The following information shows the result of the orbit fit based on Gary Bernstein's method. Most of the information should be self-explanatory. Take special note that while the original Bernstein software works with barycentric coordinates, we convert these results into a heliocentric coordinate system.
# Object: 23RN167 # Created Sun Nov 24 02:11:15 2024 # Orbit generated from Bernstein formalism # Fitting 74 observations of 80 # Arc: 1.08y # First observation: 2023/09/08 # Last observation: 2024/10/07 Preliminary a, adot, b, bdot, g, gdot: 0.018322 -0.311033 0.015410 -0.362967 0.208030 0.000000 # Chi-squared of fit: 153.80 DOF: 142 RMS: 0.25 # Min/Max residuals: -0.77 0.74 # Exact a, adot, b, bdot, g, gdot: -2.315803E-05 -2.057943E-01 -2.916040E-05 -2.553634E-01 1.387074E-01 -2.719744E-01 # Covariance matrix: 1.6342E-13 -2.6572E-13 1.5177E-14 -1.3113E-13 6.1837E-14 3.2867E-13 -2.6572E-13 9.3762E-13 -1.0431E-13 8.6266E-13 -4.9716E-13 -2.1602E-12 1.5177E-14 -1.0431E-13 1.5630E-13 -2.6363E-13 7.1056E-14 2.9237E-13 -1.3113E-13 8.6266E-13 -2.6363E-13 1.1276E-12 -5.6160E-13 -2.4118E-12 6.1837E-14 -4.9716E-13 7.1056E-14 -5.6160E-13 3.8732E-13 1.4049E-12 3.2867E-13 -2.1602E-12 2.9237E-13 -2.4118E-12 1.4049E-12 6.0390E-12 # lat0 lon0 xBary yBary zBary JD0 33.107622 -2.163824 0.224572 0.532064 -0.816396 2460195.827501 # Heliocentric elements and errors Epoch: 2460190.5000 = 2023/09/03 Mean Anomaly: 359.19575 +/- 0.000 Argument of Peri: 218.58996 +/- 0.000 Long of Asc Node: 155.79253 +/- 0.000 Inclination: 121.67147 +/- 0.000 Eccentricity: 0.95030445 +/- 0.0000 Semi-Major Axis: 105.31939860 +/- 0.0415 Time of Perihelion: 2461072.4624 +/- 0.0 Perihelion: 5.23390528 +/- 0.0029 Aphelion: 205.40489193 +/- 0.0810 Period (y) 1080.8633 +/- 0.64 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 7.00851102 +/- 0.0000 Ecliptic Y -0.48734918 +/- 0.0000 Ecliptic Z 3.93773800 +/- 0.0000 Ecliptic XDOT -0.00189944 +/- 0.0000 Ecliptic YDOT -0.00398528 +/- 0.0000 Ecliptic ZDOT -0.00715434 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 8.05372687 +/- 0.0000 Geocenter to KBO 7.20942212 +/- 0.0000 # Hcoef: 13.05
The following table shows the complete astrometric record for 23RN167. The first three columns show the date of observation. The next six columns are RA and DEC. The next column (when provided) is the observed magnitude and filter. The next column is the object name (23RN167) followed by the observatory code and reference code for the source of the astrometry.
