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: 13NM24 # Created Fri Nov 22 02:09:27 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 80 observations of 80 # Arc: 10.13y # First observation: 2011/07/27 # Last observation: 2021/09/12 # Chi-squared of fit: 64.91 DOF: 154 RMS: 0.16 # Min/Max residuals: -0.64 0.43 # Exact a, adot, b, bdot, g, gdot: 1.226610E-05 1.795257E-02 7.124610E-06 1.017423E-02 2.250311E-02 -3.336531E-03 # Covariance matrix: 1.1282E-13 -3.8865E-14 2.5868E-14 -1.5838E-14 2.6869E-15 -1.6793E-13 -3.8865E-14 1.9833E-14 -1.6433E-14 1.0014E-14 6.9892E-15 1.0627E-13 2.5868E-14 -1.6433E-14 8.9249E-14 -2.4191E-14 -2.9266E-15 -1.0894E-13 -1.5838E-14 1.0014E-14 -2.4191E-14 9.8530E-15 1.3076E-15 6.6556E-14 2.6869E-15 6.9892E-15 -2.9266E-15 1.3076E-15 8.8439E-14 1.4808E-14 -1.6793E-13 1.0627E-13 -1.0894E-13 6.6556E-14 1.4808E-14 7.0595E-13 # lat0 lon0 xBary yBary zBary JD0 -9.274572 -39.940558 0.284771 -0.156894 -0.960416 2455769.971146 # Heliocentric elements and errors Epoch: 2455770.5000 = 2011/07/28 Mean Anomaly: 277.53355 +/- 0.020 Argument of Peri: 83.45604 +/- 0.013 Long of Asc Node: 335.28001 +/- 0.000 Inclination: 30.74104 +/- 0.000 Eccentricity: 0.16541850 +/- 0.0000 Semi-Major Axis: 45.14951348 +/- 0.0023 Time of Perihelion: 2481154.0780 +/- 9.0 Perihelion: 37.68094867 +/- 0.0026 Aphelion: 52.61807828 +/- 0.0032 Period (y) 303.3806 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.19342074 +/- 0.0004 Ecliptic Y -28.99829158 +/- 0.0004 Ecliptic Z -7.16157763 +/- 0.0001 Ecliptic XDOT 0.00124519 +/- 0.0000 Ecliptic YDOT 0.00180936 +/- 0.0000 Ecliptic ZDOT 0.00128715 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 45.40252097 +/- 0.0004 Geocenter to KBO 44.43843534 +/- 0.0006 # Hcoef: 6.21
The following table shows the complete astrometric record for 13NM24. 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 (13NM24) followed by the observatory code and reference code for the source of the astrometry.
2011 07 27.47038 21 42 35.222 -23 34 18.57 22.7w 13NM24 F51 C~1w3u 2011 07 27.48507 21 42 35.131 -23 34 18.73 23.1w 13NM24 F51 C~1w3u 2011 07 27.49976 21 42 35.099 -23 34 19.36 22.7w 13NM24 F51 C~1w3u 2011 07 27.51447 21 42 35.036 -23 34 19.44 22.9w 13NM24 F51 C~1w3u 2011 08 19.45837 21 40 45.415 -23 41 13.06 21.8i 13NM24 F51 C~1w3u 2011 08 30.41424 21 39 52.807 -23 43 47.40 22.9w 13NM24 F51 C~1w3u 2011 08 30.44372 21 39 52.680 -23 43 48.05 23.1w 13NM24 F51 C~1w3u 2012 08 21.38163 21 43 55.858 -22 48 13.42 22.1w 13NM24 F51 C~1w3u 2012 08 21.39546 21 43 55.803 -22 48 13.68 22.0w 13NM24 F51 C~1w3u 2012 08 21.40960 21 43 55.730 -22 48 14.00 