In the 1968 science fiction movie, 2001: A Space Odyssey, the spaceship doscover
ID: 157842 • Letter: I
Question
In the 1968 science fiction movie, 2001: A Space Odyssey, the spaceship doscovery was sent on a mission to Jupiter. Astronaut Frank Poolie in Discovery wanted to know the location of the Sun-Jupiter barycenter, where barycenter is defined as te center of mass between those two bodies that are orbiting each other. Feel free to look up all appropiate Sun and Jupiter data to wrok these problems. The distance of the center of the sun to jupiter barycenter is defined by x.
a) What is x, the distance from the center of the sun to the Sun-Jupiter barycenter? You can calculate it by knowing the center of mass of the Sun-Jupiter system.
you dont have to search for the masses of the Sun and Jupter. Just use a symbol. ex: Ms for mass of sun
Explanation / Answer
The sun jupiter barycenter is approximately 55000 km from the centre of the sun. tHE r1/R1 is also approximately 0.8
r1 is the distance of body one to the barycenter and R1 is the distance of body two from the barycenter.
sun m1:-333000 jupiter m2:- 0.000955*m1
a is 5.20 AU (distance from centre of two body)
so using all these values , r1:- a/1+m1/m2 when we will find this r1 then this value will be the barycentre from object one as in this case it is 55000 km from sun