A planet revolves around sun whose mean distance is $1.588$ times the mean distance between earth and sun. The revolution time of planet will be ........... $ years$

Let the speed of the planet at the perihelion Pin Figure be $v_{p}$ and the Sun-planet distance $SP$ be $r_{ P }$ Relate $\left\{r_{P}, v_{P}\right\}$ to the corresponding quantities at the aphelion $\left\{r_{A}, v_{A}\right\} .$ Will the planet take equal times to traverse $B A C$ and $C P B ?$

Two planets at mean distance ${d_1}$ and ${d_2}$ from the sun and their frequencies are $n_1$ and $ n_2$ respectively then

Two satellites of equal mass are revolving around earth in elliptical orbits of different semi-major axis. If their angular momenta about earth centre are in the ratio $3: 4$ then ratio of their areal velocity is ........

A satellite of mass m is circulating around the earth with constant angular velocity. If radius of the orbit is ${R_0}$ and mass of the earth M, the angular momentum about the centre of the earth is

In planetary motion the areal velocity of position vector of a planet depends on angular velocity $(\omega )$ and the distance of the planet from sun $(r)$. If so the correct relation for areal velocity is