But a change of inclination of the orbit will result in a change in the obliquity.
The top image shows a planet with an obliquity of 0 (axis of rotation at a right angle to the orbital plane).
The bottom shows the same planet after the inclination of its orbit has been changed, Since the direction the axis of rotation doesn't change, the angle between the rotational axis and the orbital plane does, and we get a different obliquity.
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