In 2017, NASA announced the discovery of seven planets with sizes similar to the Earth orbiting a red dwarf star 40 light years away. A summary of their properties is given below. The planet's radius and mass are relative to the Earth. The period is in days and the distance is in astronomical units (AU). TRAPPIST-1 System Feb. 2018 Orbital Period Distance to Star Planet Radius Planet Mass b 1.51 days 0.0115 AU C 1.12 Rath 1.02 Math 2.42 days 0.0158 AU d 4.05 days 0.0223 AU 0.78 Rearth 0.30 M e 6.10 days earth 0.0293 AU f 9.21 days 0.0385 AU 1.05 Rath 0.93 M 0.91 Rath 0.77 M 9 12.36 days 0.0469 AU 1.15 Rath 1.15 M 1.10 Rath 1.16 Moth a. What is the acceleration due to gravity on planet f? The radius of planet is 1.05 times the Earth's and the mass is 0.93 times the Earth's. m/s² b. What is the mass of the star that planet f orbits? The period is 9.21 days and the orbital radius is 0.0385 AU. Remember to convert the period to years. Enter this mass as a multiple of the Sun's mass. solar masses Illustrations h 18.76 days 0.0619 AU 0.77 Rath 0.33 M