The third law describes the relationship Kepler observed between a planet's distance from the sun and the time it takes to make one complete orbit around the sun. Kepler stated that the square of a planet's orbital period in years was equal to that planet's distance from the sun in Astronomical Units (AU) cubed, where and AU is the average distance of the Earth to the Sun (149 million kilometers).
orbit_kepler.pyfor Kepler's Third Law of planetary motion. This program will ask the user for the name of the planet and its average distance from the sun in astronomical units (AU). It should then calculate the orbital period of this planet in years and display the result to the user. Make sure to follow the Python Style Guide when writing your program.
Test your code with the following values for planets orbiting the Sun:
|Planet||AU from Sun||Period|
The big G in Newton's equation is the Gravitational Constant from physics, and is in terms of meters cubed over kilograms times seconds squared.
orbit_newton.pyto use Newton's reformulation of Kepler's Third Law. The user will be asked to enter the name of the planet, the average distance from the star in AUs, the mass of the star in kilograms, and the mass of the planet in kilograms. Since Newton's law uses meters instead of AU, you will have to convert the user's input into the appropriate value, using the definition of 1 AU as 149 million kilometers. Calculate the orbital period of the planet next, and output the result to the user. Your formula will calculate the period in seconds, but you should convert your answer and return to the user the number of days in the orbital period.
orbit_newton.py using the following data about the red dwarf star
Gliese 581 and the three planets
detected so far which orbit this star. Current scientific research is
focused on this star system since
planet c is close in size to Earth and is
a comparable distance from Gliese 581 (reported in April 2007), meaning it may lie in the
Habitable Zone for life, although further
research has shown that planet d is more likely to be located well. Report your
results for the orbital period of these planets in the
Lab3 Evaluation Google Doc
|Planet||AU from Star||Mass in kg|
|e||0.03||1.1589 X 10^25|
|b||0.04||9.3496 X 10^25|
|c||0.07||3.2022 X 10^25|
|d||0.22||4.2357 X 10^25|
math.pi, namely 3.1415926535897931. This is only an estimate of Pi; others have calculated 1,000,000 digits of Pi, but this is still only an estimate of this irrational number. Test out the sensitivity of your calculations above to different values of Pi, using 3.14 and 3.14159, and record your results in
Lab3 Evaluation Google Doc. Be sure to return your code to use the original
math.pibefore you turn in your code.
Lab3 Evaluation Google Doc:
orbit_newton.py, the Mass of the planet or the distance from the star? Why?
cs.centenary.edu. Now within your csc207 directory, create a new directory called
lab3. Copy the above three files into this directory.
Make sure you run
through the Python
style guide checking program before you turn in your work. If you worked with a
partner, you both must hand in the files you wrote, with both of your names in the header
at the top of the file.