Table 4: Orbital parameters in the long-term hermeocentric integration. Notes: Columns are, from left: Object designation; initial hermeocentric a and e; average a with extreme range; duration of hermeocentric orbit; rotational sense (prograde/retrograde); notes or end fate ("CO'' indicates collision with Mercury). Data from integration 5 for situation at t=4.54 Myr. Values of <a> are for the initial 75 kyr of the integration, unless otherwise indicated in the "Note'' column. Object 93r is the originally identified satellite.
Object $a_{\rm ini}$ $e_{\rm ini}$ <a> $t_{\rm orb}$ Sense Note
  (AU)   (AU) (yr)    
93r - - 0.000742 $\pm$ 0.000207 $2.46\times10^6$ R  
15-15r 0.000245 0 0.000245 $\pm$ 0.000034 > $4.54\times10^6$ R  
15-15p 0.000245 0 0.000247 $\pm$ 0.000030 > $4.54\times10^6$ P  
ibid     0.000244 $\pm$ 0.000002     1.81<t (Myr) < 4.54
30-15r 0.000367 0.333 0.000371 $\pm$ 0.000079 > $4.54\times10^6$ R  
30-15p 0.000367 0.333 0.000374 $\pm$ 0.000088 > $4.54\times10^6$ P  
45-15r 0.000490 0.500 0.000515 $\pm$ 0.000230 > $4.54\times10^6$ R  
45-15p 0.000490 0.500 0.000516 $\pm$ 0.000131 2420 P CO at 141 kyr
60-15r 0.000612 0.667 - 4.6 R CO at 1.29 Myr
30-30r 0.000490 0 0.000490 $\pm$ 0.000076 > $4.54\times10^6$ R  
ibid     0.000491 $\pm$ 0.000126     1.81<t (Myr) < 2.21
30-30p 0.000490 0 0.000478 $\pm$ 0.000018 > $4.54\times10^6$ P  
45-30r 0.000612 0.200 0.000634 $\pm$ 0.000188 $7.83\times10^5$ R CO at 3.04 Myr
ibid     0.000598 $\pm$ 0.000181     51.6<t (kyr) < 78.2
45-30p 0.000612 0.200 - 4.8 P CO at 92 years
60-30r 0.000736 0.333 - 52 R CO at 214 kyr
60-30p 0.000736 0.333 - 0.50 P CO at 2358 years
75-30r 0.000857 0.429 - 0.54 R  
45-45r 0.000736 0 - 56 R  
60-45r 0.000857 0.143 - 21 R CO at 3490 years
75-45r 0.000979 0.250 - 15 R CO at 16.6 kyr
60-60r 0.000979 0 - 3.4 R CO at 478 years
60-60p 0.000979 0 - 0.46 P CO at 200 kyr
75-60r 0.001102 0.111 - 1.7 R  
75-75r 0.001224 0 - >0.27, <1.29 R CO at 472 days


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