Mathematics and Society - OS X Lion Server

Exercises:1. An object is in an orbit at an average distance of 3 a.u. from the Sun. Read itsapproximate period from the graph. Next try cubing the distance and squaring theperiod. Do your results roughly agree?2. A spacecraft orbiting around the Sun has an orbital period of three years. Find itsaverage distance from the Sun in two different ways. Hint: 1) Kepler's law and2) the graph..•...-.. . ... _. .. ..•..... ..IMAGINARY PLAtvET ORBITAL PEelOD (YEARS) AVERr>.G£ DISTANCE FROM SllIJ (AU)3. Fill in the chart using Kepler's discovery. Check your results with the graph.V 2xyz1054. A far-out object moves around the Sun. The straight-line distance from the perhe1ionpoint of its orbit to the aphelion is 200 a.u. How long does it take for the objectto go around the Sun once?IDEA FROM:The Universe in Motion, Book 2, The University of Illinois Astronomy Program111