Original Applet Space shuttle in a circular orbit with a small satellite held above

a space shuttle is in a circular orbit at a height H above the Earth.A small satellite is held above the shuttle(i.e directly away from the Earth) by means of a rod of length h.i.e with a total height H+h above the Earth. The satellite is then released . The heights of the new orbit of the space shuttle and the satellite are R and r respectively.

Compare R and r with H and H+h.

Assume mass of shutter is , mass of satellite is m_s, Mass of earth is .

The tension along the rode is . The radius of earth is .

Let , the angular velocity is

Before the satellite is released.

For space shutter:

For satellite:

From the above two equations:

When the satellite is released, tension T become zero.

For space shutter: the gravitation force , so space shutter move inward.

For satellite: the gravitation force, so satellite move outward.

Both of them become an ellipse orbit.

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