Correction course for an object in motion

Hi guys,
I've got an object moving.
It's doing circles as follows
x is Sin of Time squared
and
y is Cos of Time squared

I want to correct the motion with 8 shaped pattern for full circle. And S shape for half an circle (1\pi)
The correction is
x equals Sin of Time squared * Cos Time squared
and
y equals Sin of Time squared.

However if i just add x1 to x2 and y1 to y2 it stops doing circles instead drawing a tear like shape.
I think it's just what's supposed to happen, it's just that i need it to phase shift that shape in space instead and still maintain the circular motion.

 

This belongs in the Scripting forum.

I think it depends on how you're doing motion. This is what I did for a circle:

Code (CSharp):

1.         var r = 5;
2.         var offset_x = r * Mathf.Cos(flightAngle);
3.         var offset_y = r * Mathf.Sin(flightAngle);
4.         flightAngle += Time.fixedDeltaTime;
5.         if (flightAngle >= (Math.PI*2))
6.         {
7.             flightAngle = 0;
8.         }
9.         var shift_x = offset_x - r * Mathf.Cos(flightAngle);
10.         var shift_z = offset_y - r * Mathf.Sin(flightAngle);
11.         this.transform.position -= new Vector3(shift_x, ((5 - (5f*numpkin.Genetics.Stats[NumpkinStats.Flight] / 100f)) + 1) * Time.fixedDeltaTime, shift_z);
12.  

This runs in a Coroutine.