if the mass of the earth is doubled, how will the moon's orbit be affected?

Question

pls answer my question..thanks

Answer 1

The moon revolves round the earth, since,
GM1 m / R1^2 = m R1 ω1^2. where m is the mass of the moon. R1 is the present distance of the moon from the earth.
GM1 = R1^3 ω1. = R1^3 4π ^2 / T1^2
GM1 T1^2 = 4π ^2 R1^3
M1 = K {R1^3 / T1^2} where K = 4π ^2/G
If M1 is increased to M2 = 2 M1
2M1 = K {R2^3 / T2^2}

Comparing, the condition for the change is
The new radius and period of revolution will be such that

{R2^3 / T2^2} = 2 {R1^3 / T1^2}

If we assulme that the period or revolution remains the same , then

the radius will be such that
R2^3 = 2 *R1^3

Answer 2

The moon moves toward the Earth one twentieth of one inch in one second and it moves forward at 3.300 feet per second, these conditions keep the moon in a stable orbit. Increasing the Earth's mass by a factor of tow would increase the pull of the Earth by a factor of four, the moons orbit would decay and it would eventually impact the Earth

Answer 3

Because the mass of the earth would increase, the moon would be pulled closer to earth.

Right now, the following holds:

force of gravity = centripetal force of moon orbiting

If the earth is twice the size, the left side of the equation would be twice as big and thus the moon would fall towards earth!

Answer 4

It doesn't matter.

You would suddenly weigh 340 lbs and therefore be unable to move or feed yourself. The entire human race would be dying as they watched the moon streak by in a highly elliptical orbit.

The tides created would exceed the imaginations of even those living at the Bay of Fundy. Even the Earths crust would be visibly affected by tidal forces causing earth quakes and volcanic eruptions beyond compare.

In short it would be a bad thing.

Answer 5

i don't think that the moons orbit around the earth would be sustainable. As the gravitational effect increase, originally doubling then changing with square of the decreasing distance {if my poor grasp of school physics is correct}.

It would probably all end horribly...

Answer 6

I think, I'm probably wrong. But the moon would become closer to the earth (through pull/attraction) & the orbit would be a bit tighter circle or elipse.

Answer 7

Smaller orbit coz the moon would be pulled towards us. The Gravitational pull is directly proportional to its mass.

Answer 8

an instantaneous effect of better mass is a "greater suitable" gravitational "pull". hence if the mass of our planet replaced into doubled as a replace of the moon drifting far flung from us at a value of roughly 2 centimeters a twelve months it might in all probability the two end drifting far flung from us or initiate drifting closer to us each and every twelve months thereby influencing our tides plenty greater stronly to boot. Its confusing to confirm nonetheless devoid of performing some severe style crunching.

Answer 9

yeah it would start heading to earth and kill all of us

Answer 10

it'd probably be pulled towards us