anonymous
  • anonymous
@experimentX
Physics
katieb
  • katieb
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anonymous
  • anonymous
Let's start with Keplers laws
anonymous
  • anonymous
Let's see what I remember without looking at my cheat sheet
anonymous
  • anonymous
Something about \[T^2=R^3\]

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experimentX
  • experimentX
seems like I forgot Kepler laws ... let's see
anonymous
  • anonymous
The period of an object orbital around the sun is proportional to the radius?
anonymous
  • anonymous
whose radius? or perhaps some distance? The distance between that object and the sun?
experimentX
  • experimentX
http://en.wikipedia.org/wiki/Kepler's_laws_of_planetary_motion ellipse ... semi major axis.
anonymous
  • anonymous
no cheating haha
anonymous
  • anonymous
:P
anonymous
  • anonymous
draw it with me|dw:1361862577312:dw|
experimentX
  • experimentX
|dw:1361862616815:dw|
anonymous
  • anonymous
Let's see what I remember about the semi major axis.......
DLS
  • DLS
\[\LARGE (\frac{T_1}{T_2})^2=(\frac{R_1}{R_2})^3\]
DLS
  • DLS
\[\LARGE \frac{dA}{dT}=\frac{L}{2M}\]
anonymous
  • anonymous
why do we have two semi major axis?
anonymous
  • anonymous
what ratio is that?
experimentX
  • experimentX
it doesn't matter which side you take ... lol
anonymous
  • anonymous
|dw:1361862832161:dw|
anonymous
  • anonymous
|dw:1361862878591:dw| Where is \(R_2\)
experimentX
  • experimentX
http://en.wikipedia.org/wiki/Semi-major_axis
anonymous
  • anonymous
>:O
anonymous
  • anonymous
wiki didn't explain the ratio though
anonymous
  • anonymous
LOL I'm tired. ok I get it
anonymous
  • anonymous
Let's talk about escape speed
DLS
  • DLS
\[\LARGE \sqrt{2gR}\]
anonymous
  • anonymous
|dw:1361863110279:dw| sweetheart, I have all the formulas staring at me from my notebook. I'm trying to have a discussion about those wonderful formulas
anonymous
  • anonymous
something about when the kinetic energy reaches \(\frac{GMm}{r^2}\)?
experimentX
  • experimentX
|dw:1361863195805:dw|
anonymous
  • anonymous
THanks! When do we know we have reached escape speed? \[U_f+K_f=U_i+K_i\] Let's derive escape speed. we don't have a final kinetic energy when we've reached escape speed correct?
DLS
  • DLS
\[\frac{-GMm}{R}+\frac{mv^2}{2}=0\]
DLS
  • DLS
put the total energy=0 find V
anonymous
  • anonymous
Why what's the logic behind it? WHy is the total energy zero?
DLS
  • DLS
If a body's total net mec. energy=0,it will escape from the earth's gravitational field
experimentX
  • experimentX
find the total work done when bringing object from infinity to position 'r'
anonymous
  • anonymous
oh ok, so when the kinetic energy equals the potential energy?
DLS
  • DLS
have u heard of binding energy
anonymous
  • anonymous
Let's see if I remember. When E<0 or =0
anonymous
  • anonymous
parabolic and hyperbolic orbits?
anonymous
  • anonymous
that's when they're unbound correct?
anonymous
  • anonymous
nope when E>0 is unbound
anonymous
  • anonymous
when E is less than zero is the only time when it's bound
anonymous
  • anonymous
So when the potential is greater than the kinetic energy the energy is bound?
anonymous
  • anonymous
gotta sleep =) Thanks for the discussion everyone. I look forward to hear more about bounded and unbounded Energy when I wake up. See ya :)
experimentX
  • experimentX
sorry ... was kinda busy not paying attention
experimentX
  • experimentX
this way you can do it ... for escape velocity. |dw:1361863974972:dw|
experimentX
  • experimentX
You can equate those two, and hence get the result ...
experimentX
  • experimentX
I think ... if the velocity is less than esc velocity, the orbit will be elliptical or circular at escape velocity, the orbit is parabolic, and beyond that .... it's hyperbolic.

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