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: 13RN124
# Created Sun Dec 22 02:09:33 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 27 observations of 27
# Arc: 7.03y
# First observation: 2013/09/11
# Last observation: 2020/09/21
# Chi-squared of fit: 8.21 DOF: 48 RMS: 0.10
# Min/Max residuals: -0.30 0.20
# Exact a, adot, b, bdot, g, gdot:
1.455102E-05 2.099253E-02 -3.667590E-06 -5.602139E-03 2.306217E-02 3.470807E-03
# Covariance matrix:
4.6359E-13 -7.3139E-14 1.0805E-15 2.8552E-15 4.2110E-13 -9.7373E-14
-7.3139E-14 7.6506E-14 1.6870E-14 -1.8672E-14 5.2629E-14 5.2763E-13
1.0805E-15 1.6870E-14 1.8227E-13 -4.3931E-14 3.0817E-14 1.4570E-13
2.8552E-15 -1.8672E-14 -4.3931E-14 1.7950E-14 -2.7310E-14 -1.5845E-13
4.2110E-13 5.2629E-14 3.0817E-14 -2.7310E-14 7.9719E-13 7.4369E-13
-9.7373E-14 5.2763E-13 1.4570E-13 -1.5845E-13 7.4369E-13 4.4659E-12
# lat0 lon0 xBary yBary zBary JD0
2.875911 -5.928415 0.100110 0.050396 -1.001251 2456546.769278
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 73.52516 +/- 0.030
Argument of Peri: 77.92884 +/- 0.041
Long of Asc Node: 184.37272 +/- 0.000
Inclination: 15.17816 +/- 0.000
Eccentricity: 0.15516322 +/- 0.0001
Semi-Major Axis: 45.29916760 +/- 0.0068
Time of Perihelion: 2433802.4807 +/- 10.6
Perihelion: 38.27040271 +/- 0.0071
Aphelion: 52.32793249 +/- 0.0089
Period (y) 304.8902 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 44.06141372 +/- 0.0017
Ecliptic Y -4.67296627 +/- 0.0002
Ecliptic Z 2.17537733 +/- 0.0001
Ecliptic XDOT 0.00069374 +/- 0.0000
Ecliptic YDOT 0.00243170 +/- 0.0000
Ecliptic ZDOT -0.00064341 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.36178726 +/- 0.0017
Geocenter to KBO 43.36098087 +/- 0.0017
# Hcoef: 6.66
The following table shows the complete astrometric record for 13RN124. 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 (13RN124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.26850 23 33 40.63 +00 17 11.3 23.6g 13RN124 W84 C~3clA 2013 10 11.11518 23 31 40.310 +00 02 08.59 22.7z 13RN124 W84 C~4yQs 2013 10 12.10342 23 31 36.694 +00 01 39.88 23.0i 13RN124 W84 C~4yQs 2013 10 12.10480 23 31 36.687 +00 01 39.79 22.7z 13RN124 W84 C~4yQs 2013 10 28.02651 23 30 44.704 -00 05 29.05 22.4r 13RN124 W84 C~4yQs 2013 11 23.07976 23 29 54.169 -00 13 55.31 23.0r 13RN124 W84 C~4yQs 2014 10 28.15544 23 35 38.014 +00 05 22.15 23.1r 13RN124 W84 C~4yQs 2015 11 08.04459 23 40 00.605 +00 11 59.41 23.2r 13RN124 W84 C~4yQs 2015 11 08.04598 23 40 00.597 +00 11 59.47 23.7g 13RN124 W84 C~4yQs 2016 10 05.12787 23 46 38.090 +00 37 07.27 22.8i 13RN124 W84 C~4yQs 2016 10 05.12924 23 46 38.077 +00 37 07.09 