To present more of a challenge, this experiment has less structure than the previous experiments.
Circular orbits having r less than 45 km are not possible, since nothing can move faster than the speed of light. The region of spacetime with r greater than 45 kilometres has 3 subregions: 1) a region where unstable circular orbits spiral out to infinity when given a small extra velocity; 2) a region where unstable circular orbits spiral out to some finite value of r when given a small extra velocity; 3) a region of spacetime where stable circular orbits occur.
Using the knowledge and skills aquired in the first six experiments, find the boundaries between these regions. Answers.
Experiment 1: Falling Into a Black Hole
Experiment 3: Investigation of Stable Circular Orbits
Experiment 4: Investigation of Unstable Circular Orbits
Experiment 5: Investigation of Spiral Orbits