Applet design by prof Hwang, Modified layout by Ahmed.
Original Applet [url=http://www.phy.ntnu.edu.tw/ntnujava/index.php?topic=2129]Space shuttle in a circular orbit with a small satellite held above[/url]
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:
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.