Central Force Problem
Central Force Problem
Central Force Problem
SHOW LESS
You also want an ePaper? Increase the reach of your titles
YUMPU automatically turns print PDFs into web optimized ePapers that Google loves.
Unbounded Motion<br />
• Take V’ similar to 1/r 2 case<br />
• Only general features are relevant<br />
• E = E 1 r > r min<br />
E<br />
= V′<br />
( r )<br />
1 min<br />
• Particle can go infinitely far<br />
E 1<br />
V′<br />
() r<br />
1<br />
2 mr<br />
2<br />
Arrive from r = ∞<br />
E 2<br />
r<br />
Turning point<br />
E = V ′ r = 0<br />
Go toward r = ∞<br />
E 3<br />
A 1/r 2 force would<br />
make a hyperbola
Change language