2023 09 08.326700 22 54 25.036 +29 14 45.65 22.2w 23RN167 F52 C~8AkW 2023 09 08.338130 22 54 24.602 +29 14 41.69 21.9w 23RN167 F52 C~8AkW 2023 09 08.349571 22 54 24.177 +29 14 37.65 22.0w 23RN167 F52 C~8AkW 2023 09 08.361068 22 54 23.753 +29 14 33.64 22.3w 23RN167 F52 C~8AkW 2023 09 15.325551 22 50 05.194 +28 31 27.73 22.3w 23RN167 F52 C~8AkW 2023 09 15.337723 22 50 04.707 +28 31 23.26 21.5w 23RN167 F52 C~8AkW 2023 09 15.350019 22 50 04.298 +28 31 18.30 21.9w 23RN167 F52 C~8AkW 2023 10 06.239932 22 38 04.715 +25 57 13.44 21.9w 23RN167 F52 C~8AkW 2023 10 06.252205 22 38 04.326 +25 57 07.32 21.9w 23RN167 F52 C~8AkW 2023 10 06.264453 22 38 03.950 +25 57 01.44 22.1w 23RN167 F52 C~8AkW 2024 07 09.534766 23 10 12.074 +11 33 37.67 21.7G 23RN167 F52 C~8AkW 2024 07 09.537385 23 10 12.007 +11 33 37.06 20.9G 23RN167 F52 C~8AkW 2024 07 09.545976 23 10 11.830 +11 33 35.23 21.5G 23RN167 F52 C~8AkW 2024 07 09.548592 23 10 11.773 +11 33 34.59 21.0G 23RN167 F52 C~8AkW 2024 07 09.557241 23 10 11.585 +11 33 32.59 22.1G 23RN167 F52 C~8AkW 2024 07 09.559861 23 10 11.526 +11 33 31.92 21.2G 23RN167 F52 C~8AkW 2024 07 09.568528 23 10 11.352 +11 33 29.48 21.5G 23RN167 F52 C~8AkW 2024 07 09.571147 23 10 11.307 +11 33 29.38 21.3G 23RN167 F52 C~8AkW 2024 08 01.435515 22 59 37.410 +09 38 45.49 21.2w 23RN167 F52 C~8AkW 2024 08 01.457769 22 59 36.638 +09 38 37.17 21.4w 23RN167 F52 C~8AkW 2024 08 01.468911 22 59 36.244 +09 38 32.69 21.4w 23RN167 F52 C~8AkW 2024 08 02.30144 22 59 07.462 +09 33 16.34 20.6R 23RN167 H36 B~8AkW 2024 08 02.309090 22 59 07.20 +09 33 13.5 21.6G 23RN167 H21 C~8AkW 2024 08 02.314868 22 59 06.99 +09 33 11.7 21.0G 23RN167 H21 C~8AkW 2024 08 02.32321 22 59 06.713 +09 33 08.42 20.7R 23RN167 H36 B~8AkW 2024 08 03.288212 22 58 32.90 +09 26 55.8 21.0G 23RN167 H21 C~8AkW 2024 08 03.299599 22 58 32.49 +09 26 51.2 21.6G 23RN167 H21 C~8AkW 2024 08 03.303014 22 58 32.36 +09 26 49.9 21.7G 23RN167 H21 C~8AkW 2024 08 03.548919 22 58 23.641 +09 25 14.53 21.2G 23RN167 T14 C~8AkW 2024 08 03.550127 22 58 23.597 +09 25 14.06 21.2G 23RN167 T14 C~8AkW 2024 08 03.551338 22 58 23.555 +09 25 13.58 21.2G 23RN167 T14 C~8AkW 2024 08 03.63309 22 58 20.71 +09 24 42.8 23RN167 Q62 C~8DsW 2024 08 03.64161 22 58 20.41 +09 24 39.9 20.8G 23RN167 Q62 C~8DsW 2024 08 04.269707 22 57 58.02 +09 20 30.8 21.5G 23RN167 H21 C~8AkW 2024 08 04.282104 22 57 57.59 +09 20 25.5 21.7G 23RN167 H21 C~8AkW 2024 08 05.320621 22 57 20.14 +09 13 31.2 21.3G 23RN167 H21 C~8AkW 2024 08 05.326399 22 57 19.94 +09 13 28.9 21.4G 23RN167 H21 C~8AkW 2024 08 06.074605 22 56 52.71 +09 08 25.9 23RN167 L01 C~8AkW 2024 08 06.078279 22 56 52.47 +09 08 25.2 20.9G 23RN167 L01 C~8AkW 2024 08 06.082434 22 56 52.36 +09 08 22.8 21.0G 23RN167 L01 C~8AkW 2024 08 06.320189 22 56 43.64 +09 06 45.3 21.3G 23RN167 H21 C~8AkW 2024 08 06.327296 22 56 43.37 +09 06 42.6 21.5G 23RN167 H21 C~8AkW 2024 08 06.336585 22 56 43.02 +09 06 38.6 21.4G 23RN167 H21 C~8AkW 2024 08 07.020979 22 56 17.75 +09 01 58.5 20.7G 23RN167 K91 C~8AkW 2024 08 07.023440 22 56 17.66 +09 01 58.1 