Physics, 01.09.2019 00:30 christian2510

From the average distance of one of jupiter's moons to jupiter and its orbital period around jupiter, we can determine:

Answers: 2

Show answers

Answers

Answer from: Jennifer312332

Jupiter's mass

Explanation:

From Kepler's third law:

$T^2=\frac{4\pi^2}{GM}a^3$

where T is the orbital period of a satellite, a is the average distance of the satellite from the Planet, M is the mass of the planet, G is the gravitational constant.

If the average distance of one of Jupiter's moons to Jupiter and its orbital period around Jupiter is given then mass of the Jupiter can be found:

$\Rightarrow M_J=\frac{4\pi^2}{GT_m^2}a_m^3$

Answer from: sarahgoff

The mass of the Jupiter can be easily calculated using the average distance of the Jupiter's moon and its orbital period around the planet.

Explanation:

The Kepler's laws of Planetary motion explain about the several parameters of the planet and the moon system. The three laws of planetary motion explain about the nature of the orbit, orbital velocity and also about the time period of the moon around the planet.

The Kepler's third Law of planetary motion establishes the relation between the distance between the planet and the moon or the orbital distance and the time taken by the moon in completing one rotation around the planet.

The mathematical expression for the Kepler's third law is given as:

$\boxed{T^2=\dfrac{4\pi^2}{GM}R^3}$

Here, is the time period of the moon, is the gravitational constant, is the mass of the planet and is the orbital distance of the moon from the planet.

In case of the Jupiter and its moon, if the orbital distance of the moon and the time period of rotation of the moon around the planet is known, then the mass of the planet Jupiter can be easily determined by means of the equation of the third law of Kepler.

Thus, The mass of the Jupiter can be easily calculated using the average distance of the Jupiter's moon and its orbital period around the planet.

Learn More:

1. The minimum speed at which the salmon must jump is

2. Can the stuntman jump from one building to another

3. Equinox occurs when

Answer Details:

Grade: High School

Subject: Physics

Chapter: Gravitation

Keywords:

Average distance, Jupiter, moon, Kepler's law, planetary motion, third law, orbital distance, mass, gravitational constant, time period, rotation.

Answer from: Quest

increases it

Answer from: Quest

cant without the picture! ?

Another question on Physics

Physics, 21.06.2019 21:30

How many seconds does it take a pebble released from rest off a bridge to fall 29.4 m ? what is the pebble's speed when it has fallen 29.4 m ?

Answers: 1

Answer

Physics, 22.06.2019 02:30

Awave travels at a speed of 5.2 m/s. if the distance between crests is 0.40 m, what is the frequency of the wave? use f=v/wavelength a. 13 hz b. 2.1 hz c. 0.077 hz d. 5.6 hz

Answers: 1

Answer

Physics, 22.06.2019 06:00

Imagine that someone pushes one marble toward a motionless marble. would there still be action-reaction forces involved in the collision? how might the marbles’ motions be changed? ?

Answers: 1

Answer

Physics, 22.06.2019 11:00

If a simple machine reduces the strength of a force, what must be increased?

Answers: 3

Answer

You know the right answer?

From the average distance of one of jupiter's moons to jupiter and its orbital period around jupiter...

Questions