Length of
arc,I=4.4ly=4.4×9.46×1015 =4.1624×1016m [∵1Iy=9.46×1015m] Angle subtended by arc, θ = 4 s
Number of revolution, n = 4
Speed of body,
v=8AUs−1=1.5×1011×8=1.2×1012ms−1[∵1AU=1.5×1011m]
We know that, length of arc subtended by an angle,
I=Rθ Here, R = radius of arc.
Substituting the values in above expression, we get
4.1624×1016=R×4×()×() (∵1s=degree) R=2.146×1021m We know that, time = distance/speed
t= (∵ Distance = n × length of circular path )
Substituting the values in above expression, we get
t= =4.5×1010s Thus, the time required is
4.5×1010s.
