You are the science officer on a visit to a distant solar system. prior to landing on a planet you measure its diameter to be 1.8 × 107 m and its rotation period to be 22.3 hours. you have previously determined that the planet orbits from its star with a period of 402 earth days. once on the surface you find that the acceleration due to gravity is 59.7 m/s2. what are the mass of (a) the planet and (b) the star?

Part a)

Part b)

Explanation:

Part a)

As we know that the diameter of the planet is given as

now the radius of the planet is given as

now we know that the acceleration due to gravity of the planet is given by the equation

here we know that

now from above equation we have

now we have

Part b)

Now by kepler's law we know that

time period of revolution of planet about the star is given as

so we have

now we have

mula of time period

Now we have

r = ρ x length / area  

ρ = r x area / length  

ρ is in ohm-meters  

in basic units, it is m³kg/s³a²  

i think this is it.