Ok it seems you got a litlle bit far for what you wanna achieve.
First, you can spawn a particle on a shape the way you want, by building your own parametric coordinates (See buildPCoordSphere for instance) and then use those coordinates to sample the position on the desired shape.
Secondly, you can make a particule turning around a position using sin/cos fucntions in a script (in a localspace). I've linked you 2 images of the effect i just made, that shurely will help you making yours.
Finally, for the particle facing out the circular path, just use the billboard mode in PlanarAlignedQuad. Don't forget to fill AxisField and Axis2Field.
Let me know if this helped you.