That's great - you've really paid attention to detail! Must've taken you ages! I did additional physics for GCSE and I'd have to agree with shadow2004 - I don't think there is such thing as a Red Dwarf, I think it's just a cross between white dwarf and red giant. But you never know!
Most people ignore that the ship is named after a red dwarf star.. not after a "red dwarf" (or ironic name) despuite being 10km long. Also most shuttles are named too after types of stars: Blue Midget and White Giant.
There would be even a White Dwarf but they decided to rename it StarBug and paint it green