PhD research
Modelling the dynamics of charged dust in planetary rings
My research focuses on charged dust dynamics in planetary rings, an example phenomenon being the spokes of Saturn, transient ~radial dust clouds lofted away from the ring plane by electromagnetic forces and shown by Cassini's wide angle camera below.
![Cassini movie](https://www.datocms-assets.com/74546/1598372617-cassinigif.gif)
[Image credit: NASA/JPL/Space Science Institute]
I use numerical methods and algorithms to model the behaviour of dust in orbit around Saturn, particularly focussing on the phenomenon of ring rain, a cleansing mechanism which could make the rings appear more youthful than they are. I relate the complex orbital outcomes of charged grains to observations of H3+ emission, a proxy for water influx from the rings into the planet's upper atmosphere. Understanding the relative fraction of non-ice to ice grains precipitating along magnetic field lines onto the planet is key to understanding the age of the rings, as this so-called ring rain could be a cleaning mechanism whereby silicate/tholin/haematite material could be preferentially removed from the rings,
A grain's trajectory is solved by simultaneously integrating its position and velocity using an adaptive Runge-Kutta integrator, and the time-variable charge using a stochastic algorithm with binary tree traversal to handle multiple currents in Saturn's plasma environment.
![Eg simultaneous integration](https://www.datocms-assets.com/74546/1598372594-phdqtrajectoryeg.png)
![Eg binary tree](https://www.datocms-assets.com/74546/1598374127-binarywalkeregoutput.png)
![Eg grain trajectory](https://www.datocms-assets.com/74546/1611760382-egthesisfig5pt12.png)
![Stability map](https://www.datocms-assets.com/74546/1598372576-phdstabilitymapeg.png)
Resonant features are also present (the diagonal suite of sims for intermediate charge-to-mass ratios in the q<0 figure above), e.g. when the epicyclic frequency is an integer multiple of the mirror bouncing frequency (κ = 2Ωb):
![Eg resonance](https://www.datocms-assets.com/74546/1598373232-saturnlstar-2pt050rl3pt00067daystlambda.png)
I make spirographs amongst other things!