--%>

Problem on spacecraft

Assuming that ground stations are equally distributed on the Earth, how many ground stations are required to maintain constant contact with a spacecraft at 750 km altitude, and 72 degrees inclination?

E

Expert

Verified

Given:

θ (theta) = 72°, Perpendicular distance of spacecraft=750 km.

We know that, 1° = π/180 radian, Radius of earth=6400 km. 
So, 72°= (72*π)/180 radian,
           = 2*π/5
Since,
θ = Arc/Radius,

Therefore, Arc = θ*Radius,
                      =2*π*750/5,
                      = 300π

Circumference of earth = 2*π*Radius
                                  = 2*π*6400

No. of space station = Circumference of earth/2*Arc
                             = (2*π*6400)/(2*300*π)  
                             = 21 space station (approx.)

   Related Questions in Physics

  • Q : Weights in pounds of the liquid gallons

    Write down the weights in pounds of the liquid gallons? Briefly describe it.

  • Q : Define Fermats principle Fermat's

    Fermat's principle: principle of least time (P. de Fermat): The principle, put onward by P. de Fermat that explains the path taken by a ray of light among any two points in a system is for all time the path which takes the least time.

  • Q : What is Pfund series Pfund series: The

    Pfund series: The series that explains the emission spectrum of hydrogen whenever the electron is jumping to the fifth orbital. Each line is in the infrared part of the spectrum.

  • Q : What is Hubble constant Hubble constant

    Hubble constant: H0 (E.P. Hubble; 1925): The constant that determines the relationship among the distance to a galaxy and its velocity of recession due to the growth of the Universe. As the Universe is self-gravitating, it is not trut

  • Q : What do you mean by the term alloy What

    What do you mean by the term alloy? Briefly illustrate it.

  • Q : What is Super fluidity Super fluidity :

    Super fluidity: The phenomenon by which, at adequately low temperatures, a fluid can flow with zero (0) viscosity. These causes are related with the superconductivity.

  • Q : Negative mass defect State is it

    State is it possible that the nucleus consists of negative mass defect?

  • Q : What is Standard quantum limit Standard

    Standard quantum limit: It is the limit obligatory on standard techniques of measurement by the uncertainty principle in quantum mechanics.

  • Q : Define Heat pumps Heat pumps move heat

    Heat pumps move heat from one place to another. They work similar to refrigeration. The movement of heat takes energy, either electrical energy as in the use of  vapor compression heat pumps or thermal energy as in the use of absorption heat pump

  • Q : Velocity of the particle Determine the

    Determine the Velocity of the particle in terms of component veocities?