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Chapter 3
                                                                                                  Gravitation
                  3.3       Man-made Satellites
                            Man-made Satellites



                  Orbit of Satellite
                  Figure 3.33 shows the International Space
                  Station, ISS, and MEASAT satellite. ISS can be       International Space       MEASAT
                                                                       Station (ISS)
                  seen from the Earth because of its large size and
                  orbits at a height of 408 km. MEASAT satellite
                  is diffi  cult to be seen because of its small size
                  and orbits at a height of 35 786 km. Satellites
                  move in orbits at specifi c heights and suitable
                  linear speeds.
                        Formulae for centripetal force and
                  Newton’s Universal Law of Gravitation are
                  used to establish and determine the linear
                  speed of satellites. Figure 3.34 shows the orbit
                  of a satellite around the Earth.
                                        v
                                                                Figure 3.33 Man-made satellite orbiting the Earth
                                            m
                                        S S
                                        Satellite
                                        Satelit
                          M         F
                                                                                 Position and path of ISS
                                                Mass of the Earth = M
                                                Mass of satellite = m
                                    r           Radius of orbit of satellite = r
                             Earth              Linear speed of satellite = v
                                                Orbital period = T
                                                                               http://bt.sasbadi.com/p4103


                                   Figure 3.34 Orbit of a satellite
                  A satellite moving in a circular orbit around the Earth experiences
                  centripetal force, which is gravitational force.                      CAREER
                                                                                              iNFO

                                                                                   Astronautical engineering
                                                                 GMm
                    Gravitational force between satellite and the Earth, F =       involves the fi eld of
                                                                   r  2
                                                mv  2                              Physics on orbital
                    Centripetal force on satellite, F =
                                                 r                                 mechanics, outer space
                    Centripetal force = Gravitational force                        environment, guidance
                              mv  2  GMm                                           and control of height,
                                   =
                               r      r  2                                         telecommunications,
                                     GM                                            aerospace structure and
                                v  =
                                 2
                                      r                                            rocket propulsion.
                                      GM
                                 v =
                                       r


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                   3.3.1                                                                            103
                   3.3.1
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