All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Science
Tethered satellites (Posted on 2005-04-13) Difficulty: 3 of 5
Two identical spheres are connected by an elastic tether. The tether obeys Hooke's Law for ideal springs. At a particular moment in time, the tether is in a straight line, at its resting length, neither stretching nor contracting. This assembly is then placed into a circular orbit around the Earth, and oriented so that a line drawn from one sphere through the tether and the other sphere points directly at the Earth.

Give a qualitative description of the motion of the two spheres relative to each other over time.

See The Solution Submitted by Larry    
Rating: 3.5000 (4 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re(2): more thoughts | Comment 9 of 13 |
(In reply to re: more thoughts by Eric)

You two are quick. You posted your comments before I could post mine.

It is possible for the center of mass orbit to not be predictable. The energy that defines the orbit (potential (gravity only) + kinetic) of the center of mass changes over time. Therefore the orbit of the center of mass will change as a function of the lenght of the spring...

Edited on April 13, 2005, 11:07 pm
  Posted by ajosin on 2005-04-13 23:06:57

Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (2)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2020 by Animus Pactum Consulting. All rights reserved. Privacy Information