A planet named Zeta orbits a distant star, called Omicron, in the Andromeda Galaxy. Zeta follows an elliptical path with a period of 8.4 years and an eccentricity of 0.76. At its closest approach during 2015, Zeta was merely 90 AU from Omicron ($1AU=1.50\times {10}^{11}$ m). Calculate the mass m of the star Omicron, assumed to be a typical massive star. Express m in kilograms and in terms of solar masses $m_{solar}$. Use: Mass of the Sun = $1.989\times {10}^{30}kg$.

$m\approx 1.5\times {10}^{36}kg;m_{\text{solar }}\approx 7.5\times {10}^5$

$m\approx 1.5\times {10}^{36}kg;m_{\text{solar }}\approx 3.8\times {10}^5$

$m\approx 2.5\times {10}^{36}kg;m_{\text{solar }}\approx 7.5\times {10}^5$

$m\approx 2.5\times {10}^{36}kg;m_{\text{solar }}\approx 3.8\times {10}^5$