How wind patterns and ocean currents would be in a planet that does not rotates on its axis?

Imagine a world that does not rotate in its axis, the planet is not tidally locked so no half is hotter or colder than other. For example the planet does not rotate because it is in a binary sistem where the two gravital forces of the stars cancel each other, but could be any other reason.

In this bizarre planet, I assume the Coriolis effect would be zero so how would the wind pattern and ocean currents be affected?

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How wind patterns and ocean currents would be in a planet that does not rotates on its axis?

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