As Pisces said, the game bases day/night from where you loaded. So when load in port, the time is accurate to the exact local, not your timezone. As you move through the game world, the clock is not adjusted, nor does the sun alter it's path (based on whatever the game engine works off of, as you are finding out).
When you load a game from a save mid patrol, the clock is saved and loaded without change, but the game adjusts sunrise/sunset as if the ships clock is now the local time. So during operations off the America's, or on a trip to the pacific, you could save in middle of the night, but load during the day, without the clock moving.
Not sure if this helps in your calculations, but it is something to consider.
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Luck is a residue of Design.
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