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Two satellites move along a circular orbit in the same direction at a small distance from each other. A container has to be thrown from the first satellite on the second a one. When will the container reach the second satellite earlier, if it is thrown in the direction of motion of the first satellite or in the opposite direction? The velocity of the container is small in comparison to that of the satellite.

Answer» <html><body><p></p>Solution :If the container is thrown in the direction opposite to the motion of the satellite, it will begin to move along an ellipse (say1) lying inside the circular orbit of the satellites. The period of revolution will be slightly <a href="https://interviewquestions.tuteehub.com/tag/less-1071906" style="font-weight:bold;" target="_blank" title="Click to know more about LESS">LESS</a> than that of te satellites. Therefore, they can met at the point of <a href="https://interviewquestions.tuteehub.com/tag/contact-25916" style="font-weight:bold;" target="_blank" title="Click to know more about CONTACT">CONTACT</a> of the orbits (circular orbit of satellite and the <a href="https://interviewquestions.tuteehub.com/tag/elliptical-969654" style="font-weight:bold;" target="_blank" title="Click to know more about ELLIPTICAL">ELLIPTICAL</a> orbit of the container) only after a reat number of revolution. On the other hand, if the container is thrown in the direction of the satellite, the container begins to move along an ellipse, like 2 in the figure. The velocity <a href="https://interviewquestions.tuteehub.com/tag/u-1435036" style="font-weight:bold;" target="_blank" title="Click to know more about U">U</a> should be such that during one revolution of the container, satellite `B` also makes one revolution and in <a href="https://interviewquestions.tuteehub.com/tag/addition-367641" style="font-weight:bold;" target="_blank" title="Click to know more about ADDITION">ADDITION</a> covers the distance `AB`. So the container shoud be thrown in the direction of the first satellite. <br/> <img src="https://d10lpgp6xz60nq.cloudfront.net/physics_images/BMS_VOL2_C06_E01_054_S01.png" width="80%"/></body></html>


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