Analytical solutions of the motion through the Earth and suitably shaped gravity tunnels are derived so that inertial forces caused by the Earth's rotation are eliminated and the journey takes place in complete weightlessness. The inhomogeneity of the Earth is represented by the one-dimensional Preliminary Reference Earth Model (PREM). A piecewise linear approximation of the model is used to obtain an analytical solution that corresponds very well to the solution obtained numerically for the PREM. (C) 2019 American Association of Physics Teachers.
展开▼
