A newly discovered planet, Eagal, has two known moons, Dorainn and Bron. The table below gives some of the known information about Dorainn and Bron. Dorainn Bron Mass 1.427 x 1015 kg 1.427 x 1015 kg Radius 6.142 km Orbital Period 1.091 x 105 s Orbital Radius 23,640 km 27,650 km a. Determine the gravitational field strength at the surface of Dorainn. b. Using only the information provided for each moon and proportionality, determine Bron's orbital period. Clearly show or explain all workings. c. Use the data provided for Dorainn to determine the mass of Eagal. d. Determine the orbital speed of Bron.

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