#Gravity/Earth's Core
20-Feb-95 22:50:59
Sb: #169271-#Gravity/Earth's Core
Fm: Doug Mitchell 70621,702
To: Joe Haynes 74201,2572
Hi, Joe–
Welcome to the forum/section!
If one ignores the effect of the absence of mass in the tunnel, the gravity
would be a mild attraction toward the Earth's center. If the torus is
concentric with the Earth and of inner radius "r", then the gravity for someone
standing on that inner radius would be that of a denser-than-iron asteroid of
radius "r".
If the torus removes mass approaching that "asteroid"'s mass, one can no longer
ignore its effects; figure the effect a toroidal asteroid would have on objects
boring inside it and subtract those vectors from the imaginary asteroid's field
vectors. I am not minded to integrate to find such a field pattern; your best
place for such details would have been in physics section.
–Doug