Not sure I understand the gratuitous reference to Silent Running. 
The reference to Run Silent, Run Deep comes from the fact that the plot to the TOS episode in question is essentially a reworking of that movie.
Yeah! Just like “Star Wars” is that one movie where Luke Skywalker meets Obi-wan Kenobi and blows up the Death Star.
The Trek episode in question is essentially a submarine story set in space. As I recall, there’s even an especially lame plotline about having to shut down systems and run quietly so the Romulans don’t hear, even though of course sound doesn’t travel through the vacuum of space. And the phasers were made to look like torpedoes so they could ‘depth charge’ the Romulans.
This had nothing at all to do with Silent Running.
Forgive the hijack, but I have to ask, what with never having seen Run Silent Run Deep. I always assumed it was a rewrite of **The Enemy Below ** (Robert Mitchum and Kurt Jurgens). Are the two movies that similar, or did they steal elements from both movies
Lemme see. You may be thinking of these TOS episodes:
- “Devil in the Dark”
- “The Doomsday Machine”
- “Operation - Annihilate!”
- “The Man Trap”
- “Arena”
- “The Menagerie, Pt. 1”
What did I win? 
BZT! I think Bosda has the green lady one right. Menagerie was the first episode (I think). That’s not the one. This was a sexy dancing girl.
I also liked the “bang bang on da head” one.
There was another Orion dancing girl, Marta, in TOS “Whom Gods Destroy” (the one with the insane asylum and Garth of Izar), I believe.
LORD Garth!
I thought that was the movie you were referencing, is all. Which made me say, “What the hell? The Bruce Dern in Space movie?”
That’s BONK BONK.
I always thought a good motivational poster for middle school classrooms would be that kid doing his angry pout and underneath,
“Study, study, study or BONK BONK, bad kids!”
Marta was blue.
And then she was blue up.
The sexy Orion Slave Girl who danced did so in the original pilot, “The Cage.” This was reworked into a two-part episode called “The Menagerie.” There were no other episodes with green Orion Slave Girls, dancing or otherwise, much to the disappointment of legions of young males. You often saw a picture of the green Orion Slave Girl (who was really the female foil in the episode made to look like an Orion Slave Girl by the mental powers of the Talosians) in the credits at the end of the episodes.
Might stick in a factoid some might not be aware of: “Arena” was also a reworked science fiction short story, which had on its own won awards. I forget who wrote it, though. 
Wrong.
Yvonne Craig (who later played Batgirl) was indeed green.
It’s green.
Marta in all her greenocity.
She always looked blue to me on-screen. Still, she was blue up.
Ha! I’m not crazy! Sometimes she is blue!
It’s been a really long time since I’ve seen any of these shows. So there are three episodes with the dancing green lady? My foggy memory is that Kirk was in this sort of cave like brothel sort of place and this green lady was swirling around dancing.
This space-babe has been graped by the…
Great bit of trivia about her. They ran a make-up test on her and sent the footage off to the lab. It came back in dailies and her skin tone was warm and pink. They made her…more green and shot a second test.
Same problem. She looked incredibly green live but the dailies came back looking normal. Finally they went to the lab, where the Color Timer said, yeah I have to keep fixing that gal- she looks AWFUL. Is she sick?
This, from The Making of Star Trek by Stephen Whitfield. It was a bible of mine as a child.
Cartooniverse
Hmph. However, the Green Lady was from the first pilot they shot, called The Cage. It wasn’t Yvonne Craig ( who was most spectacularly green as well… 
)
It was Susan Oliver, as Vina.