about 1.0 &times105 light-years (ly). The distance to the Andromeda galaxy , which is the spiral galaxy nearest to the Milky Way, is about 2.0 million ly. If a scale model represents the Milky Way and Andromeda galaxies as dinner plates 25 cm in diameter, determine the distance between the centers of the two plates.

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Keith LeannonLv2

20 May 2019

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Which, if any, of the following statements is/are true?

1)Our galaxy, The Milky Way, is a member of The Local Group, whichis one of several groups of galaxies located in the VirgoSupercluster.
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Astronomers have observed a small, massive object at the centerof our Milky Way galaxy. A ring of material orbits this massiveobject; the ring has a diameter of about 15 light years and anorbital speed of about 200 km/s.
A) Determine the mass of the massive object at the center of theMilky Way galaxy.
Take the distance of one light year to be 9.461Ã10¹⁵m. Iwas able to get this it is 4.26Ã10³⁷kg.
B) Express your answer in solar masses instead of kilograms, whereone solar mass is equal to the mass of the sun, which is1.99Ã10³⁰. I got this to it is 2.14Ã10⁷ solarmasses
C)Observations of stars, as well as theories of the structure ofstars, suggest that it is impossible for a single star to have amass of more than about 50 solar masses. Can this massive object bea single, ordinary star? I got this it is no.
D) Many astronomers believe that the massive object at the centerof the Milky Way galaxy is a black hole. If so, what is itsSchwarzschild radius? Express your answer in meters.
E)Would a black hole of this size fit inside the earth's orbitaround the sun? The mean distance from the sun to the earth is1.5Ã10^11m.
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An extrasolar planet can be detected by observing the wobble itproduces on the star around which it revolves. Suppose anextrasolar planet of mass mb revolves around its star of mass ma .If no external force acts on this simple two-object system, thenits CM is stationary. Assume ma and mb are in circular orbits withradii ra and rb about the system's CM.

(a) Show that ra =(mb/ma)rb

(b) Now consider a Sun-like star and a single planet with the samecharacteristics as Jupiter. That is, mb = (1.0 x 10^-3)ma and theplanet has an orbital radius of 8.0 x 10^11 meters. Determine theradius ra of the star's orbit about the system's CM.

(c) When viewed from Earth, the distant system appears to wobbleover a distance of 2ra . If astronomers are able to detect angulardisplacements ? of about 1 milliarcsec (1 arcsec = 1/3600 of adegree), from what distance d (in light years) can the star'swobble be detected (1 ly = 9.46 x 10^15 m)?

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