The period of the orbit of the spacecraft around Venus is 5187.3 seconds.
What did the period of motion of a an object?
The period, T, of an object in circular motion is the time taken for one complete revolution.
The period, T, of the planetary body is given as:
[tex]T = 2\pi\sqrt{\frac{r^{3}}{Gm}}[/tex]
where;
- r is the radius
- G is universal gravitational constant = 6.67 × 10^-11 Nm^2/kg^2
- m is the mass
Substituting the values:
[tex]T = 2\pi\sqrt{\frac{(6.05 \times 10^{6})^{3}}{6.67 \times 10^{ - 11} \times 4.87 \times 10^{24}}} = 5187.8s[/tex]
Therefore, the period of the orbit of the spacecraft is 5187.3 seconds.
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