A luffing-jib tower crane, comprising a tower and a jib which is connected to a section of the tower via a joint, wherein the jib and that section of the tower which is connected to it can be rotated about the vertical axis by means of at least one slewing gear, wherein the luffing-jib tower crane has: at least one measuring device which, at least in the out-of-service state of the luffing-jib tower crane, measures the wind direction and the wind strength, and a control device, to which the measured values are transmitted and which, if a predefined wind-strength measured value is exceeded, causes the jib to rotate in the measured wind direction by means of the slewing gear.
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