Maharashtra State BoardHSC Science (General) 11th
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Answer the following question. State the conditions for various possible orbits of satellite depending upon the horizontal speed of projection. - Physics

Answer in Brief

Answer the following question.

State the conditions for various possible orbits of satellite depending upon the horizontal speed of projection.

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Solution

The path of the satellite depends upon the value of the horizontal speed of projection vh relative to critical velocity vc and escape velocity ve.

Case (I) vh < vc:

The orbit of the satellite is an ellipse with a point of projection as apogee and Earth at one of the foci. During this elliptical path, if the satellite passes through the Earth’s atmosphere, it experiences a nonconservative force of air resistance. As a result, it loses energy and spirals down to the Earth.

Case (II) vh = vc:

The satellite moves in a stable circular orbit around the Earth.

Case (III) vc < v< ve:

The satellite moves in an elliptical orbit around the Earth with the point of projection as perigee.

Case (IV) vh = ve:

The satellite travels along the parabolic path and never returns to the point of projection. Its speed will be zero at infinity.

Case (V) vh > ve:

The satellite escapes from the gravitational influence of Earth traversing a hyperbolic path.

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APPEARS IN

Balbharati Physics 11th Standard Maharashtra State Board
Chapter 5 Gravitation
Exercises | Q 2. (xv) | Page 97
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