22.4w 13NM24 F51 C~1w3u 2012 11 02.24010 21 40 00.864 -22 49 51.96 22.8G 13NM24 F51 C~2r7P 2013 07 14.51185 21 50 11.363 -21 41 58.84 22.8w 13NM24 F51 C~1w3u 2013 07 14.52730 21 50 11.309 -21 41 59.35 22.5w 13NM24 F51 C~1w3u 2013 07 14.54365 21 50 11.225 -21 41 59.63 22.6w 13NM24 F51 C~1w3u 2013 08 24.43957 21 47 04.139 -21 54 40.26 23.1G 13NM24 F51 C~2r7P 2013 08 29.36229 21 46 40.690 -21 55 52.97 22.5w 13NM24 F51 C~1w3u 2013 08 29.37612 21 46 40.609 -21 55 53.13 22.5w 13NM24 F51 C~1w3u 2013 08 29.38994 21 46 40.552 -21 55 53.36 22.6w 13NM24 F51 C~1w3u 2013 08 29.40375 21 46 40.476 -21 55 53.58 22.4w 13NM24 F51 C~1w3u 2013 08 31.38564 21 46 31.195 -21 56 20.96 22.8G 13NM24 F51 C~2r7P 2014 06 27.51939 21 54 28.102 -20 41 52.51 22.6G 13NM24 F51 C~2r7P 2014 06 27.53108 21 54 28.071 -20 41 53.08 22.5G 13NM24 F51 C~2r7P 2014 06 27.54277 21 54 28.051 -20 41 52.96 22.4G 13NM24 F51 C~2r7P 2014 06 27.55443 21 54 27.999 -20 41 53.36 23.1G 13NM24 F51 C~2r7P 2014 07 03.55938 21 54 09.984 -20 43 34.04 22.3G 13NM24 F51 C~2r7P 2014 07 03.57062 21 54 09.933 -20 43 34.70 23.2G 13NM24 F51 C~2r7P 2014 07 03.58182 21 54 09.898 -20 43 34.67 22.5G 13NM24 F51 C~2r7P 2014 07 03.59304 21 54 09.864 -20 43 34.90 23.1G 13NM24 F51 C~2r7P 2014 07 25.48043 21 52 46.113 -20 50 28.45 22.6G 13NM24 F51 C~2r7P 2014 07 25.49167 21 52 46.062 -20 50 28.55 23.0G 13NM24 F51 C~2r7P 2014 07 25.50293 21 52 46.014 -20 50 28.80 22.8G 13NM24 F51 C~2r7P 2014 07 25.51416 21 52 45.968 -20 50 29.12 22.8G 13NM24 F51 C~2r7P 2014 08 01.50220 21 52 14.708 -20 52 46.07 22.9G 13NM24 F51 C~2r7P 2014 08 14.44225 21 51 13.751 -20 56 51.36 22.5G 13NM24 F51 C~2r7P 2014 08 15.44486 21 51 08.936 -20 57 09.29 22.6G 13NM24 F51 C~2r7P 2014 08 25.41628 21 50 20.958 -20 59 58.73 22.2G 13NM24 F51 C~2r7P 2014 08 25.42685 21 50 20.912 -20 59 59.05 22.7G 13NM24 F51 C~2r7Q 2014 08 25.43742 21 50 20.872 -20 59 59.16 22.9G 13NM24 F51 C~2r7Q 2014 08 25.44802 21 50 20.815 -20 59 59.43 22.9G 13NM24 F51 C~2r7Q 2014 09 11.35351 21 49 02.816 -21 03 46.21 23.2G 13NM24 F51 C~2r7Q 2014 09 29.34575 21 47 51.722 -21 05 54.57 21.8G 13NM24 F51 C~2r7Q 2015 06 17.57121 21 58 08.585 -19 44 03.96 22.5G 13NM24 F51 C~2r7Q 2015 06 20.54950 21 58 02.427 -19 44 42.32 22.6G 13NM24 F51 C~2r7Q 2015 07 18.52240 21 56 34.284 -19 52 30.09 22.8G 13NM24 F51 C~2r7Q 2015 09 06.36262 21 52 45.388 -20 07 22.41 21.9G 13NM24 F51 C~2r7Q 2015 09 08.46207 21 52 35.860 -20 07 49.45 22.1G 13NM24 F51 C~2r7Q 2016 07 05.52288 22 00 35.406 -18 52 37.87 22.9G 13NM24 F51 C~2r7Q 2016 07 05.54346 22 00 35.330 -18 52 38.39 22.6G 13NM24 F51 C~2r7Q 2016 07 05.55375 22 00 35.312 -18 52 38.54 21.8G 13NM24 