(n.) 1.) The point in its orbit when a planet or satellite (usually the moon) is the farthest from the Earth.
2.) The highest point; culmination ; apex
apex, climax, peak
The place in the moon’s orbit where it stops traveling away from the Earth and begins traveling towards the Earth is an example of its apogee.
Determining an orbit may be found by the moving positions of the apogee and the moon's orbit.
Hohmman Transfer orbit example