What is the term for the point where a body orbiting the earth is farthest from it?

The correct term for the point where a body orbiting the Earth is farthest from it is "apogee." In the context of orbital mechanics, apogee specifically refers to the point in an elliptical orbit where the orbiting object is at its maximum distance from the Earth. This is an important concept for understanding how satellite orbits work, as the distance from the planet can affect gravitational forces, orbital speed, and the characteristics of the satellite's mission.

In contrast, perigee refers to the closest point in the orbit to the Earth, not the farthest. The term "equator" relates to the Earth's surface and geography rather than orbital mechanics, while "apex" typically refers to the highest point in a trajectory or path, which is not specific to orbital distance from Earth. Thus, apogee is the appropriate term that identifies that maximum distance in orbit.