F51 C~2r7Q 2016 07 08.53159 22 00 25.407 -18 53 29.42 22.6G 13NM24 F51 C~2r7Q 2016 08 02.46677 21 58 44.499 -19 01 19.75 22.3G 13NM24 F51 C~2r7Q 2016 08 02.47865 21 58 44.449 -19 01 19.90 23.0G 13NM24 F51 C~2r7Q 2016 08 02.49053 21 58 44.387 -19 01 20.31 22.6G 13NM24 F51 C~2r7Q 2016 08 02.50238 21 58 44.350 -19 01 20.44 22.7G 13NM24 F51 C~2r7Q 2016 08 08.46177 21 58 16.827 -19 03 16.12 22.4G 13NM24 F51 C~2r7Q 2016 08 08.47245 21 58 16.775 -19 03 16.50 22.7G 13NM24 F51 C~2r7Q 2016 08 08.48317 21 58 16.732 -19 03 16.56 22.4G 13NM24 F51 C~2r7Q 2016 08 08.49390 21 58 16.666 -19 03 17.04 22.6G 13NM24 F51 C~2r7Q 2016 08 11.49832 21 58 02.535 -19 04 14.44 22.6G 13NM24 F51 C~2r7Q 2016 09 08.41741 21 55 50.989 -19 11 58.62 22.5G 13NM24 F51 C~2r7Q 2016 09 30.39046 21 54 22.580 -19 15 22.11 22.3G 13NM24 F51 C~2r7Q 2016 09 30.40205 21 54 22.526 -19 15 22.36 21.8G 13NM24 F51 C~2r7Q 2017 07 04.55045 22 03 54.876 -17 55 34.39 22.8G 13NM24 F51 C~2r7Q 2017 07 04.56205 22 03 54.850 -17 55 34.35 22.8G 13NM24 F51 C~2r7Q 2017 07 04.57368 22 03 54.814 -17 55 34.74 22.3G 13NM24 F51 C~2r7Q 2017 07 25.48728 22 02 37.609 -18 01 46.07 22.4G 13NM24 F51 C~2r7Q 2017 08 18.41188 22 00 48.462 -18 09 27.27 22.9G 13NM24 F51 C~2r7Q 2017 08 30.33120 21 59 51.750 -18 12 56.84 22.5G 13NM24 F51 C~2r7Q 2017 09 15.32638 21 58 39.464 -18 16 46.10 22.5G 13NM24 F51 C~2r7Q 2017 09 15.33739 21 58 39.420 -18 16 46.23 22.6G 13NM24 F51 C~2r7Q 2017 09 15.35940 21 58 39.334 -18 16 46.47 22.7G 13NM24 F51 C~2r7Q 2017 09 16.37353 21 58 35.023 -18 16 58.34 22.5G 13NM24 F51 C~2r7Q 2017 09 23.34199 21 58 06.676 -18 18 10.07 22.0G 13NM24 F51 C~2r7Q 2017 09 23.35297 21 58 06.616 -18 18 10.01 22.8G 13NM24 F51 C~2r7Q 2017 09 23.36396 21 58 06.585 -18 18 10.27 23.3G 13NM24 F51 C~2r7Q 2017 09 23.37494 21 58 06.531 -18 18 10.09 22.2G 13NM24 F51 C~2r7Q 2017 12 12.22452 21 56 58.765 -18 05 53.62 22.8G 13NM24 F51 C~2r7Q 2021 09 12.144900 22 12 01.068 -14 23 11.08 22.5G 13NM24 G37 C~55NG 2021 09 12.202800 22 12 00.798 -14 23 12.17 13NM24 G37 C~55NG 2021 09 12.259630 22 12 00.557 -14 23 12.96 13NM24 G37 C~55NG
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 0.07 0.00 0.03
2 0.0000 0.00 -0.27 0.00 0.16
3 0.0001 0.00 0.27 0.00 -0.18
4 0.0001 0.00 0.35 0.00 0.02
5 0.0629 0.00 -0.21 0.00 -0.28
6 0.0929 0.00 -0.19 0.00 0.17
7 0.0930 0.00 0.03 0.00 -0.12
8 1.0703 0.00 -0.17 0.00 0.06
9 1.0703 0.00 0.03 0.00 0.02
10 1.0703 0.00 -0.03 0.00 -0.08
11 1.2697 0.00 0.09 0.00 0.02
12 1.9659 0.00 0.14 0.00 0.21
13 1.9659 0.00 0.26 0.00 0.00
14 1.9660 0.00 -0.02 0.00 0.04
15 2.0779 0.00 0.11 0.00 0.07
16 2.0914 0.00 -0.01 0.00 0.14
17 2.0915 0.00 -0.23 0.00 0.17
