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Is it possible to place an artificial sa...

Is it possible to place an artificial satellite in an orbit such that it is always visible in the sky of Lucknow or New Delhi ? Give the reason.

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Only a geostationary satellite, which revolves around the earth on the equatorial plane, may always be visible directly overhead from some place on the equator. Lucknow and New Delhi are not on the equator (nearly at `25^@` N latitude).
So, if a geostationary satellite is on this side of the earth above the equator, it would always be visible from Lucknow or New Delhi in an oblique direction towards the south, not directly overhead.
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