Home
Class 11
PHYSICS
A planet of mass M moves around the Sun ...

A planet of mass M moves around the Sun along an ellipse so that its minimum distance from the Sun is equal to r and the maximum distance to R. Making use of Kepler's laws, find its period of revolution around the Sun.

Text Solution

Verified by Experts

The correct Answer is:
`[pi sqrt(((r+R)^(3))/(2GM_(s))))]`
Promotional Banner

Topper's Solved these Questions

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Discussion Qns|31 Videos

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Concetual MCQ|39 Videos

  • GRAVITATION

    PHYSICS GALAXY - ASHISH ARORA|Exercise Unsolved Numerical|94 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

If a planet revolve around the sun in an elliptical orbit such that its minimum distance from sun is r_(1) and maximum distance is r_(2) . Find the distance of planet from sun when it is at a position where the line joining the planet and sun is perpendicular to the major axis of ellipse.

A planet of mass m moves along an ellipse around the Sun so that its maximum and minimum distances from the Sun are equal to r_1 and r_2 respectively. Find the angular momentum M of this planet relative to the centre of the Sun.

A planet of mass moves alng an ellipes around the sun so that its maximum distance from the sum are equal to r_(1) and r_(2) respectively . Find the angular momenture L of this planet relative to the centre of the sun. [Hint :L Rember that at the maximum and minimum distance velocity is perpendicular to tthe position vectors of the planet . Apply the princples of conservation of angula r momenture and energy .]

A planet of small mass m moves around the sun of mass M along an elliptrical orbit such that its minimum and maximum distance from sun are r and R respectively. Its period of revolution will be:

A planet of mass m moves along an ellipse around the sun so that its maximum and minimum distance from the sun are equal to r_(1) and r_(2) respectively. Find the angular momentum of this planet relative to the centre of the sun. mass of the sun is M .

PHYSICS GALAXY - ASHISH ARORA-GRAVITATION-Particle Exercise
  1. A satellite is to revolve around the earth in a circle of radius 8000 ...

    Text Solution

    |

  2. Assume the radius of the earth to be 6.4xx10^(6)m a. Calculate the t...

    Text Solution

    |

  3. A satellite of mass 2xx10^(3)kg has to be shifted from an orbit of rad...

    Text Solution

    |

  4. A double star is a system of two starts moving around the centre of in...

    Text Solution

    |

  5. If a planet was suddenly stopped in its orbit supposed to be circular,...

    Text Solution

    |

  6. A particle takes a time t(1) to move down a straight tunnel from the s...

    Text Solution

    |

  7. A planet of mass M moves around the Sun along an ellipse so that its m...

    Text Solution

    |

  8. Suppose we have made a model of the Solar system scaled down in the ra...

    Text Solution

    |

  9. Two Earth's satellites move in a common plane along circular orbits. T...

    Text Solution

    |

  10. A satellite is put in an orbit just above the earth's atmosphere with ...

    Text Solution

    |

  11. A cosmic body A moves to the sun with velocity v(0)(when far from the ...

    Text Solution

    |

  12. Two satellites S(1) and S(2) revolve round a planet in coplaner circul...

    Text Solution

    |

  13. If a planet revolve around the sun in an elliptical orbit such that it...

    Text Solution

    |

  14. For a low altitude orbit if r ~= r(p), where r(p) is planet radius, sh...

    Text Solution

    |

  15. What should be the orbit radius of a communication satellite that it c...

    Text Solution

    |

  16. The radius of a planet is R1 and a satellite revolves round it in a ci...

    Text Solution

    |

  17. The small dense stars rotate about their common centre of mass as a bi...

    Text Solution

    |

  18. An artificial satellite is moving in a circular orbit around the earth...

    Text Solution

    |

  19. A particle is projected from point A, that is at a distance 4R form th...

    Text Solution

    |

  20. A mass of 6xx10^(24) kg is to be compressed in a sphere in such a way ...

    Text Solution

    |