(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

New observations of the stars orbiting the black hole at the Galactic Center (Sgr

A*) have improved the measurements. Here are the latest results from Gillessen et

al. (2009) for star S0-2: period P = 15:8 yr, semimajor axis a = 1025 AU, and

eccentricity e = 0:880; and for star S0-16: P = 47:3 yr, a = 2130 AU, and e = 0:963.

(a) Compute the mass (in units of solar masses) of Sgr A* implied by the new results.

Do the two stars give a consistent answer?

2. Relevant equations

M=(4pie^2 a^3)/Gp^2

3. The attempt at a solution

For s0-2 i first converted AU to cm and years to seconds then 4pie^2(1.53e16)^3 /(6.6743e-8)(498599430)^2

and got 8.52e16 grams then 4284399 Mo is this correct the formula i used to find mass of the black hole?

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# Homework Help: Compute the mass of a black hole

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