18 2.0915 0.00 -0.09 0.00 0.14
19 2.0915 0.00 -0.23 0.00 0.11
20 2.0970 0.00 0.35 0.00 0.03
21 2.9187 0.00 -0.12 0.00 0.08
22 2.9187 0.00 -0.08 0.00 -0.30
23 2.9187 0.00 0.13 0.00 0.01
24 2.9188 0.00 -0.15 0.00 -0.20
25 2.9352 0.00 0.22 0.00 0.19
26 2.9353 0.00 0.01 0.00 -0.28
27 2.9353 0.00 0.04 0.00 -0.05
28 2.9353 0.00 0.08 0.00 -0.09
29 2.9952 0.00 0.07 0.00 -0.16
30 2.9953 0.00 0.06 0.00 -0.04
31 2.9953 0.00 0.09 0.00 -0.07
32 2.9953 0.00 0.14 0.00 -0.16
33 3.0145 0.00 -0.00 0.00 0.13
34 3.0499 0.00 0.10 0.00 -0.12
35 3.0526 0.00 0.14 0.00 0.05
36 3.0799 0.00 -0.03 0.00 0.08
37 3.0800 0.00 0.05 0.00 -0.08
38 3.0800 0.00 0.22 0.00 -0.02
39 3.0800 0.00 0.14 0.00 -0.12
40 3.1263 0.00 -0.13 0.00 0.01
41 3.1756 0.00 -0.24 0.00 -0.10
42 3.8908 0.00 -0.03 0.00 -0.01
43 3.8989 0.00 -0.09 0.00 0.10
44 3.9755 0.00 -0.60 0.00 0.26
45 4.1120 0.00 0.07 0.00 0.06
46 4.1177 0.00 -0.17 0.00 0.22
47 4.9420 0.00 -0.12 0.00 0.14
48 4.9420 0.00 -0.23 0.00 -0.03
49 4.9420 0.00 0.01 0.00 -0.01
50 4.9502 0.00 -0.01 0.00 -0.17
51 5.0185 0.00 -0.01 0.00 -0.07
52 5.0185 0.00 0.07 0.00 0.01
53 5.0185 0.00 -0.04 0.00 -0.17
54 5.0186 0.00 0.23 0.00 -0.06
55 5.0349 0.00 0.06 0.00 0.13
56 5.0349 0.00 0.05 0.00 -0.05
57 5.0349 0.00 0.17 0.00 0.10
58 5.0350 0.00 -0.05 0.00 -0.17
59 5.0432 0.00 0.08 0.00 -0.01
60 5.1196 0.00 -0.05 0.00 0.08
61 5.1798 0.00 -0.44 0.00 0.37
62 5.1798 0.00 -0.64 0.00 0.18
63 5.9386 0.00 -0.19 0.00 -0.17
64 5.9386 0.00 -0.03 0.00 0.05
65 5.9387 0.00 -0.02 0.00 -0.15
66 5.9959 0.00 0.16 0.00 -0.10
67 6.0614 0.00 0.43 0.00 -0.02
68 6.0941 0.00 0.18 0.00 0.23
69 6.1379 0.00 -0.04 0.00 -0.04
70 6.1379 0.00 0.02 0.00 -0.04
71 6.1380 0.00 0.17 0.00 -0.02
72 6.1407 0.00 0.11 0.00 -0.00
73 6.1598 0.00 0.22 0.00 -0.06
74 6.1598 0.00 -0.03 0.00 0.10
75 6.1599 0.00 0.17 0.00 -0.07
76 6.1599 0.00 0.01 0.00 0.21
77 6.3785 0.00 -0.02 0.00 -0.19
78 10.1292 0.00 -0.01 0.00 0.05
79 10.1293 0.00 -0.14 0.00 -0.10
80 10.1295 0.00 0.10 0.00 0.03
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.
13NM24 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.073 45.073 45.073 ecceobj 0.166 0.166 0.166 incobj 30.738 30.738 30.738 qmin 36.696 36.657 36.505 qmax 53.803 54.030 54.272 amean 45.092 45.114 45.100 amin 44.694 44.701 44.701 amax 45.530 45.567 45.566 emean 0.159 0.160 0.161 emin 0.137 0.138 0.137 emax 0.184 0.186 0.191 imean 31.840 31.840 31.818 imin 31.355 31.349 31.256 imax 32.212 32.211 32.179 excite_mean 0.551 0.551 0.551 fracstop 1.000 1.000 1.000 cjmean 2.720 2.720 2.720 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 175.9 175.9 176.1 kozaiamp 180.0 179.9 179.9