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Two DOF: two sensors?

If the missile is spinning, you can do it with one. The original Sidewinder air to air missile worked that way.

Neat, thanks. I should have thought of that.

And now the name 'sidewinder' makes perfect sense

While it may have been a secondary reason, it's named after the snake for the sensory "heat seeking" attribute: https://en.wikipedia.org/wiki/Crotalus_cerastes

I had always assumed it was due to the use of roller stabilized fins / rollerons.