Home
Class 11
PHYSICS
Two satellite S(1) and S(2) revolve arou...

Two satellite `S_(1)` and `S_(2)` revolve around a planet in coplanar circular orbits in the opposite sense. The periods of revolutions are `T` and `eta T` respectively. Find the angular speed of `S_(2)` as observed by an astronouts in `S_(1)`, are observed by an astronaut in `S_(1)`, when they are closest to each other.

Text Solution

Verified by Experts

The correct Answer is:
`omega = (2pi(eta^(2//3)+1))/(T(eta^(2//3)-1)]`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Advance MCQs|17 Videos

  • FLUID MECHANICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Problems|86 Videos

  • KINEMATICS

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical Pro.|83 Videos

Similar Questions

Explore conceptually related problems

Two satellites S_(1) and S_(2) revolve around a planet in coplanar circular orbits in the same sense their periods of revolution are 1 hour and 8hours respectively the radius of the orbit of S_(1) is 10^(4) km when S_(1) is closest to S_(2) the angular speed of S_(2) as observed by an astronaut in S_(1) is :

Two satellites S1 and S2 revolve round a planet in coplanar circular orbits in the same sense. TI1eir periods of revolution are 2 hours and 16 hours respectively. If the radius of the orbit of S_1 is 10^4 , then the radius of the orbit of S_2 is

Two satellite S_(1) and S_(2) revolve round a planet in coplanar circular orbits in the same sense. Their periods of revolution are 1hr and 8hours respectively. The radius of the orbit of S_(1) is 10^(4)km . When S_(2) is closet to S_(1) (i) the speed S_(2) relative to S_(1) as actually observed by an astronaut in S_(1) .

Two satellites S_(1) and S_(2) revolve round a planet in the same direction in circular orbits. Their periods of revolutions are 1 hour and 8 hour respectively. The radius of S_(1) is 104 km. The velocity of S_(2) with respect to S_(1) will be -

Two satellites S_(1) and S_(2) resolve round a planet in coplaner circular orbit in the same sense. Their period of revolution are 1 hour and 8 hour respectively. The radius of the orbit of S_(1) is 10^(4) km . When S_(2) is closest to S_(1) , find (a) The speed of S_(2) relative to S_(1) , (b) The angular speed of S_(2) actually observed by an astronaut is S_(1)

Two saetllites S_(1) and S_(2) revolve around a planet in coplaner circular orbit in the same sense. Their periods of revolutions are 1 hour and 8 hours respectively. The radius of orbit of S_(1) is 10^(4) km . When S_(2) is closed to S_(1) , the speed of S_(2) relative to S_(1) is pi xx 10^(n) km//h . what is the value of n ?

Two satellite S_1 and S_2 revolve roudna planet in coplanar circular orbits in the same sense. Their periods of revoltions are 1 h nd 8 h respectively. tE radius of the orbit of S_1 is 10^4 km . When S_2 is closet to S_1 ., find as. The speed of S_2 relative to S_1 and b. the angular speed of S_2 as observed by an astronaut in S_1 .

Two satellites S_1 and S_2 revole round a planet in coplanar circular orbits in the same sanse. Their periods of revolution are 1 hour and 8 hour respectively. The radius of the orbit of S_1 is 10^4 km, When S_2 is closest to S_1 find (i) the speed of S_2 relative to S_1 (ii) the angular speed of S_2 as actually observed by an astronaut is S_1.

In the above example the angular velocity of S_(2) as actually observed by an astronaut in S_(1) is -

PHYSICS GALAXY - ASHISH ARORA-GRAVITATION-Unsolved Numerical
  1. Treating the earth as a symmetrical sphere of radius R = 6400 km with ...

    Text Solution

    |

  2. A diametrical tunnel is dug across the earth. A ball dropped into the ...

    Text Solution

    |

  3. Two satellite S(1) and S(2) revolve around a planet in coplanar circul...

    Text Solution

    |

  4. A small body starts falling onto the Sun from a distance equal to the ...

    Text Solution

    |

  5. Gravitational potential difference between surface of a planet and a p...

    Text Solution

    |

  6. What woluld be the length of a day. If angular speed of earth is incre...

    Text Solution

    |

  7. A communication satellite is put in parking orbit. What is the time ta...

    Text Solution

    |

  8. A cord of length 64 m is used to connected a 100 kg astronaut to space...

    Text Solution

    |

  9. The escape velocity for a planet is 20 km//s. Find the potential energ...

    Text Solution

    |

  10. A particle of mass 1kg is placed at a distance of 4m from the centre a...

    Text Solution

    |

  11. A body of mass m rises to a height h=R//5 from the earth's surface whe...

    Text Solution

    |

  12. A missile which missed its target went into an orbit around the earth ...

    Text Solution

    |

  13. Compute the magnitude of the necessary launch velocity at B and angle ...

    Text Solution

    |

  14. Suppose Moon's orbital motion around the earth is suddenly stopped. Ma...

    Text Solution

    |

  15. Distance between the centres of two stars is 10alpha. The masses of th...

    Text Solution

    |

  16. If a body is to be projected vertically upwards from earth's surface t...

    Text Solution

    |

  17. A satellite of mass , os revolving round the eartj at height of 10R, w...

    Text Solution

    |

  18. A sapceship nears the Moon along a parabolic trajectory that almost to...

    Text Solution

    |

  19. If Earth be at one half its present distance from the sun, how many da...

    Text Solution

    |

  20. At what height from the ground will the value of ‘ g ’ be the same as ...

    Text Solution

    |