ï»¿ The time period of an earth satellite in circular orbit is independent of from Physics Gravitation Class 11 Manipur Board

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The time period of an earth satellite in circular orbit is independent of

• the mass of the satellite

• both the mass and radius of the orbit

• neither the mass of the satellite nor the radius of its orbit.

A.

the mass of the satellite

Time period of satellite

where R + h = orbital radius of satellite,
Me = mass of earth Thus, time period does not depend on the mass of the satellite.

Time period of satellite

where R + h = orbital radius of satellite,
Me = mass of earth Thus, time period does not depend on the mass of the satellite.

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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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What is Geocentric theory?

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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Is Geodesic always a straight line?

No, Geodesic is a straight line if and only if, Â the two points lie on the flat surface. If the two points lie on the curved surface then it is a curved line.
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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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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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