Is there a way to smooth Constraint like "Track to" or "Copy Location"?

I made a Butterfly moves with this tutorial:
I try to track the Butterfly with camera like in here:

But now camera is going up and down all the time. I tried to move those empties and tried to change track axis, but no help. Is there any way to smooth or block tracking Z-axis?

For both mentioned object constraints:

  • RED: The Z axis(s) can be disabled to disallow the tracking or copying of that axis

  • GREEN: A lower value of the Influence should help smooth your object’s constraint transforms.

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Thanks. It was very hard to get it work good, but now I am satisfied. I think that Easiest way would be only keying camera moves without modifiers.