If the earth didn't turn on its axis, could you still define the ecliptic?

Question

If the earth didn't turn on its axis, could you still define the ecliptic?

Answer 1

Yes, it could be noted in one year by examining the daily azimuth and altitude to calculate the zenith point.

Answer 2

The ecliptic is the plane of the earth's orbit around the Sun, so you could still define it. You might have trouble defining the zero point, however, which is the Vernal Equinox and depends on the direction of the Earth's axis.

Answer 3

Yes.  The plane of the ecliptic is the plane of the Earth's orbit around the Sun, not the plane of the equator (which is the plane of the Earth's rotation).  They're significantly different.