TRAJECTORY THROUGH GRAVITY TUNNEL OF NON-ZERO DIAMETER**
The trajectory of a particle that is released from the surface of the Earth and allowed to travel through a gravity tunnel is numerically calculated while taking into consideration the proportional effect of varying the tunnel diameter. For a particle travelling through a gravity tunnel along its axis, increasing tunnel diameters are found to produce deviations from simple harmonic oscillation, including decrease in maximum speeds of motion. For a particle released from the surface that travels along the Earth's diameter in a direction perpendicular to the axis of the gravity tunnel (while being able to penetrate the interior of the Earth), it is found that the particle experiences repulsion below a certain radius in the interior, and is unable to reach the center of the Earth beyond a critical tunnel diameter equaling 71.36% of the Earth diameter. When the rotation of the Earth is incorporated, the particle released from the surface is observed to form planar trajectories that occasionally extend beyond the surface of the Earth at large tunnel diameters, owing to tunnel-induced non-uniformity of the Earth's potential energy surface.
MUBIN, SHAFAT and REZENDES, ANDREW
"TRAJECTORY THROUGH GRAVITY TUNNEL OF NON-ZERO DIAMETER**,"
Georgia Journal of Science, Vol. 78, No. 1, Article 120.
Available at: https://digitalcommons.gaacademy.org/gjs/vol78/iss1/120