ï»¿ A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to the mass of the earth. Then, from Physics Gravitation Class 11 Manipur Board

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A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small as compared to the mass of the earth. Then,

• the angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant

• the total mechanical energy of S varies periodically with time

• the linear momentum of S remains constant in magnitude

• the acceleration of S is always directed towards the centre of the earth

D.

the acceleration of S is always directed towards the centre of the earth

As we know that, theÂ force on satellite is anÂ only gravitational force which will always be towards the centre of theÂ earth. Thus, the acceleration is S is always directed towards the centre of the earth

As we know that, theÂ force on satellite is anÂ only gravitational force which will always be towards the centre of theÂ earth. Thus, the acceleration is S is always directed towards the centre of the earth

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What is the celestial sphere?

At night, if we see the planets and the stars in the sky, all appear to lie in the hemisphere (rest of the hemisphere we are unable to see because of being on the other side of the earth). This sphere is called theÂ celestial sphere.
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The position co-ordinates of two particles of masses m1Â and m2are (x1, y1, z1) and (x2, y2, z2) respectively. Find the coordinates of the centre of mass.

The position vectors of masses m1Â and m2Â are respectively,

Let the position coordinates of the centre of mass be (X, Y, Z).

Therefore the position vector of centre of mass is,

Since, Â  Â

Â

Comparing the coefficients of Â , we get

Â

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According to the geocentric theory, all the astronomical bodies like the moon, the sun and stars revolve around the earth, and the earth is at the centre of the universe.Â
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According to the Heliocentric theory, the sun is at the centre and various planets revolve around the sun at their axis.Â
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