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The formation channel of the tens of compact debris discs which orbit whitedwarfs (WDs) at a distance of one Solar radius remains unknown. Asteroids thatsurvive the giant branch stellar phases beyond a few au are assumed to bedynamically thrust towards the WD and tidally disrupted within its Rocheradius, generating extremely eccentric (e>0.98) rings. Here, we establish thatWD radiation compresses and circularizes the orbits of super-micron to cm-sizedring constituents to entirely within the WD's Roche radius. We derive a closedalgebraic formula which well-approximates the shrinking time as a function ofWD cooling age, the physical properties of the star and the physical andorbital properties of the ring particles. The shrinking timescale increaseswith both particle size and cooling age, yielding age-dependent WD debris discsize distributions.

Formation of planetary debris discs around white dwarfs II: Shrinking extremely eccentric collisionless rings