Scientists want to place a 3400.0 kg satellite in orbit around mars. they plan to have the satellite orbit at a speed of 2480.0 m/s in a perfectly circular orbit. here is some information that may solve this problem:
mmars = 6.4191 x 1023 kg
rmars = 3.397 x 106 m
g = 6.67428 x 10-11 n-m2/kg2
1) what radius should the satellite move at in its orbit? (measured frrom the center of mars.)
2) what is the force of attraction between mars and the satellite?
3) what is the acceleration of the satellite in orbit?
4) what should the speed of the orbit be, if we want the satellite to take 8 times longer to complete one full revolution of its orbit?

Part a)

Part b)

Part c)

Part d)

Explanation:

Part a)

As we know that the orbital speed of the satellite is given as

now we will have

now we have

now we have

Part b)

Here force between mars and satellite is the gravitational attraction force which is given as

Part c)

Acceleration of satellite is the ratio of gravitational force and mass of the satellite

Part d)

As we know by III law of kepler

here we know that T2 = 8 T1

so we have

as we know that speed is given as

so we can say since radius is orbit becomes 4 times so the orbital speed must be half

from 1609, galileo galilei used the recently invented telescope to observe the sun, moon and planets. he saw the mountains and craters of the moon, and for the first time revealed the planets to be worlds in their own right. galileo also provided strong observational evidence that planets orbited the sun.

his discoveries about the moon, jupiter's moons, venus, and sunspots supported the idea that the sun - not the earth - was the center of the universe, as was commonly believed at the time.galileo turned his gaze toward venus, the brightest celestial object in the sky - other than the sun and the moon.