Three planets of mass
m1 ,
m2 ,
m3 begin
at rest with position vectors
r1 ,
r2 ,
r3 respectively.
The masses are then released, and move only in the 2D plane of the diagrom below in a chaotic manner.
After some time t, the position vectors of
m1 and m2 are
r1' ,
r2' respectively.
Find |r3'|,
the distance from m3 to the origin at that time.
Data:
m1 = 1.00×1024 kg,
m2 = 2.00×1024 kg,
m3 = 3.00×1024 kg,
r1 = (1.00, 0.00)
r2 = (1.00, -2.00)
r3 = (-1.00, 2.00)
r1' = (3.93, -0.20)
r2' = (-1.06, 0.59)