Question

Problem 3. (Orbiting Jupiter. NASA's mission Juno is currently orbiting Jupiter. The most recent full orbit Juno made (as measured between the times of closest approaches to Jupiter) started on July 21, 2019 and ended on September 12, 2019. You can assume that both passages happened at the same time, e.g. at 6 am. What is the semi-major axis of the orbit of Juno around Jupiter, expressed in kilometers?

Answer 1

Kepler's 3rd law : 2 472 23 MG TV Time Period (53 days) - sund major anos- 83 - T2 GM 452 23-T²GM aTZ T = 53*2 4x 60 x 60 sec. T = 4.579x 10 sec. M = 1.89 x 1027 kg (mass of Jupiter) G = 6.67X16! m3-ky- seere. 1903-.5792. x 109 x 667 Xidth 1 189 x16 - 4x (3.14) 73 - 20.96 X1012x 12° 6 X 1025 39.438 4 83 - 6.696 % 1037 m r = (6.696x1037) 73 m. r - 4.06 x 1012 m. 466*102 KM