Originally posted by Chairboy
Yep.
The gravity at any radius r less than Rearth will be linearly proportional to the distance from the center.
(per http://hyperphysics.phy-astr.gsu.edu/hbase/mechanics/earthole.html)
ok ok uncle! uncle! you win
Originally posted by Chairboy
although....
this diagram shows the center object being pushed equaly in all directions.
your arrows should be reversed? or is the 'pull' of gravity expected to be coming fom the surface of the earth and not the center?
confusing eh?
think of an object in orbit, the arrows would need to be pointing inward toward the CoG to make sense. the object in orbit is being pulled by gravity the same as us falling out of a tree.
but not by the earth's surface, the earths surface acts as a barrier to stop us being pulled to the center, hence we can walk on it.
so really are your arrows not showing a push from the center in all directions, and not a pull from the surface of the sphere?