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: 13RN109 # Created Sun Apr 20 01:09:34 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 35 observations of 35 # Arc: 6.22y # First observation: 2013/09/10 # Last observation: 2019/11/28 # Chi-squared of fit: 12.76 DOF: 64 RMS: 0.11 # Min/Max residuals: -0.21 0.21 # Exact a, adot, b, bdot, g, gdot: 1.481649E-05 2.632507E-02 9.796070E-06 1.612269E-02 2.795611E-02 -2.090851E-03 # Covariance matrix: 2.1658E-13 -7.7207E-14 2.3566E-14 -3.1672E-14 8.0129E-14 -3.4246E-13 -7.7207E-14 7.9812E-14 -3.8032E-14 4.8754E-14 1.7545E-14 5.2568E-13 2.3566E-14 -3.8032E-14 1.5412E-13 -5.9722E-14 -1.2009E-14 -2.9302E-13 -3.1672E-14 4.8754E-14 -5.9722E-14 4.6405E-14 1.2935E-14 3.7558E-13 8.0129E-14 1.7545E-14 -1.2009E-14 1.2935E-14 1.5863E-13 1.3786E-13 -3.4246E-13 5.2568E-13 -2.9302E-13 3.7558E-13 1.3786E-13 4.0496E-12 # lat0 lon0 xBary yBary zBary JD0 -8.054108 8.925855 0.368611 -0.131313 -0.928702 2456545.844418 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 335.76513 +/- 0.019 Argument of Peri: 18.43416 +/- 0.027 Long of Asc Node: 20.94470 +/- 0.000 Inclination: 32.29743 +/- 0.000 Eccentricity: 0.15791448 +/- 0.0000 Semi-Major Axis: 42.61113645 +/- 0.0030 Time of Perihelion: 2463385.9522 +/- 11.2 Perihelion: 35.88222097 +/- 0.0033 Aphelion: 49.34005194 +/- 0.0040 Period (y) 278.1588 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.97206181 +/- 0.0005 Ecliptic Y 5.27963023 +/- 0.0001 Ecliptic Z -5.01139763 +/- 0.0001 Ecliptic XDOT -0.00038793 +/- 0.0000 Ecliptic YDOT 0.00254860 +/- 0.0000 Ecliptic ZDOT 0.00159221 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.70124415 +/- 0.0005 Geocenter to KBO 35.77042739 +/- 0.0005 # Hcoef: 7.54
The following table shows the complete astrometric record for 13RN109. 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 (13RN109) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.34364 00 45 28.596 -03 52 00.64 23.9g 13RN109 W84 C~4yQp 2013 10 03.11541 00 43 29.498 -04 01 52.59 24.3g 13RN109 W84 C~4yQp 2013 10 04.15874 00 43 23.837 -04 02 17.80 23.9g 13RN109 W84 C~4yQp 2013 10 13.22535 00 42 34.690 -04 05 44.85 22.9i 13RN109 W84 C~4yQp 2013 10 13.22672 00 42 34.682 -04 05 44.98 22.9z 13RN109 W84 C~4yQp 2013 11 08.15030 00 40 26.389 -04 12 27.51 23.4r 13RN109 W84 C~4yQp 2013 11 23.13775 00 39 29.548 -04 13 26.87 22.8i 13RN109 W84 C~4yQp 2014 11 15.08792 00 44 03.275 -02 47 04.47 22.8i 13RN109 W84 C~4yQp 2014 11 17.053877 00 43 55.63 -02 47 15.6 22.8z 13RN109 W84 C~35bX 2014 11 17.05440 00 43 55.644 -02 47 15.74 23.1z 13RN109 W84 C~4yQp 2014 11 21.100185 00 43 40.83 -02 47 31.2 22.3z 13RN109 W84 C~35bX 2014 11 21.10071 00 43 40.850 -02 47 31.24 22.6z 13RN109 W84 C~4yQp 2015 09 04.29719 00 54 11.008 -00 55 27.91 22.5z 13RN109 W84 C~4yQp 2015 09 04.29857 00 54 10.995 -00 55 27.90 22.9i 13RN109 W84 C~4yQp 2016 08 30.35404 00 58 35.262 +00 33 24.33 24.2g 13RN109 W84 C~4yQp 2016 11 05.17275 00 52 54.521 +00 08 27.73 23.6r 13RN109 W84 C~4yQp 2016 11 05.19660 00 52 54.417 +00 08 27.36 22.7i 13RN109 W84 C~4yQp 2016 11 06.19836 00 52 49.718 +00 08 12.96 22.6i 13RN109 W84 C~4yQp 2016 11 06.19973 00 52 49.717 +00 08 13.05 23.9g 13RN109 W84 C~4yQp 2016 11 18.07996 00 51 58.837 +00 06 01.74 22.8r 13RN109 W84 C~4yQp 2016 11 18.13249 00 51 58.628 +00 06 01.43 22.6z 13RN109 W84 C~4yQp 2017 08 22.33695 01 03 13.405 +02 03 27.72 23.7r 13RN109 W84 C~4yQp 2017 08 22.337789 01 03 13.41 +02 03 27.6 23.1i 13RN109 W84 C~35bX 2017 08 22.33832 01 03 13.423 +02 03 27.53 22.8i 13RN109 W84 C~4yQp 2017 08 22.33969 01 03 13.401 +02 03 27.66 24.4g 13RN109 W84 C~4yQp 2017 09 18.286782 01 01 16.44 +01 53 58.2 22.3r 13RN109 W84 C~35bX 2017 09 27.237199 01 00 29.69 +01 50 19.7 23.0z 13RN109 W84 C~35bX 2017 09 27.23772 01 00 29.681 +01 50 19.74 22.8z 13RN109 W84 C~4yQp 2017 10 22.162951 00 58 13.94 +01 40 34.0 22.2z 13RN109 W84 C~35bX 2017 10 22.16347 00 58 13.936 +01 40 33.95 22.3z 13RN109 W84 C~4yQp 2018 09 21.28671 01 05 11.955 +03 21 02.86 22.1z 13RN109 W84 C~4yQp 2018 10 18.20031 01 02 46.002 +03 10 22.05 22.4z 13RN109 W84 C~4yQp 2019 11 28.22784 01 03 45.24 +04 27 28.6 24.4g 13RN109 T09 C~8nZL 2019 11 28.30377 01 03 44.98 +04 27 28.1 24.5g 13RN109 T09 C~8nZL 2019 11 28.37994 01 03 44.72 +04 27 27.6 24.5g 13RN109 T09 C~8nZL
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 -0.12
2 0.0623 0.00 -0.12 0.00 0.11
3 0.0652 0.00 0.14 0.00 0.21
4 0.0900 0.00 -0.02 0.00 -0.05
5 0.0900 0.00 -0.03 0.00 -0.15
6 0.1610 0.00 -0.02 0.00 0.06
7 0.2020 0.00 -0.04 0.00 -0.17
8 1.1793 0.00 -0.05 0.00 0.02
9 1.1847 0.00 -0.21 0.00 0.15
10 1.1847 0.00 0.03 0.00 0.01
11 1.1958 0.00 -0.15 0.00 0.06
12 1.1958 0.00 0.18 0.00 0.02
13 1.9821 0.00 0.09 0.00 0.06
14 1.9821 0.00 -0.01 0.00 0.10
15 2.9706 0.00 0.05 0.00 0.21
16 3.1535 0.00 0.03 0.00 -0.08
17 3.1536 0.00 0.18 0.00 -0.10
18 3.1563 0.00 0.02 0.00 -0.09
19 3.1563 0.00 0.11 0.00 0.01
20 3.1889 0.00 0.00 0.00 -0.05
21 3.1890 0.00 -0.01 0.00 0.05
22 3.9480 0.00 -0.17 0.00 0.06
23 3.9480 0.00 -0.05 0.00 -0.05
24 3.9480 0.00 0.18 0.00 -0.11
25 3.9480 0.00 -0.08 0.00 0.04
26 4.0217 0.00 -0.21 0.00 -0.09
27 4.0463 0.00 0.18 0.00 -0.01
28 4.0463 0.00 0.09 0.00 0.04
29 4.1145 0.00 0.05 0.00 -0.09
30 4.1145 0.00 0.03 0.00 -0.13
31 5.0293 0.00 -0.08 0.00 -0.20
32 5.1030 0.00 0.07 0.00 0.07
33 6.2146 0.00 -0.15 0.00 -0.00
34 6.2148 0.00 -0.03 0.00 0.10
35 6.2150 0.00 0.09 0.00 0.20
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.
13RN109 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 42.818 42.817 42.818 ecceobj 0.161 0.161 0.161 incobj 32.232 32.232 32.232 qmin 34.520 34.544 34.519 qmax 51.057 51.035 51.091 amean 42.584 42.583 42.583 amin 42.220 42.227 42.218 amax 42.989 42.994 43.000 emean 0.167 0.167 0.167 emin 0.145 0.145 0.145 emax 0.188 0.188 0.188 imean 31.927 31.926 31.927 imin 31.462 31.465 31.464 imax 32.396 32.381 32.399 excite_mean 0.555 0.555 0.555 fracstop 1.000 1.000 1.000 cjmean 2.697 2.697 2.697 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 173.9 174.1 173.9 kozaiamp 179.9 179.9 179.9