Animate object along ellipse or irregular curve

I got an ellipse. I got a cube. I want the cube to loop through along the ellipse. In Blender, I can do this easily. Press Ctrl-P(that is parent) and select Curve Deform from the menu. Then just animate the X position of the cube.

But B4W does not support this. The cube just animates along its global X axis and not along the ellipse.

So how do you guys in Moscow think this can be done?

I browsed through the Constraints API documentation, but can't decide if any of the methods there would be suitable for this particular type of animation.

Hi. You need to bake the result to baked animation using Blender Baker Tool with Visual Bakink parameter.

Oh! Thanks that's a great tip.
But it's not mentioned anywhere in the manual.

Oh! Thanks that's a great tip.
But it's not mentioned anywhere in the manual.

You can't find about this solution directly, but blend4web do nor support any blender modifiers, so it's the answer.