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Two satellites are revolving round the …

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Two satellites are revolving round the earth at different heights. The ratio of their orbital speeds is 2:1. If one of them is at a height of 100km, the height of the other satellite is (Radius of earth R=6400 km )
  • 1 answers

Abhinav Chauhan 3 years, 8 months ago

Orbital velocity is given by:  V=R+hGM​​ Where G is the Universal Gravitational constant, M is the mass of the Earth, h is the height of the satellite from the earth's surface and R is the radius  of the earth.  V∝R+h​1​ V2​V1​​=R+h1​R+h2​​​ Given: V2​V1​​=12​, h1​=100 km and R=6500 km  ⇒12​=6400+1006400+h2​​​ ⇒6400+h2​=4×6500=26000 km  Hence, the height above the earth's surface, h2​=26000−6400=19600 km
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