The object is traveling at 26Km/sec, earth is orbiting at 30 Km/sec. To generate a "stable orbit" is a matter of maneuvering at that velocity. So it's really un

The object is traveling at 26Km/sec, earth is orbiting at 30 Km/sec. To generate a "stable orbit" is a matter of maneuvering at that velocity. So it's really unlikely that the parent ship is traveling much slower than the discarded booster, and so it's arrival is unlikely to be much later.