20.7G 23RN167 K91 C~8AkW 2024 08 07.025890 22 56 17.59 +09 01 57.0 20.6G 23RN167 K91 C~8AkW 2024 08 07.028325 22 56 17.46 +09 01 55.5 20.7G 23RN167 K91 C~8AkW 2024 08 30.333310 22 40 17.684 +05 53 58.83 21.0G 23RN167 G37 C~8DsW 2024 08 30.359320 22 40 16.529 +05 53 44.61 23RN167 G37 C~8DsW 2024 09 02.66603 22 37 51.23 +05 23 20.5 20.7R 23RN167 D29 C~8DsW 2024 09 02.68017 22 37 50.53 +05 23 12.8 20.9R 23RN167 D29 C~8DsW 2024 09 02.69431 22 37 49.96 +05 23 05.1 21.3R 23RN167 D29 C~8DsW 2024 09 03.265582 22 37 24.769 +05 17 45.13 20.7G 23RN167 G96 C~8DsW 2024 09 03.271218 22 37 24.535 +05 17 42.18 21.0G 23RN167 G96 C~8DsW 2024 09 03.276869 22 37 24.265 +05 17 38.33 20.8G 23RN167 G96 C~8DsW 2024 09 03.282501 22 37 23.999 +05 17 35.52 21.0G 23RN167 G96 C~8DsW 2024 09 09.514940 22 32 49.99 +04 18 20.5 20.8R 23RN167 D29 C~8DsW 2024 09 09.529081 22 32 49.36 +04 18 12.3 20.8R 23RN167 D29 C~8DsW 2024 09 11.212590 22 31 35.846 +04 01 54.84 21.0G 23RN167 G96 C~8G1G 2024 09 11.217862 22 31 35.652 +04 01 50.45 21.2G 23RN167 G96 C~8G1G 2024 09 11.223117 22 31 35.414 +04 01 47.89 20.9G 23RN167 G96 C~8G1G 2024 09 11.368919 22 31 29.043 +04 00 23.05 21.0w 23RN167 F51 C~8G1G 2024 09 11.382072 22 31 28.470 +04 00 15.40 21.0w 23RN167 F51 C~8G1G 2024 09 11.403947 22 31 27.500 +04 00 02.59 20.9w 23RN167 F51 C~8G1G 2024 09 11.419637 22 31 26.805 +03 59 53.43 21.0w 23RN167 F51 C~8G1G 2024 09 22.667860 22 23 30.98 +02 09 04.6 20.5R 23RN167 D29 C~8Hee 2024 09 22.682001 22 23 30.34 +02 08 55.4 20.6R 23RN167 D29 C~8Hee 2024 09 24.144622 22 22 31.238 +01 54 25.88 21.0G 23RN167 G96 C~8Hee 2024 09 24.150343 22 22 31.076 +01 54 22.86 21.1G 23RN167 G96 C~8Hee 2024 09 24.157208 22 22 30.796 +01 54 18.14 21.4G 23RN167 G96 C~8Hee 2024 09 29.274718 22 19 10.301 +01 03 45.12 21.1w 23RN167 F52 C~8Hee 2024 09 29.285977 22 19 09.864 +01 03 38.54 21.1w 23RN167 F52 C~8Hee 2024 09 29.297294 22 19 09.428 +01 03 31.78 21.0w 23RN167 F52 C~8Hee 2024 09 29.308553 22 19 08.994 +01 03 25.13 21.0w 23RN167 F52 C~8Hee 2024 10 06.147856 22 15 00.058 -00 03 10.80 21.1G 23RN167 G96 C~8Hee 2024 10 06.158215 22 14 59.716 -00 03 18.18 21.5G 23RN167 G96 C~8Hee 2024 10 06.163385 22 14 59.514 -00 03 21.31 21.5G 23RN167 G96 C~8Hee 2024 10 07.288843 22 14 20.872 -00 14 08.30 21.3w 23RN167 F51 C~8Hee 2024 10 07.301711 22 14 20.438 -00 14 15.75 21.1w 23RN167 F51 C~8Hee 2024 10 07.314385 22 14 19.998 -00 14 23.03 21.1w 23RN167 F51 C~8Hee
The following table shows the residuals to the orbit fit. The first coumn is the point number. The second column is the time, in years, measured from the first observation. The third and fifth columns are the regularized positions used in the orbit fit. The fourth and sixth columns are the residuals, in arc seconds, for RA and Dec respectively.
