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प्रश्न
What is meant by the superposition of the gravitational field?
उत्तर
The total gravitational field at a point due to all the masses is given by the vector sum of the gravitational field due to the individual masses. This principle is known as the superposition of gravitational fields.
`vec"E"_"total" = vec"E"_1 + vec"E"_2 + ... vec"E"_"n"`
= `-"Gm"_1/"r"_1^2 hat"r"_1 - "Gm"_2/"r"_2^2 hat"r"_2 - "Gm"_"n"/"r"_"n"^2 hat"r"_"n"`
`vec"E"_"total" = -sum_("i" = 1)^"n" ("Gm"_"i")/("r"_"i"^2) hat"r"_"i"`
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