Table 3: Orbital parameters in the short-term hermeocentric integration. Columns are, from left: Object designation; initial hermeocentric a ( $a_{\rm ini}$ ) and e ( $e_{\rm ini}$ ); average a and e during hermeocentric orbit, with extreme ranges; average orbital period; minimal and maximal periods (relative to initial M of hermeocentric orbit); duration of hermeocentric orbit (<P>); number of revolutions relative to initial M of hermeocentric orbit ( $N_{\rm orb}$ ); rotational sense (prograde/retrograde); mean anomaly of Mercury at time of escape from hermeocentric orbit ( $L_{\rm esc}$ ); identity of Lagrangian point traversed at escape from hermeocentric orbit ( $T_{\rm CO}$ ); and time of collision with Mercury. Data from integration 5 (100 day duration). Object 93r is the originally identified satellite. For object 75-75p, close approaches with Venus are initiated after 1.78 Myr.
Object $a_{\rm ini}$ $e_{\rm ini}$ <a> <e> <P> $P_{\rm min}$ $P_{\rm max}$ $t_{\rm orb}$ $T_{Q_{\rm max}}$ $T_{q_{\rm min}}$ $N_{\rm orb}$ Sense $M_{\rm esc}$ $L_{\rm esc}$ $T_{\rm CO}$

(10^-3 AU) (10^-3 AU) (d) (d) (d) (d) (d) (d) ( $\hbox{$^\circ$ }$ )

93r - - 0.704 $\pm$ 0.041 0.412 $\pm$ 0.064 13.86 13.0 14.8 >100 - - - R - -

93p - - 0.673 $\pm$ 0.057 0.488 $\pm$ 0.144 19.95 17.80 22.6 97.6 91.8 17.6 4 P 49.34 2 17 578

15-15r 0.245 0 0.244 $\pm$ 0.000 0.005 $\pm$ 0.001 3.29 3.2 3.4 >100 - - - R - - -

15-15p 0.245 0 0.244 $\pm$ 0.001 0.004 $\pm$ 0.002 3.57 3.4 3.8 >100 - - - P - - -

30-15r 0.367 0.333 0.369 $\pm$ 0.007 0.385 $\pm$ 0.038 5.89 5.6 6.2 >100 - - - R - - -

30-15p 0.367 0.333 0.368 $\pm$ 0.005 0.226 $\pm$ 0.050 6.84 6.6 7.2 >100 - - - P - - -

45-15r 0.735 0.500 0.501 $\pm$ 0.018 0.573 $\pm$ 0.056 8.85 8.2 9.8 >100 - - - R - - -

45-15p 0.735 0.500 0.505 $\pm$ 0.026 0.250 $\pm$ 0.085 11.63 11.0 12.4 >100 - - - P - - -

60-15r 0.612 0.600 0.656 $\pm$ 0.034 0.656 $\pm$ 0.095 12.4 10.2 14.8 >100 - - - R - - -

60-15p 0.612 0.600 0.738 $\pm$ 0.193 0.273 $\pm$ 0.141 20.47 18.4 23.4 90.2 24.2 66.8 3 P 19.06 1 964

75-15r 0.735 0.667 0.872 $\pm$ 0.000 0.874 $\pm$ 0.000 19.50 17.4 21.6 34.8 22.0 12.4 2 R 152.34 1 1007

75-15p 0.735 0.667 - - - - - - - 20.2 0 P 93.41 2 406 817

30-30r 0.490 0 0.482 $\pm$ 0.007 0.043 $\pm$ 0.012 8.56 8.2 9.0 >100 - - - R - - -

30-30p 0.490 0 0.476 $\pm$ 0.014 0.034 $\pm$ 0.025 10.51 9.8 11.4 >100 - - - P - - -

45-30r 0.612 0.200 0.602 $\pm$ 0.013 0.260 $\pm$ 0.053 11.43 10.8 11.8 >100 - - - R - - -

45-30p 0.612 0.200 0.591 $\pm$ 0.022 0.054 $\pm$ 0.079 15.30 14.0 16.4 >100 - - - P - - -

60-30r 0.735 0.333 0.725 $\pm$ 0.028 0.486 $\pm$ 0.029 14.33 13.2 16.2 >100 - - - R - - -

60-30p 0.735 0.333 0.703 $\pm$ 0.030 0.089 $\pm$ 0.200 20.80 19.4 22.2 >100 - - - P - - -

75-30r 0.857 0.429 0.924 $\pm$ 0.272 0.503 $\pm$ 0.289 19.08 15.4 23.0 >100 - - - R - - -

