--%>

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 : Problem on synchronous TDM We require

    We require using synchronous TDM and joining 20 digital sources, each of 100 Kbps. Each and every output slot carries 1 bit for each digital source, however one extra bit is added up to each frame for synchronization.

    Q : What do you understand by the term

    What do you understand by the term Ambient Reflection? And also write down its characteristic?

  • Q : Characteristics of electronics what is

    what is the characteristics of electronics ?

  • Q : Non-Parametric Tests Activity

    Activity 9:   Non-Parametric Tests    4Non-Parametric Tests While you have learned a number of parametric statistical techniques, you are also aware that if the assumptions related to

  • Q : Explain Boyle's law Boyle's law (R.

    Boyle's law (R. Boyle; 1662); Mariotte's law (E. Mariotte; 1676) - The product result of the volume and pressure of an ideal gas at constant (steady) temperature is constant.

  • Q : Define Brackett series Brackett series

    Brackett series (Brackett) - The series (or sequence) that explains the emission spectrum of hydrogen whenever the electron is jumping to fourth orbital. All of the lines are in the infrared segment of the spectrum.

  • Q : Why Cadmium rods are given in a nuclear

    Cadmium rods are given in a nuclear reactor. Explain why?

  • Q : Define Static limit Static limit : The

    Static limit: The distance from a rotating black hole where no spectator can possibly stay at rest (with respect to the far-away stars) since of inertial frame dragging; this area is external of the event horizon, apart from at the poles where it meet

  • Q : Explain Archimedes' principle What is 

    What is Archimedes' principle? A body which is submerged in a fluid is buoyed up by a force equivalent in magnitude to the weight of the fluid which is displaced, and directed upward all along a line via the c

  • Q : Define Landauers principle Landauer's

    Landauer's principle: The principle which defines that it doesn't explicitly take energy to calculate data, however instead it takes energy to remove any data, as erasure is a vital step in computation.