A black hole is an object with mass, but no spatial extent. It truly is a particle. A black hole may form from a dead star. Such a black hole has a mass several times the mass of the Sun. Imagine a black hole whose mass is fifty times the mass of the Sun.
(a) Would you expect the period of an object orbiting the black hole with a semimajor axis of 1 AU to have a period greater than, less than, or equal to 1 yr?
(b) Use the equation
T^2 = (4𝜋^2/GM) a^3 to calculate this period.