pls answer this
two satellites a and b revolve around a planet c so that both satellites are at the same distance from see the time taken by satellite to go around the planet is twice the time taken by a which of the two satellites will have a greater magnitude of velocity
Answers
Explanation:
Two satellites A andB are revolving around the earth in circular orbits of radius r
1
and r
2
respectively with r
1
<r
2
. Plane of motion of the two are same. At position 1, A is given an impulse in the direction of velocity by firing a rocket so that it follows an elliptical path to meet B at position 2 as shown. Focal length of the elliptical path are r
1
and r
2
respectively. At position 2, A is given another impulse so that velocities of A and B at 2 become equal and the two move together.
For any elliptical path of the satellite time period of revolution is given by Kepler's planetary law as T
2
∝r
3
where a is semi major axis of the ellipse which is
2
r
1
+r
2
in this case. Also angular momentum of any satellite revolving around the Earth will remain a constant about Earth's centre as force of gravity on the satellite which keeps it in elliptical path is along its position vector relative to the earth centre.
If the two bodies have same mass then,...
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Explanation:
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