Work experience project on celestial mechanics

*** Frequency output ***

Click on diagram to enlarge.

The aim of our project was to acquire the frequencies as a function of the semi-major axes of Jupiter and Saturn at given times. We then mapped them onto a 3-dimensional graph. In our simulations we also took into account the other orbiting massive bodies, Uranus and Neptune. Our graph is laid out with Jupiter's semi-major axis on the x-axis, Saturn's semi-major axis on the y-axis and the frequency of the two on the z-axis. Our results show that as the semi-major axis of the planets changed there was only moderate changes in the frequency of the planets. However there was a large spike in frequency when Jupiter's semi-major axis was approximately 5.4AU, and Saturn's, 8.7AU. We recorded a frequency that was more than five times larger that the nearest point. Upon further investigation we found that this occurred due to a near mean motion resonance between Jupiter and Saturn of 2:1.

- Cathal

2017 May 4th

Last Revised: 2017 May 12th