Orbits
Keyword(s):
Astronomy and recording of the motion of celestial objects are ancient practices, but what is now called astrophysics arguably began with Newtonian gravity and the concept of orbits as dynamical phenomena. This chapter provides a modern perspective on the early problems of gravitational dynamics, from Kepler’s laws up to the virial theorem for an arbitrary number of gravitating bodies. Even a simple gravitating system with only two bodies turns out to have many interesting features, such as the gravitational capture of material by protoplanets. The study of orbital motions also includes applications to observing extrasolar planets and stars near the black hole at the centre of the Milky Way.