What is the chaos theory and how does it apply to astrophysics?

1 Answer

Chaos theory is used to describe systems which become unpredictable over time.

Explanation:

Chaos theory describes systems which become impossible to predict over time. A small change in the initial conditions leads to a large change in the output.

One aspect of chaos theory is known as the butterfly effect. Weather is chaotic and the metaphor is that a butterfly which flaps its wings in Brazil causes a tornado in Texas. Weather predictions become unreliable a week or so in the future. This can be understood by the picture given below:

https://lifethroughamathematicianseyes.files.wordpress.com

By studying chaotic systems, it is possible to make better predictions. Much of the research has been driven by the need for better weather predictions.

In terms of Astrophysics, the orbits of asteroids and the orbits of some of Pluto's moons are chaotic. Chaos theory can be used to improve predictions. It is particularly important to be able to predict if an asteroid is going to come close to the Earth.