NTNUJAVA Virtual Physics LaboratoryEnjoy the fun of physics with simulations! Backup site http://enjoy.phy.ntnu.edu.tw/ntnujava/  January 18, 2021, 03:49:48 pm  Welcome, Guest. Please login or register.Did you miss your activation email? 1 Hour 1 Day 1 Week 1 Month Forever Login with username, password and session length Pages:    Go Down Author Topic: Space shuttle in a circular orbit with a small satellite held above  (Read 6887 times) 0 Members and 1 Guest are viewing this topic. Click to toggle author information(expand message area).
Fu-Kwun Hwang
Hero Member      Offline

Posts: 3086   « Embed this message on: March 02, 2011, 09:47:16 pm » posted from:Taipei,T\'ai-pei,Taiwan 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 $M_s$, mass of satellite is $m_s$, Mass of earth is $M$.
The tension along the rode is $T$. The radius of earth is $R_e$.
Let $r=R_e+H$, the angular velocity is $\omega$

Before the satellite is released.
For space shutter: $M_s r \omega^2+T = \frac{G M M_s}{r^2}$

For satellite: $m_s (r+h) \omega^2 -T =\frac{G M m_s}{(r+h)^2}$

From the above two equations: $\omega =\sqrt{\frac{G M(M_s/r^2+m_s/(r+h)^2)}{M_s r+m_s(r+h)}}$

When the satellite is released, tension T become zero.
For space shutter: the gravitation force $\frac{G M M_s}{r^2}> M_s r \omega^2$ , so space shutter move inward.
For satellite: the gravitation force $\frac{G M m_s}{(r+h)^2}< m_s (r+h) \omega^2$, so satellite move outward.
Both of them become an ellipse orbit.

Embed a running copy of this simulation

Embed a running copy link(show simulation in a popuped window)
Full screen applet or Problem viewing java?Add http://www.phy.ntnu.edu.tw/ to exception site list   Logged
 Related Topics Subject Started by Replies Views Last post  kepler orbit derivation Dynamics PeterV 0 17099 April 01, 2006, 12:11:18 am by PeterV  Physlets: Physics Applets, are small flexible Java applets designed for science Physics related resources Fu-Kwun Hwang 0 4796 October 02, 2009, 05:11:21 pm by Fu-Kwun Hwang  space shuttle motion with impulse Dynamics Fu-Kwun Hwang 1 8813 June 17, 2013, 07:46:36 am by lookang  space shuttle motion with impulse dynamics ahmedelshfie 0 3860 February 08, 2011, 05:38:45 pm by ahmedelshfie  Space shuttle in a circular orbit with a small satellite held above dynamics ahmedelshfie 0 4863 March 03, 2011, 05:42:20 pm by ahmedelshfie
Page created in 0.95 seconds with 23 queries. since 2011/06/15