Several cases of inconsistent time conversions occur. Early on, it's stated that one second on Voyager equals one day on the planet, but several later references disagree with this.
Early on, before and after the time when Voyager is first observed, all the night stars are visible and, apparently, standing still. As fast as it's said that the planet spins, the stars (and Voyager) should either be blurs or streaks. This effect can be confirmed by pointing a camera directly up at the night sky, locking the shutter open, and taking a time-lapse photograph. All the stars in the image will be in a continuous streak from east to west. So until their tech had advanced, at the stage they were in when Voyager got stuck in orbit, they shouldn't have been able to identify anything above the planet except objects directly above the two orbital poles, where the spinning effect is less pronounced.
As the planet's astronauts approach Voyager, they receive a transmission from the planet that accelerates to the point of sounding like a squeal; however, when the astronauts board Voyager, they observe the Voyager crew is frozen in time, indicating that the astronauts are still in sync with the planet's time rate. The radio transmission should have been understandable.
The planet's seasons change in a "matter of seconds" according to Janeway, but seasons are defined by the planet's rotations around its star, not its poles.
The seasons would seem never to change.
When ever the planet talked about or shown on video or graphically.There is no mention of the planet being part of star system. Therefore there is no explanation for the light and warm on the planet.
The seasons when viewed from Voyager seem to go from summer to fall, winter, spring and back with Janeway saying "we're seeing seasons change in a matter of seconds". However they wouldn't appear to change that quickly, if a second on Voyager is a day on the planet then it would take a little over 6 minutes for a year to pass. So going from winter to spring wouldn't happen in the two seconds shown, it would be more like 90 seconds.
When the medieval Protector dictates his letter for the "Sky Ship" (Voyager) to the Elder, the words are written in perfect English. While it's common for Star Trek aliens' speech to be rendered in English for the benefit of the audience, this rule is not supposed to apply to visual symbols.
When the astronauts from the planet are in the cockpit of the ship heading to Voyager the space suit helmets should be sealed to prevent decompression if there is a hull breach. However it can be seen that the female astronaut has a clear gap by her lower right jawline around her visor which allows air to get in under the helmet. Clearly a mistake by the prop department.
In the top left hand corner of the screen towards the end, when Voyager attempts to break free from the planet's atmosphere, and the camera is directed at Tuvok at Tactical.
When the crew meets in the briefing room, and listen to the first alien broadcast, the camera eventually begins revolving around the room just after Paris says, "We've already made first contact! They know we're up here!" If you keep your eye in the upper right portion of the screen, you will see the boom mic dip into frame shortly after Janeway says, "We've gradually become part of their mythos."
Although Tuvok describes the planet as having a high rate of rotation "like a quasar," this property more accurately describes a pulsar.