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Question 9: Now imagine that after the GMT has started operation in 2036, its planet imager instrument (GMagAOX) is being used to find planets. It sees a planet orbiting the star Wolf 36B, and then watches the system over many years to measure an orbital period P = 17.2 yr, a semimajor axis a = 5.3 AU and an eccentricity of e = 0.85. a.) What is the mass of the host star Wolf 36B? Show your working, and state any assumptions you need to make. b.) Calculate (showing your working) the distance of the planet from the host star, when it is at closest approach to the star? Show your working. c.) star? Calculate the distance of the planet from the host star when it is furthest from the

Question 9: Now imagine that after the GMT has started operation in 2036, its planet imager instrument (GMagAOX) is being used to find planets. It sees a planet orbiting the star Wolf 36B, and then watches the system over many years to measure an orbital period P = 17.2 yr, a semimajor axis a = 5.3 AU and an eccentricity of e = 0.85. a.) What is the mass of the host star Wolf 36B? Show your working, and state any assumptions you need to make. b.) Calculate (showing your working) the distance of the planet from the host star, when it is at closest approach to the star? Show your working. c.) star? Calculate the distance of the planet from the host star when it is furthest from the

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Question 9: Now imagine that after the GMT has started operation in 2036, its planet imager instrument (GMagAOX) is being used to find planets. It sees a planet orbiting the star Wolf 36B, and then watches the system over many years to measure an orbital period P = 17.2 yr, a semimajor axis a = 5.3 AU and an eccentricity of e = 0.85. a.) What is the mass of the host star Wolf 36B? Show your working, and state any assumptions you need to make. b.) Calculate (showing your working) the distance of the planet from the host star, when it is at closest approach to the star? Show your working. c.) star? Calculate the distance of the planet from the host star when it is furthest from the
Transcribed Image Text:Question 9: Now imagine that after the GMT has started operation in 2036, its planet imager instrument (GMagAOX) is being used to find planets. It sees a planet orbiting the star Wolf 36B, and then watches the system over many years to measure an orbital period P = 17.2 yr, a semimajor axis a = 5.3 AU and an eccentricity of e = 0.85. a.) What is the mass of the host star Wolf 36B? Show your working, and state any assumptions you need to make. b.) Calculate (showing your working) the distance of the planet from the host star, when it is at closest approach to the star? Show your working. c.) star? Calculate the distance of the planet from the host star when it is furthest from the
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