1 0.0000 0.00 -0.06 0.00 0.01
2 0.0000 -6.86 -0.08 -0.94 0.04
3 0.0001 -13.65 -0.02 -2.00 -0.05
4 0.0001 -20.42 0.10 -3.04 -0.12
5 0.0192 -4225.53 0.00 -738.71 -0.08
6 0.0192 -4233.29 -0.25 -739.69 0.37
7 0.0192 -4240.37 0.26 -741.59 -0.08
8 0.0764 -17114.09 0.08 -4337.70 0.12
9 0.0765 -17121.70 -0.04 -4340.53 -0.05
10 0.0765 -17129.04 0.10 -4343.23 -0.10
11 0.8356 -16892.95 -0.08 -65118.15 -0.15
12 0.8356 -16894.17 -0.24 -65118.30 -0.09
13 0.8356 -16897.49 -0.11 -65118.92 -0.00
14 0.8357 -16898.58 -0.15 -65119.17 -0.04
15 0.8357 -16902.13 -0.22 -65119.88 -0.04
16 0.8357 -16903.26 -0.30 -65120.14 -0.09
17 0.8357 -16906.83 -0.38 -65121.39 -0.63
18 0.8357 -16907.50 0.00 -65121.18 -0.20
19 0.8983 -29089.92 -0.12 -67608.79 -0.08
20 0.8984 -29104.91 -0.05 -67611.70 -0.06
21 0.8984 -29112.68 -0.27 -67613.43 -0.32
22 0.9007 -29675.18 -0.22 -67728.25 -0.13
23 0.9007 -29680.28 0.08 -67729.26 -0.17
24 0.9007 -29684.13 0.20 -67729.58 0.29
25 0.9007 -29689.67 0.24 -67730.92 0.14
26 0.9034 -30351.90 -0.03 -67866.62 -0.07
27 0.9034 -30359.98 -0.16 -67868.35 -0.23
28 0.9034 -30362.46 -0.25 -67868.74 -0.14
29 0.9041 -30533.03 0.10 -67902.97 0.15
30 0.9041 -30533.88 0.10 -67903.14 0.16
31 0.9041 -30534.71 0.12 -67903.32 0.14
32 0.9043 -30590.21 0.22 -67914.15 -0.01
33 0.9044 -30595.89 0.54 -67914.94 0.38
34 0.9061 -31036.39 0.01 -68007.04 0.45
35 0.9061 -31045.11 0.08 -68009.33 -0.09
36 0.9089 -31781.71 0.07 -68160.82 0.20
37 0.9090 -31785.69 0.26 -68161.72 0.13
38 0.9110 -32322.97 ( 1.39) -68273.53 ( -0.12)
39 0.9110 -32326.70 ( 0.34) -68272.52 ( 1.43)
40 0.9110 -32329.47 0.60 -68274.16 0.40
41 0.9117 -32501.91 0.14 -68310.41 -0.04
42 0.9117 -32507.09 0.17 -68311.21 0.21
43 0.9117 -32514.06 0.02 -68312.76 0.04
44 0.9136 -33012.92 -0.10 -68415.28 -0.17
45 0.9136 -33014.40 0.25 -68415.04 0.44
46 0.9136 -33015.95 0.52 -68415.65 0.19
47 0.9136 -33018.54 -0.27 -68416.24 -0.03
48 0.9774 -52809.69 0.02 -72931.36 0.12
49 0.9775 -52834.55 -0.01 -72937.48 0.08
50 0.9866 -55997.81 ( 1.01) -73744.81 ( -0.38)
51 0.9866 -56012.49 0.12 -73747.56 0.34
52 0.9866 -56025.28 ( 1.12) -73751.31 ( 0.08)
53 0.9882 -56579.13 -0.03 -73895.51 0.03
54 0.9882 -56584.26 0.34 -73896.82 0.11
55 0.9882 -56590.45 -0.32 -73898.81 -0.47
56 0.9882 -56595.97 -0.33 -73899.74 0.00
57 1.0053 -62730.71 -0.35 -75555.77 -0.05
58 1.0053 -62744.97 -0.44 -75559.62 -0.03
59 1.0100 -64426.96 ( 0.22) -76032.48 ( 1.01)
60 1.0100 -64432.52 -0.02 -76035.66 -0.69
61 1.0100 -64437.61 0.20 -76036.55 -0.11
62 1.0104 -64583.92 -0.09 -76077.75 -0.11
63 1.0104 -64597.10 0.04 -76081.48 -0.15
64 1.0105 -64619.32 -0.05 -76087.64 -0.17
65 1.0105 -64635.22 -0.09 -76092.03 -0.15
66 1.0413 -75987.64 0.74 -79555.42 0.51
67 1.0414 -76003.41 -0.64 -79560.44 0.10
68 1.0454 -77476.17 -0.77 -80046.94 0.43
69 1.0454 -77480.64 0.56 -80048.98 0.29
70 1.0454 -77488.03 0.13 -80051.95 -0.41
71 1.0594 -82604.80 -0.20 -81814.03 -0.02
72 1.0594 -82616.04 -0.18 -81817.87 0.06
73 1.0595 -82627.40 -0.21 -81821.93 -0.04
74 1.0595 -82638.65 -0.18 -81825.87 -0.06
75 1.0782 -89304.90 ( 1.13) -84323.90 ( 1.26)
76 1.0783 -89315.52 0.49 -84329.53 -0.52
77 1.0783 -89320.93 0.07 -84331.45 -0.52
78 1.0813 -90391.64 0.02 -84755.92 0.38
79 1.0814 -90403.83 0.16 -84760.90 0.22
80 1.0814 -90415.99 0.14 -84765.65 0.22
The following table comes from a 10My integration of the orbit of the object. Three columns are shown. The first column is the result of integrating the nominal orbit. The other two columns are based on clones of the nominal orbit that are +/- 3 sigma from the nominal orbit. If all three types agree then the classificiation is deemed secure. The basis for these calculations is described in more detail in AJ, 129, 1117 (2005). Any use made of these calculations should refer to and credit this publication and the Deep Ecliptic Survey Team.