How many orbits in space?

Basically, each object has its own orbit. Also, such orbits tend to change over time.

The combination of mass and momentum, when in balance, can produce an orbit. Small objects such as Pluto can have even smaller objects orbiting around them. At the center of galaxies are huge masses with thousands or millions of times the mass of the Sun. Everything in a galaxy is orbiting around that mass. The Sun, and all the planets are orbiting such a mass at the center of The Milky Way galaxy.

An orbit is simply the case where something has been attracted to some other object's mass, and is falling toward that mass, while at the same time it has enough momentum to carry it past the other object without hitting it. An orbit could be stable and last forever, or unstable, and either fall into the other object or gain enough momentum to break away and fly off into space.

The orbit of the Earth is affected by the mass of the Sun, the Moon, and the other planets.