23.3r 13RN124 W84 C~4yQs 2016 10 05.13060 23 46 38.072 +00 37 06.88 23.5g 13RN124 W84 C~4yQs 2016 10 06.05178 23 46 34.454 +00 36 39.85 23.0z 13RN124 W84 C~4yQs 2016 10 07.08110 23 46 30.412 +00 36 09.24 23.8g 13RN124 W84 C~4yQs 2017 09 18.22364 23 52 36.309 +00 56 17.06 22.8i 13RN124 W84 C~4yQs 2017 09 27.15249 23 51 59.468 +00 51 46.78 23.3r 13RN124 W84 C~4yQs 2017 09 27.15388 23 51 59.464 +00 51 46.66 22.5z 13RN124 W84 C~4yQs 2017 09 27.15527 23 51 59.473 +00 51 46.49 22.9i 13RN124 W84 C~4yQs 2017 10 11.19736 23 51 03.519 +00 44 47.43 23.1z 13RN124 W84 C~4yQs 2017 11 17.02350 23 49 14.754 +00 30 02.22 23.1r 13RN124 W84 C~4yQs 2017 11 17.02897 23 49 14.740 +00 30 02.10 23.1i 13RN124 W84 C~4yQs 2017 11 18.02928 23 49 12.953 +00 29 45.28 24.1g 13RN124 W84 C~4yQs 2018 09 17.28275 23 57 27.651 +01 07 18.51 22.8i 13RN124 W84 C~4yQs 2018 09 17.28411 23 57 27.655 +01 07 18.13 23.3g 13RN124 W84 C~4yQs 2020 09 21.167620 00 06 38.049 +01 25 47.91 23.3G 13RN124 G37 C~49w5 2020 09 21.209850 00 06 37.886 +01 25 46.58 13RN124 G37 C~49w5 2020 09 21.271880 00 06 37.623 +01 25 44.88 13RN124 G37 C~49w5
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 -0.02 0.00 -0.05
2 0.0817 0.00 0.10 0.00 0.05
3 0.0844 0.00 0.07 0.00 -0.05
4 0.0844 0.00 0.04 0.00 -0.10
5 0.1280 0.00 -0.15 0.00 -0.01
6 0.1993 0.00 -0.00 0.00 0.07
7 1.1277 0.00 -0.05 0.00 -0.01
8 2.1568 0.00 -0.01 0.00 0.07
9 2.1568 0.00 -0.08 0.00 0.16
10 3.0660 0.00 0.12 0.00 0.08
11 3.0660 0.00 0.01 0.00 -0.06
12 3.0660 0.00 0.02 0.00 -0.23
13 3.0685 0.00 0.14 0.00 0.20
14 3.0714 0.00 0.01 0.00 0.16
15 4.0190 0.00 -0.01 0.00 -0.06
16 4.0435 0.00 -0.12 0.00 0.15
17 4.0435 0.00 -0.09 0.00 0.07
18 4.0435 0.00 0.13 0.00 -0.06
19 4.0819 0.00 -0.03 0.00 -0.02
20 4.1828 0.00 0.07 0.00 -0.09
21 4.1828 0.00 0.02 0.00 -0.12
22 4.1855 0.00 -0.01 0.00 0.01
23 5.0158 0.00 -0.10 0.00 0.04
24 5.0158 0.00 0.05 0.00 -0.30
25 7.0278 0.00 -0.09 0.00 0.04
26 7.0279 0.00 0.09 0.00 -0.03
27 7.0281 0.00 0.01 0.00 0.12
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.
13RN124 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.545 45.545 45.544 ecceobj 0.157 0.157 0.157 incobj 15.136 15.136 15.136 qmin 37.763 37.736 37.767 qmax 53.389 53.411 53.396 amean 45.405 45.406 45.405 amin 45.026 45.023 45.028 amax 45.834 45.825 45.826 emean 0.151 0.151 0.151 emin 0.138 0.138 0.138 emax 0.166 0.166 0.166 imean 15.306 15.306 15.306 imin 14.796 14.795 14.796 imax 15.801 15.803 15.804 excite_mean 0.304 0.304 0.304 fracstop 1.000 1.000 1.000 cjmean 3.004 3.004 3.004 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 177.6 177.6 177.6 kozaiamp 179.9 180.0 180.0