Table 1: Present parameters of the Uranian irregulars and orbital damping due to gas drag exerted by Uranus extended envelope. $r_{\rm s}$ and a are the present physical radius and the present orbital semiaxis of the irregulars. $e_{\rm mean}$ is their calculated mean eccentricity tabulated in Table 2. $a_{\rm i}$ and $e_{\rm i}$ are the orbital semiaxis and eccentricity just after the GC, while $(\Delta {a})/a_{\rm i})$ and $(\Delta {e}/e_{\rm i})$ are the damping of these orbital elements since the epoch of the GC until the contraction of the Uranus envelope.

Satellite		 $r_{\rm s}{\rm [km]}$ $a[R_{\rm U}]$ $e_{\rm mean}$ $a_{\rm i}[R_{\rm U}]$ $e_{\rm i}$ $(\Delta {a})/a_{\rm i})$ $(\Delta {e}/e_{\rm i})$

Caliban		 49 283 0.191 287.5 0.1973 $1.602 \times 10^{-2}$ $3.289 \times 10^{-2}$
Sycorax 95 482 0.541 485 0.5436 $6.307 \times 10^{-3}$ $4.795 \times 10^{-3}$
Prospero 15 645 0.432 648 0.4342 $4.585 \times 10^{-3}$ $4.997\times 10^{-3}$
Setebos 15 694 0.581 701.8 0.5853 $1.123 \times 10^{-2}$ $7.366 \times 10^{-3}$
Stephano 10 314 0.251 333 0.2781 $6.058 \times 10^{-2}$ 0.1080
Trinculo 5 336 0.218 361.6 0.2501 $7.623 \times 10^{-2}$ 0.1475
Ferdinand 6 813 0.660 839.3 0.6701 $3.241 \times 10^{-2}$ $1.533 \times 10^{-2}$
Francisco 6 169 0.142 280.6 0.3593 0.6604 1.530
Margaret 5.5 579 0.633 649 0.6705 0.1209 $5.917 \times 10^{-2}$


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