The Hubble Space Telescope (HST) is a scientific instrument of extreme sensitivity. Because of its finite size, the telescope is subject to a tidal force from the planet's gravitational field (much like the way the world's oceans experience tidal forces due to the moon's gravity). If this tidal force is too large, the stress may affect the desired operation of the telescope.
In this problem, treat the HST like a uniform cylinder with length and diameter orbiting with its center of mass at an altitude β above the surface of Earth, which has radius and mass . Find an approximate expression, to first order, in the satellite's dimensions ( or , or both) for the ratio of the maximum tidal acceleration of the satellite to the centripetal acceleration of its center of mass.
Note that your approximation scheme should involve the use of the binomial theorem which, to first order in , gives
(1+)β1+
as long as is a real number and ||<1.
tidal, max/c=
Answers: 1
Physics, 21.06.2019 17:00
In a closed system, the total energy prior to an energy transformation is the total energy after. a. equal to b. unrelated to c. greater than d. less than
Answers: 2
Physics, 22.06.2019 20:20
Area around a charged object where the objects can exert a force on another charged objects is an electric
Answers: 2
Physics, 22.06.2019 20:30
The great sandini is a 60.0-kg circus performer who is shot from a cannon (actually a spring gun). you donβt find many men of his caliber, so you him design a new gun. this new gun has a very large spring with a very small mass and a force constant of 1100 n/m that he will compress with a force of 4400 n. the inside of the gun barrel is coated with teflon, so the average friction force will be only 40.0 n during the 4.00 m he moves in the barrel. at what speed will he emerge from the end of the barrel, 2.50 m above his initial rest position?
Answers: 2
Physics, 22.06.2019 21:00
Describe how the motion of a spring being pushed forward and backward is similar to the motion of air particles in a sound wave.
Answers: 1
The Hubble Space Telescope (HST) is a scientific instrument of extreme sensitivity. Because of its f...
History, 05.02.2021 23:20
English, 05.02.2021 23:20
Mathematics, 05.02.2021 23:20
Mathematics, 05.02.2021 23:20
Mathematics, 05.02.2021 23:20
Mathematics, 05.02.2021 23:20
Mathematics, 05.02.2021 23:20
Arts, 05.02.2021 23:20
Arts, 05.02.2021 23:20
History, 05.02.2021 23:20
History, 05.02.2021 23:20