That's a bit of a tricky question! It depends on what you consider a "man-made object" and what counts as "orbiting the Earth".

Here are some examples:

* Satellites: These are the most common man-made objects in orbit. They serve a variety of purposes, from communication to navigation to Earth observation.

* Space stations: These are larger structures designed for human habitation and research. The International Space Station (ISS) is a prime example.

* Spacecraft: These are vehicles designed for space exploration, such as the Hubble Space Telescope or the Mars rovers.

* Rocket stages: Some parts of rockets, like the upper stages, might remain in orbit after the launch.

* Space debris: This includes fragments from past launches, defunct satellites, and other man-made objects that are no longer functioning.

But technically, even things like:

* High-altitude balloons: These are used for scientific research and weather monitoring.

* Aircraft: While they don't "orbit" in the traditional sense, some aircraft, like the SpaceShipOne, have reached suborbital space.

So, the answer is, there are many man-made objects that orbit the Earth, and the exact number changes constantly.