LANET MASS (M RADIUS COMPARABLE WEIGHT Kepler-62b 2.1 1.34 12 Kepler-62c 0.1 0.55 0.3 Kepler-62d 5.5 1.99 1.4 Kepler-file 4.8 1.64 1.8 Kepler-621 1.44 1.4 Trappist-1b 0.86 1.13 0.7 Trappist-1c 1.16 1.1 1.0 Trappist-1d 0.3 0.79 0.5 Trappist-le 0.77 0.92 0.9 Trappist-16 0.93 1.05 0.8 Trappist-1g 1.15 1.15 0.9 Trappist-1h 0.33 0.78 0.5 The most massive planet, Kepler-62d, is 55 times that of the least massive one, Kepler-62c. At first glance, this might make you think you would weigh 55 times as much on Kepler-62d as on Kepler-62c. However, if you calculate your weight, as in the example above, you would weigh six times as much on Kepler-62d as you would on Kepler-62c. Explain why you would not weigh 55 times more on Kepler-62c. These planets were detected by the transit method, where the planet travels berween its ar and us and slightly dims the light we receive from the star. The radius of the planet can be timated by how much light it blocks. To get the mass of the planet, we need to use Newton's rsion of Kepler's third law: ( + M,) = 4 4 here M, is the mass of the star, and M, is the mass of a planet. We get a good estimate of the ass of the star, My, by studying the star itself. 2019 by W. W. Noman & Company, inc. Learning Astronomy by Doing Astronomy Second Edition