• Use the “clear optional features” button to remove the 1st Law
features.
• Open the Kepler's 2nd Law tab.
• Press the “start sweeping” button. Adjust the semimajor axis and
animation rate so that the planet moves at a reasonable
speed.
• Adjust the size of the sweep using the “adjust size”
slider.
• Click and drag the sweep segment around. Note how the shape of
the sweep segment changes, but the area does not.
• Add more sweeps. Erase all sweeps with the “erase sweeps”
button.
• The “sweep continuously” check box will cause sweeps to be
created continuously when sweeping. Test this option.
1. Erase all sweeps and create an ellipse with a = 1 AU and e = 0. Set the fractional sweep size to one-twelfth of the period. Drag the sweep segment around. Does its size or shape change?
2. Leave the semi-major axis at a = 1 AU and change the eccentricity to e = 0.5. Drag the sweep segment around and note that its size and shape change.
3. What eccentricity in the simulator gives the greatest variation of sweep segment shape?
1) No, with e = 0, neither its size or shape changes
--------------------------------------
2) The sweep segment is the skinniest when it is placed all the way to the right of the sun.
The sweep segment is fattest when all the way to the left.
The planet is closest to the sun when it is sweeping out the fattest segment (astronomers call it perihelion) and farthest from the sun when it is sweeping out the skinniest segment (astronomers call it aphelion)
-------------------------------------------------------------------------------
3) the greatest variation of sweep segment shape is given at eccentricity of about 0.6 - 0.7
• Use the “clear optional features” button to remove the 1st Law features. • Open the Kepler's 2nd Law tab. • Press...
Multivariable Calculus help with the magnitude of angular
momentum: My questions is exercise 4 but I have attached exercise 1
and other notes that I was provided
4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...