Continuity mistake: When Captain Kirk and the shape shifter are fighting on the planet (the shape shifter looks exactly like Kirk). They are rolling through the snow about to roll over Bones. In one shot, it looks like they will roll over his feet first, and then the rest of his body. In the next shot, it is a little closer and they roll over Bones' right arm first and not his feet first.

Star Trek VI: The Undiscovered Country (1991)
Plot summary
Directed by: Nicholas Meyer
Starring: Christopher Plummer, William Shatner, Kim Cattrall, George Takei, Leonard Nimoy, Michael Dorn, Walter Koenig, DeForest Kelley, James Doohan, Nichelle Nichols, Kurtwood Smith, Brock Peters
The Klingon moon Praxis has exploded, and the Klingons face an ozone crisis that they can't overcome without the Federation's help. Spock volunteers Kirk and the soon-to-be-retired crew of the Enterprise to go meet with the Klingon ambassador. But an explosion on the Klingons' ship kills the ambassador, and as Enterprise is the only ship around, Kirk and McCoy are arrested and taken to Rura Penthe (a hard-labor camp on a frozen world). The Enterprise and Sulu's Excelsior then race to save the two from lifelong slavery, while working to intercept an assassination attempt on the former ambassador's daughter at a peace conference.
Captain Spock: What you want is irrelevant, what you have chosen is at hand.
Trivia: Both the opening explosion of the Klingon moon Praxis and much of the footage from the U.S.S. Excelsior was later used in an episode of "Star Trek: Voyager", ("Flashback") with special guest star George Takei.
Question: Is it my imagination, or does the opening theme sound similar to the classical piece "The Planets - Mars" by Holst?
Answer: At one point Nicholas Meyer did indeed have the idea to incorporate "The Planets" into the score, but apparently the rights proved too expensive. I have no doubt Meyer asked composer Cliff Eidelmann to give the score a similar sound.
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Chosen answer: There are certain similarities, yes. Whether any specific aspects of the piece were deliberately incorporated into the film's opening theme is an open question, but the overall feel is undoubtedly very similar.
Tailkinker ★