If earth be half of its present distance from sun, for how many days will the present one year on the surface of the earth change?
Ans: \(236days.\).
The distance of two planets from the sun are \(10^{13}\) and \(10^{12}m\) respectively. Find: the ratio of time periods and speed of two planets.
Ans: \(\frac{v_{1}}{v_{2}}=\frac{1}{\sqrt{10}}\).
A planet is supposed to move around the sun twice as fast as the earth. What would be the planet’s orbital size as compared to that earth?
Ans: \(r_{p}=0.63\times r_{e}=0.63AU\).
In an imaginary planetary system, the central star has the same mass as our sun, but is brighter so that only a planet twice the distance of earth and the sun can support life. Assuming biological evolution (including aging process etc) on that planet is similar to ours. What would be the average life span of a human on that planet in terms of its natural years? The average life span of a human on earth may be taken as \(80Yrs\).
Ans: \(T_{p}=28.28Yrs\).
A geostationary satellite is orbiting the earth at a height of \(6R\) above the earth’s surface where \(R\) be the radius of the earth. What will be the time period of the other satellite at a height \(2.5R\) from the surface of earth?
