The Earth revolves around the Sun in one year. If the distance between them becomes double,the new period of revolution will be

$A$ geostationary satellite is taken from one orbit to another orbit,whose distance from the centre of the Earth is $2$ times that of the earlier orbit. The time period in the second orbit is how many hours?

The time period of a geostationary satellite is $24 \; h$,at a height $6 R_{E}$ ($R_{E}$ is the radius of the Earth) from the surface of the Earth. The time period of another satellite whose height is $2.5 R_{E}$ from the surface will be:

$A$ star of mass $M$ (equal to the solar mass) with a planet (much smaller than the star) revolves around the star in a circular orbit. The velocity of the star with respect to the centre of mass of the star-planet system is shown below. The radius of the planet's orbit is closest to .......... $AU$ ($1 \, AU =$ Earth-Sun distance).

The Earth revolves around the Sun in an elliptical orbit with a mean radius of $9.3 \times 10^{10} \ m$ in a period of $1$ year. Assuming that there are no outside influences,which of the following statements is true?

$A$ planet is revolving around the sun in an elliptical path as shown in the figure. Which of the following is the correct option?