What could be the physics behind witches flying on broomsticks?

Using our world's physics, how could one explain the mechanics behind a witch on a broomstick? Not just the propelling part, but even the most basic fact - sitting on a broomstick - seems problematic: The center of gravity of human body is far above the broomstick, so within a second, a witch would just turn flying upside down (making landings very painful among other problems).

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What could be the physics behind witches flying on broomsticks?

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