Invisible rods
Every week there is something interesting to be found in Guardian Weekly science pages. This week there was a short piece on a planet with 4 suns. To quote from the article "It orbits one pair of stars and is in turn circled by a second pair". Reading this I thought they were saying that the planet is orbited by two stars but that can't be true since planets orbit stars not the other way round. What is happening is the two central stars are being orbited by two other stars with much bigger orbits than the planet. It's quite unlikely that such a combination would be formed. I tried making one in interactive physics with some success (minus the planet) as you can see. Actually I cheated, the central binary star is held together by an invisible rod, maybe I should suggest the invisible rod model as a possible solution.
Maybe I should also admit to my "outer suns" only having a mass of 10kg each.