An apocentre is another name for an apoapsis, the point of a body's elliptical orbit around its system's centre of mass where the distance between the body and the centre of mass is at its maximum.
An apofocus is another name for an apocentre, the furthest point of an astronomical object in an elliptical orbit to its centre of attraction.
In general the farthest point in a satellite's orbit from its focus is its apoapsis. If the focus is the Sun or Earth however then you would say the satellite's farthest point is its aphelion and apogee, respectively.