75-30p 0.857 0.429 0.842 $\pm$ 0.065 0.091 $\pm$ 0.130 27.33 25.4 29.4 88.6 67.6 22.0 3 P 12.51 1 -

45-45r 0.735 0 0.702 $\pm$ 0.016 0.155 $\pm$ 0.096 14.03 12.6 15.2 >100 - - - R - - -

45-45p 0.735 0 0.631 $\pm$ 0.031 0.347 $\pm$ 0.116 17.95 16.8 20.8 91.0 86.4 19.0 4 P 22.33 2 7155

60-45r 0.857 0.143 0.804 $\pm$ 0.038 0.083 $\pm$ 0.057 16.80 15.8 17.6 >100 - - - R - - -

60-45p 0.857 0.143 0.714 $\pm$ 0.074 0.487 $\pm$ 0.153 22.87 19.0 26.0 85.4 78.8 49.8 3 P 359.42 2 86 781

75-45r 0.979 0.250 0.934 $\pm$ 0.053 0.360 $\pm$ 0.074 19.20 17.4 21.0 >100 - - - R - - -

75-45p 0.979 0.250 0.833 $\pm$ 0.132 0.492 $\pm$ 0.124 31.20 24.4 38.0 84.6 76.8 69.6 2 P 356.14 2 436 494

60-60r 0.979 0 0.878 $\pm$ 0.027 0.323 $\pm$ 0.138 19.16 16.4 21.8 >100 - - - R - - -

60-60p 0.979 0 0.739 $\pm$ 0.113 0.677 $\pm$ 0.157 18.68 14.6 24.8 >100 - - - P - - -

75-60r 1.102 0.111 0.982 $\pm$ 0.017 0.174 $\pm$ 0.271 22.05 19.4 23.6 >100 - - - R - - -

75-60p 1.102 0.111 - - - - - 17.2 0 P 81.14 1 23 902

75-75r 1.224 0 1.037 $\pm$ 0.033 0.521 $\pm$ 0.144 23.65 18.4 29.2 >100 - - - R - - -

