I agree with MRC_Hans
A change in density would not change the gravity of a body.
I agree with MRC_Hans
A change in density would not change the gravity of a body.
comical
???
Density = mass/volume
Fg = G(m1m2)/r1^2;
Fg = force due to gravity, G = universal gravitational constant, m1 = mass near surface, m2 = mass of planet, r1 = initial radius of planet
Assuming the density changed by means of changing the volume of a fixed mass, orbits far from the surface will not change very much, but shrinking the radius to accommodate a change in volume would alter surface gravity:
Fg/m1 = (G*m2) / r2^2; r2 = 0.5 r1; r2 = radius of shrunken planet
If the radius is shrunk to 1/2 r1 with the mass of the body held constant, the acceleration due to gravity increases by a factor of 4 at the surface.
Curious with your post - is that a refutation of what I said, in support of what I said, or just additional information?
How much gravity would we experience on earth if it had the same mass but half the radius?
No one knows? well if anyone figures this out, I am also curious what the effect of gravity would be if you were the same distance from the center of the planet as we are currently.
With the same mass and half the radius, the Earth's surface gravity would be 4 times stronger. If you move out to a distance equal to that of its present radius, the gravity at that point would be equal to the Earth's present surface gravity.
Based on that, it seems that the gravity of a body really isnt "changed" by becoming more dense. The surface of the body is just closer to the gravitational center which leads to an increase of gravity on the surface.
???
Density = mass/volume
Fg = G(m1m2)/r1^2;
Fg = force due to gravity, G = universal gravitational constant, m1 = mass near surface, m2 = mass of planet, r1 = initial radius of planet
Assuming the density changed by means of changing the volume of a fixed mass, orbits far from the surface will not change very much, but shrinking the radius to accommodate a change in volume would alter surface gravity:
Fg/m1 = (G*m2) / r2^2; r2 = 0.5 r1; r2 = radius of shrunken planet
If the radius is shrunk to 1/2 r1 with the mass of the body held constant, the acceleration due to gravity increases by a factor of 4 at the surface.