LAB-- Kepler's
Third Law
Looking through your telescope
you discover a solar system with six planets. (Your telescope image
is digitized at this site.)
You wish to determine the mass of the star at the focus of the planetary
motion. You decide to use Kepler's Third Law to do so.
DATA:
You recruit a fellow scientist
to help you analyze the image that has been digitized by your computer,
HAL. You and your colleague decide that HAl has recorded distance in
________ and time in _________. While this is fine for Hal, you must
find the mass in kilograms which requires distance in meters and time
in seconds.
CONVERSION:
So you recruit a third colleague
to act as your computer expert. This colleague will use a spreadsheet
such as EXCEL or Graphical Analysis to convert your data to the correct
units.
ANALYSIS:
So the three of you confer
and realize that a mathematician is needed for your team. This fourth
member of your team must create a graph (Graphical Analysis) that utilizes
the power of Kepler's Third Law. Your mathematician confers with the
team and decides to produce a graph of _____________ vs ____________
for the six trials you record data. The slope of your graph is quite
critical. Discuss this with your team. (What should you graph and why
is the slope so important?)
Now you are ready to take
data. Your tools are the "digitized image"and a computer or
graphing calculator.
To obtain two new planets
to analyze, press "NEW" and HAL obeys!
Kepler's Third Law DATA
|
| |
Period of
Revolutions
|
Radius of Revolution-m
|
| Planet 1 |
|
|
| Planet 2 |
|
|
| Planet 3 |
|
|
| Planet 4 |
|
|
| Planet 5 |
|
|
| Planet 6 |
|
|
RESULTS:
Confer with your team and
decide how to use the value of "K" to obtain the mass of the
sun which the planets orbit. Write a short description here of how you
will do this.
What is your value of Kepler's
Constant for this system? _________________
What is the mass of this
sun? (Show your ste-up for calculations!) _____________________