Acertain quaternary star system consists of three stars, each of mass m, moving in the same circular orbit of radius r about a central star of mass m. the stars orbit in the same sense and are positioned one-third of a revolution apart from one another. show that the period of each of the three stars is given by

t = 2pi sqrt (r^3 / g(m+m / sqrt 3 )

the design of a ski jumping suit involves a trade-off between giving the skiers lift to get higher jumps and ensuring the skier does not face a lot of drag before the jump itself. an expansive suit may to lift the skier higher, but at the same time, it will also increase the air resistance. higher air resistance as the skier goes down the slope limits the speed of the jump. a big suit also increases the risk of losing balance or control, especially if there's a strong gust of wind. while technologically enhanced suits a lot, clothing is not the only factor in a ski jumper’s success. gathering speed while skiing down the slope, ensuring good speed on the ramp, and maintaining good body posture and form in the air all contribute to a ski jumper's success.

one "light year" is the distance that light travels, through vacuum, in one julian year.   that's 365.25 days, of 24 hours each.