--%>
Assignment Help - homework help

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 : Define Volt or SI unit of electric

    Volt: V (after A. Volta, 1745-1827): The derived SI unit of electric potential, stated as the difference of potential among the two points on a conductor fetching  a constant current of 1 A whenever the power dissipated between the points is 1 W;

    		•
  • Q : Kirchhoffs rules or Loop rule or Point

    Explain Kirchhoff's rules or Kirchhoff's Loop rule and Point rule? Kirchhoff's rules (G.R. Kirchhoff) <

    		•
  • Q : Blackbody radiation What is Blackbody

    What is Blackbody radiation - The radiation - that is the radiance at specific frequencies all across the spectrum -- generated by a blackbody -- which is, a perfect radiator and absorber of the heat. Physicists had complexity exp

    		•
  • Q : Describe the term ntu in thermodynamics

    Describe the term ntu in thermodynamics? Illustrate in short.

    		•
  • Q : Define Eddington limit Eddington limit

    Eddington limit (Sir A. Eddington): The hypothetical limit at which the photon pressure would surpass the gravitational attraction of a light-emitting body. That is, a body emanating radiation at bigger than the Eddington limit would

    		•
  • Q : Instrument used to measure the volume

    Name the instrument which is used to measure the volume? Explain in short?

    		•
  • Q : What is Magnus effect Magnus effect :

    Magnus effect: The rotating cylinder in a moving fluid drags a few of the fluid about with it, in its direction of rotation. This raises the speed in that area, and therefore the pressure is lower. Therefore, there is a total force on the cylinder in

    		•
  • Q : What is Cosmic censorship conjecture

    Cosmic censorship conjecture (R. Penrose, 1979): The conjecture, so far wholly undemonstrated in the context of general relativity, that all singularities (that is with the possible exception of the big bang singularity) are attended

    		•
  • Q : Define Tipler machine Tipler machine:

    Tipler machine: The solution to Einstein's equations of general relativity which permits time travel. A tremendously dense (that is, on the order of the density of neutron star matter), infinitely-long cylinder that rotates very quickly can form close

    		•
  • Q : What MeV in MeV photon signify What

    What does MeV in MeV photon signify? Briefly describe it.

    		•