RD posted

a couple of models for the internal gravity of the Earth. The gravity should go to zero at the middle of the body.

Were you looking at theoretical singularities with all the mass concentrated at a single point? That is a completely different beast than a planet with the mass surrounding a person as one bores towards the center.

Your escape velocity should always increase as you move towards the center of the body. I.E. no jagged lines as you have on some of your graphs.

I threw this chart together last night.

Acceleration Due to Gravity.

I drew a linear line from the center of Earth to the surface, which I believe is indicative of a constant density of Earth. Current theories indicate an iron core, and greater density in the center of Earth, but for the purposes of my estimate, this was good enough.

[attachment=18468]

Equations: (d is the distance to the center of Earth).

From center to surface:

Acceleration due to gravity is: 9.8*d/(6371 km)

From the surface into space,

Acceleration due to gravity is:

[tex]6.67x10^{-11}\frac{m^3}{kg s^2}\frac{5.972 x 10^{24} kg}{(d m)^2}[/tex]

I'll try to convert my "acceleration" to a "velocity" soon.