>I don't think the Starship Enterprise can fly in orbit.
Tomorrow Is Yesterday
Plot
The USS Enterprise is thrown back in time to Earth during the 1960s by the effects of a high-gravity "black star". Enterprise ends up in Earth's upper atmosphere, and is picked up as a UFO on military radar.
A U.S. Air Force F-104 interceptor piloted by Captain John Christopher (Roger Perry), is scrambled to identify the craft. Fearing an attack, Captain Kirk orders a tractor beam to be used on the jet, which tears the plane apart. The pilot is transported aboard the Enterprise.
https://en.wikipedia.org/wiki/Tomorrow_Is_Yesterday