Sunday, December 21, 2014

Asteroid Dynamics

Finals are done and I am on winter break, so I finally have time to work on my thesis model.

Before getting into this, here are a few definitions:
    -Solar Radiation Pressure: Momentum transfer from photons which provide a force onto any body.
    -Yarkovsky Effect: This effect takes place due to the radiation pressure that a rotating body emits. Due to it's rotation, the force applied to the body can, over large periods of time, alter the orbital parameters of the asteroid.
    -YORP Effect: Second order Yarkovsky effect where, if the force is off axis, it provides a torque to the body and affects the rotational state of the asteroid.

Over the last few days, I have been putting a YORP model together, which I will then put into a Yarkovsky / bulk model, which I have yet to create (I had to make one first, I decided I would make the YORP). On top of that, I also need to add a Cometary function into the YORP model, which will be done after the bulk model. This model will include off-gassing. The total model will be broken up into bulk and body parameters. The bulk parameters being orbital based (radius and velocity) while the body parameters being rotation based (angle and angular velocity).

The way I currently see it going, the YORP model will be nested inside the Yarkovsky. I hope to find a way to simplify the model in an individual time dependent equation for force and torque (change in body and bulk parameters), but I don't think this will be possible for a more accurate asteroid model (not an ellipsoid). On that note, right now I use an ellipsoid for ease of computation. The lower the number of faces, the quicker it works. Once I have the model validated for the simplified model, I will run it on a more complex shape model.



Above is current output. Going counter-clockwise from the top left, the individual subplots are as follows:

-Picture of the asteroid and the rotation axis (red)
-Average temperature
-Temperature of every face
-Unit quaternion describing the angle
-Angular velocity in x-y-z directions
-Total force on surface (x,y,z)
-Torque on body