--%>
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 : What is basic SI unit of electric

    basic SI unit of electric current is termed as Ampere: A (after A.M. Ampere, 1775-1836) The basic SI unit of electric current, stated as the current that, when going via two infinitely-long parallel conductors of v

    		•
  • Q : Explain Right-hand rule Right-hand

    Right-hand rule: The trick for right-handed coordinate systems to establish which way the cross product of two three-vectors will be directed. There are some forms of this rule, and it can be exerted in many manners. If u and v are two vectors that ar

    		•
  • Q : Simulation using VMD and NMD programes

    I need the homework to be finished in five days. and could you please tell me if you are familiar with VMD and NMD simulation programs or not? I will send you some docments that I think it could help to solve the homework questions. But please send me an email so I can attached both files. all b

    		•
  • Q : Branches of physics Briefly list out

    Briefly list out the name of all the branches of physics?

    		•
  • Q : Weights in pounds of the liquid gallons

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

    		•
  • Q : Define Parsec Parsec : The unit of

    Parsec: The unit of distance stated as the distance pointed by an Earth-orbit parallax of 1 arcsec. It equals around 206 264 au, or about 3.086 x 1016 m

    		•
  • Q : Define Coulomb or SI unit of electric

    Coulomb: C (after C. de Coulomb, 1736-1806): The derived SI unit of an electric charge, stated as the quantity of charge shifted by a current of 1 A in a period of 1 s; it therefore has units of A s.

    		•
  • Q : Ampere's law Explain  Ampere's law?  

    Explain Ampere's law?   Ampere's law (A.M. Ampere):

  • 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 : Define Henry or SI unit of inductance

    Henry: H (after W. Henry, 1775-1836): The derived SI unit of inductance, stated as the inductance of a closed circuit in which the electromotive force of 1 V is generated whenever the electric current differs uniformly at a rate of 1

    		•