Final answer:
Kepler's laws of planetary motion, focusing on the elliptical orbits of celestial bodies with a common line of apses and their perigees oriented similarly relative to Earth.
Step-by-step explanation:
The student's question pertains to the field of astrodynamics or celestial mechanics within the broader context of physics, and it specifically relates to Kepler's laws of planetary motion. According to Kepler's first law, the path of celestial bodies orbiting another body, such as planets around the sun or moons around a planet, is an ellipse with the central body being at one of the focal points. In this context, the perihelion and perigee are similar terms that describe the point in an orbit closest to the central body (sun for perihelion and Earth for perigee).
The orbits being described are two geocentric elliptical orbits, meaning orbits of objects around Earth, which hold a common line of apses (the line connecting the perigee and apogee). The term 'apse' refers to either of two extreme points of an orbit, with the perigee being the closest point to Earth and the apogee being the farthest. Since the perigees are on the same side, it implies that the orbits are in some way aligned when the orbiting objects make their closest approach to Earth.