Question

The planet Mars has two moons, phobos and delmos. (i) phobos has a period 7 hours, 39

minutes and an orbital radius of 9.4 × 10

3

km. Calculate the mass of mars. (ii) Assume that

earth and mars move in circular orbits around the sun, with the martian orbit being 1.52

times the orbital radius of the earth. What is the length of the martian year in days ?​

Answer 1

Answer:

T2 = 4π2GMmR34π2GMmR3 or Mm = 4π2G.R3T24π2G.R3T2 ∴∴ Mm = 4×(3.15)2×(9.4×103)36.67×10−11×(459×60)24×(3.15)2×(9.4×103)36.67×10−11×(459×60)2 = 6.48 x 1023 kgRead more on Sarthaks.com - https://www.sarthaks.com/1022249/planet-mars-has-two-moons-phobos-and-delmos-phobos-has-period-hours-minutes-orbital-radius

Explanation: