How does the distance fall-off law for a magnetar's magnetic field generally compare to that of gravity over large distances?
Answer
The magnetic field often follows an inverse cube law ($1/r^3$)
Magnetic force drops off more rapidly than gravity over large distances; while gravity obeys the inverse square law ($1/r^2$), the magnetic field often follows an inverse cube law ($1/r^3$) because electric charges can cancel each other out in space.
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