$A$ Saturn year is $29.5$ times the Earth year. How far is Saturn from the Sun if the Earth is $1.50 \times 10^{8} \; km$ away from the Sun?

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?

The figure shows the elliptical path $abcd$ of a planet around the sun $S$ such that the area of triangle $csa$ is $\frac{1}{4}$ of the area of the ellipse. With $db$ as the major axis and $ca$ as a chord perpendicular to the major axis,if $t_1$ is the time taken for the planet to travel along the path $abc$ and $t_2$ is the time taken for the path $cda$,then:

Kepler's second law regarding the constancy of areal velocity of a planet is a consequence of the law of conservation of

The time period of a satellite of the Earth is $5$ hours. If the separation between the Earth and the satellite is increased to four times the previous value,the new time period will become ......... $hours$.

Which quantity remains constant in the orbital motion of the Earth around the Sun?