75-75p 1.224 0 - - - 5.5 - 9.8 0 P 50.85 1

**Table 3:** Orbital parameters in the short-term hermeocentric integration. Columns are, from left: Object designation; initial hermeocentric a ( $a_{\rm ini}$ ) and e ( $e_{\rm ini}$ ); average a and e during hermeocentric orbit, with extreme ranges; average orbital period; minimal and maximal periods (relative to initial M of hermeocentric orbit); duration of hermeocentric orbit (<P>); number of revolutions relative to initial M of hermeocentric orbit ( $N_{\rm orb}$ ); rotational sense (prograde/retrograde); mean anomaly of Mercury at time of escape from hermeocentric orbit ( $L_{\rm esc}$ ); identity of Lagrangian point traversed at escape from hermeocentric orbit ( $T_{\rm CO}$ ); and time of collision with Mercury. Data from integration 5 (100 day duration). Object 93r is the originally identified satellite. For object 75-75p, close approaches with Venus are initiated after 1.78 Myr.
Object	$a_{\rm ini}$	$e_{\rm ini}$	<a>	<e>	<P>	$P_{\rm min}$	$P_{\rm max}$	$t_{\rm orb}$	$T_{Q_{\rm max}}$	$T_{q_{\rm min}}$	$N_{\rm orb}$	Sense	$M_{\rm esc}$	$L_{\rm esc}$	$T_{\rm CO}$
	(10^-3 AU)		(10^-3 AU)		(d)	(d)	(d)	(d)	(d)	(d)			( $\hbox{$^\circ$ }$ )
93r	-	-	0.704 $\pm$ 0.041	0.412 $\pm$ 0.064	13.86	13.0	14.8	>100	-	-	-	R	-	-
93p	-	-	0.673 $\pm$ 0.057	0.488 $\pm$ 0.144	19.95	17.80	22.6	97.6	91.8	17.6	4	P	49.34	2	17 578
15-15r	0.245	0	0.244 $\pm$ 0.000	0.005 $\pm$ 0.001	3.29	3.2	3.4	>100	-	-	-	R	-	-	-
15-15p	0.245	0	0.244 $\pm$ 0.001	0.004 $\pm$ 0.002	3.57	3.4	3.8	>100	-	-	-	P	-	-	-
30-15r	0.367	0.333	0.369 $\pm$ 0.007	0.385 $\pm$ 0.038	5.89	5.6	6.2	>100	-	-	-	R	-	-	-
30-15p	0.367	0.333	0.368 $\pm$ 0.005	0.226 $\pm$ 0.050	6.84	6.6	7.2	>100	-	-	-	P	-	-	-
45-15r	0.735	0.500	0.501 $\pm$ 0.018	0.573 $\pm$ 0.056	8.85	8.2	9.8	>100	-	-	-	R	-	-	-
45-15p	0.735	0.500	0.505 $\pm$ 0.026	0.250 $\pm$ 0.085	11.63	11.0	12.4	>100	-	-	-	P	-	-	-
60-15r	0.612	0.600	0.656 $\pm$ 0.034	0.656 $\pm$ 0.095	12.4	10.2	14.8	>100	-	-	-	R	-	-	-
60-15p	0.612	0.600	0.738 $\pm$ 0.193	0.273 $\pm$ 0.141	20.47	18.4	23.4	90.2	24.2	66.8	3	P	19.06	1	964
75-15r	0.735	0.667	0.872 $\pm$ 0.000	0.874 $\pm$ 0.000	19.50	17.4	21.6	34.8	22.0	12.4	2	R	152.34	1	1007
75-15p	0.735	0.667	-	-	-	-	-	-	-	20.2	0	P	93.41	2	406 817
30-30r	0.490	0	0.482 $\pm$ 0.007	0.043 $\pm$ 0.012	8.56	8.2	9.0	>100	-	-	-	R	-	-	-
30-30p	0.490	0	0.476 $\pm$ 0.014	0.034 $\pm$ 0.025	10.51	9.8	11.4	>100	-	-	-	P	-	-	-
45-30r	0.612	0.200	0.602 $\pm$ 0.013	0.260 $\pm$ 0.053	11.43	10.8	11.8	>100	-	-	-	R	-	-	-
45-30p	0.612	0.200	0.591 $\pm$ 0.022	0.054 $\pm$ 0.079	15.30	14.0	16.4	>100	-	-	-	P	-	-	-
60-30r	0.735	0.333	0.725 $\pm$ 0.028	0.486 $\pm$ 0.029	14.33	13.2	16.2	>100	-	-	-	R	-	-	-
60-30p	0.735	0.333	0.703 $\pm$ 0.030	0.089 $\pm$ 0.200	20.80	19.4	22.2	>100	-	-	-	P	-	-	-
75-30r	0.857	0.429	0.924 $\pm$ 0.272	0.503 $\pm$ 0.289	19.08	15.4	23.0	>100	-	-	-	R	-	-	-
75-30p	0.857	0.429	0.842 $\pm$ 0.065	0.091 $\pm$ 0.130	27.33	25.4	29.4	88.6	67.6	22.0	3	P	12.51	1	-
45-45r	0.735	0	0.702 $\pm$ 0.016	0.155 $\pm$ 0.096	14.03	12.6	15.2	>100	-	-	-	R	-	-	-
45-45p	0.735	0	0.631 $\pm$ 0.031	0.347 $\pm$ 0.116	17.95	16.8	20.8	91.0	86.4	19.0	4	P	22.33	2	7155
60-45r	0.857	0.143	0.804 $\pm$ 0.038	0.083 $\pm$ 0.057	16.80	15.8	17.6	>100	-	-	-	R	-	-	-
60-45p	0.857	0.143	0.714 $\pm$ 0.074	0.487 $\pm$ 0.153	22.87	19.0	26.0	85.4	78.8	49.8	3	P	359.42	2	86 781
75-45r	0.979	0.250	0.934 $\pm$ 0.053	0.360 $\pm$ 0.074	19.20	17.4	21.0	>100	-	-	-	R	-	-	-
75-45p	0.979	0.250	0.833 $\pm$ 0.132	0.492 $\pm$ 0.124	31.20	24.4	38.0	84.6	76.8	69.6	2	P	356.14	2	436 494
60-60r	0.979	0	0.878 $\pm$ 0.027	0.323 $\pm$ 0.138	19.16	16.4	21.8	>100	-	-	-	R	-	-	-
60-60p	0.979	0	0.739 $\pm$ 0.113	0.677 $\pm$ 0.157	18.68	14.6	24.8	>100	-	-	-	P	-	-	-
75-60r	1.102	0.111	0.982 $\pm$ 0.017	0.174 $\pm$ 0.271	22.05	19.4	23.6	>100	-	-	-	R	-	-	-
75-60p	1.102	0.111	-	-	-	-	-	17.2	0	P	81.14	1	23 902
75-75r	1.224	0	1.037 $\pm$ 0.033	0.521 $\pm$ 0.144	23.65	18.4	29.2	>100	-	-	-	R	-	-	-
75-75p	1.224	0	-	-	-	5.5	-	9.8	0	P	50.85	1

Source LaTeX | All tables | In the text