Particle Worldline Model

The Particle Worldline model computes and displays the trajectory of a test particle in the vicinity of a Black Hole using Schwarzschild coordinates. It was created for the study of einSTein`s theory of general relativity and the Schwarzschild metric. The model has input fields displaying the Schwarzschild coordinates and their rates of change as well as the energy E and and angular Momentum L of the particle. Conservation laws and the speed of light impose restrictions on the dynamical variables and these restrictions are enforced when entering values or dragging the particle. For example, if a user changes the Default value of dr/dt to 10, the model automatically reduces the value to 0.685 because the particle speed cannot Exceed the speed of light c=1.