The four large moons of jupiter were first discovered by:

Posted By Admin @ September 03, 2022

Question:

Jupiter's four large moons -- Io, Europa, Ganymede, and Callisto -- were discovered by Galileo in 1610. Jupiter also has dozens of smaller moons. Callisto has a radius of about 2.40 106 m, and the mean distance between Callisto and Jupiter is 1.88 109 m. (a) If Callisto's orbit were circular, how many days would it take Callisto to complete one full revolution around Jupiter

Answer:

Jupiter is the largest planet in the solar system that have four large natural satellites, Ganymede, Callisto, and Europa.

Given that:

Distance = 1.88 x 10⁹ m

Mass = 1.9 x 10²⁷ kg

Radius = 2.40 x 10⁶ m

Gravitational constant = 6.67 x 10⁻¹¹ m³ kg/ sec²

Now,

From the formula of orbital periods, it can be calculated as:

P² = \dfrac{(2 \pi^2) (D^3)}{GM}

Substituting the values in the above formula:

P² = \dfrac{39.5 \times 6.65 \times 10 ^{27}}{(6.67 \times 10^{-11}) (1.9 \times 10^{27})}\\\\

P² = 2.07 \times 10^{12}

P = 14440000 seconds or approximately 16.66 days.

Thus, the Callisto will require 16.66 days to orbit around the planet.

To know more about circular orbital period, refer to the following link:

brainly.com/question/22764231

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