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Two indentical geostationary satellite e...

Two indentical geostationary satellite each of mass `m` are moving with equal speed `upsilon` in the same orbit but their sense of rotation brings them on a collision course. What will happen to the debris?

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The collision of two satellite will be inclastic collision and they stick together after collision. Let `V` be the velocity of two satellies after collision.
According to law of conservation of linear momentum
`m upsilon + (-m upsilon) = (m + m) V` or `V = 0`
The kinetic energy of the debris in its orbit
`= (1)/(2) (m + m)V^(2) = (1)/(2) xx 2 m xx 0 = 0`
Due to gravity, the debris will fall towards Earth. During its fall, it meets with air resisatnce and may get burnt up.
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