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: 13RR124 # Created Sun Dec 22 02:09:33 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 27 observations of 27 # Arc: 5.00y # First observation: 2013/09/13 # Last observation: 2018/09/15 # Chi-squared of fit: 25.93 DOF: 48 RMS: 0.17 # Min/Max residuals: -0.53 0.34 # Exact a, adot, b, bdot, g, gdot: 1.451700E-05 2.607935E-02 -3.419169E-06 -4.107060E-03 2.576781E-02 1.201850E-03 # Covariance matrix: 1.7458E-13 -6.2842E-14 -2.2249E-14 4.7738E-15 5.5218E-14 -2.8107E-13 -6.2842E-14 1.5427E-13 -1.5937E-14 -1.4170E-14 7.5059E-14 1.3464E-12 -2.2249E-14 -1.5937E-14 1.5805E-13 -3.7580E-14 -6.1503E-14 -1.3160E-13 4.7738E-15 -1.4170E-14 -3.7580E-14 1.8894E-14 -3.2380E-15 -1.4142E-13 5.5218E-14 7.5059E-14 -6.1503E-14 -3.2380E-15 1.8582E-13 6.6909E-13 -2.8107E-13 1.3464E-12 -1.3160E-13 -1.4142E-13 6.6909E-13 1.3265E-11 # lat0 lon0 xBary yBary zBary JD0 -45.618607 -1.606107 0.140147 -0.712523 -0.697449 2456548.849818 # Heliocentric elements and errors Epoch: 2456548.5000 = 2013/09/13 Mean Anomaly: 33.62449 +/- 0.084 Argument of Peri: 222.71376 +/- 0.100 Long of Asc Node: 101.21628 +/- 0.000 Inclination: 45.34106 +/- 0.000 Eccentricity: 0.06432962 +/- 0.0001 Semi-Major Axis: 41.68747784 +/- 0.0028 Time of Perihelion: 2447366.0174 +/- 23.0 Perihelion: 39.00573834 +/- 0.0050 Aphelion: 44.36921733 +/- 0.0052 Period (y) 269.1638 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 28.12528664 +/- 0.0005 Ecliptic Y -0.92579109 +/- 0.0000 Ecliptic Z -27.73627028 +/- 0.0005 Ecliptic XDOT -0.00015099 +/- 0.0000 Ecliptic YDOT 0.00277492 +/- 0.0000 Ecliptic ZDOT -0.00039634 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.51186734 +/- 0.0005 Geocenter to KBO 38.80811763 +/- 0.0006 # Hcoef: 7.36
The following table shows the complete astrometric record for 13RR124. 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 (13RR124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 13.34904 01 23 24.38 -41 34 08.6 23.7g 13RR124 W84 C~3clA 2013 09 13.35043 01 23 24.381 -41 34 09.01 23.1r 13RR124 W84 C~4yQs 2013 09 13.35179 01 23 24.355 -41 34 09.10 22.9i 13RR124 W84 C~4yQs 2013 10 03.34077 01 21 28.771 -41 47 16.12 24.7g 13RR124 W84 C~4yQs 2013 11 09.18741 01 17 41.413 -41 51 09.53 23.8r 13RR124 W84 C~4yQs 2013 11 09.18879 01 17 41.400 -41 51 09.30 23.4i 13RR124 W84 C~4yQs 2013 12 24.13758 01 15 00.403 -41 19 02.17 24.1g 13RR124 W84 C~4yQs 2014 01 14.07205 01 15 05.581 -40 54 32.64 22.5z 13RR124 W84 C~4yQs 2014 01 21.06424 01 15 19.772 -40 45 45.01 23.5g 13RR124 W84 C~4yQs 2014 01 21.06561 01 15 19.831 -40 45 44.55 23.1r 13RR124 W84 C~4yQs 2014 08 22.34108 01 32 16.992 -40 36 35.26 23.6g 13RR124 W84 C~4yQs 2014 08 22.34246 01 32 17.006 -40 36 35.09 23.1i 13RR124 W84 C~4yQs 2016 01 11.09665 01 29 15.920 -39 50 18.89 23.9r 13RR124 W84 C~4yQs 2016 10 03.31821 01 43 11.212 -39 54 50.56 22.8i 13RR124 W84 C~4yQs 2016 10 03.31959 01 43 11.220 -39 54 50.62 23.5r 13RR124 W84 C~4yQs 2016 10 03.32095 01 43 11.185 -39 54 50.34 23.9g 13RR124 W84 C~4yQs 2016 10 06.07660 01 42 54.728 -39 56 17.97 23.3i 13RR124 W84 C~4yQs 2016 10 06.07797 01 42 54.724 -39 56 18.29 22.8z 13RR124 W84 C~4yQs 2016 10 06.07936 01 42 54.723 -39 56 18.19 23.4r 13RR124 W84 C~4yQs 2016 11 07.27100 01 39 36.388 -40 02 10.30 24.2g 13RR124 W84 C~4yQs 2017 11 20.23465 01 45 22.322 -39 19 08.90 23.2i 13RR124 W84 C~4yQs 2017 11 20.23601 01 45 22.302 -39 19 08.89 23.5g 13RR124 W84 C~4yQs 2017 12 15.16385 01 43 37.292 -39 03 09.89 23.0r 13RR124 W84 C~4yQs 2017 12 15.16522 01 43 37.307 -39 03 09.88 22.5i 13RR124 W84 C~4yQs 2017 12 15.16659 01 43 37.292 -39 03 09.78 24.3g 13RR124 W84 C~4yQs 2018 09 15.36906 01 58 29.745 -38 18 26.23 23.6r 13RR124 W84 C~4yQs 2018 09 15.37044 01 58 29.756 -38 18 26.44 24.3g 13RR124 W84 C~4yQt
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 0.22 0.00 0.32
2 0.0000 0.00 0.34 0.00 -0.02
3 0.0000 0.00 0.06 0.00 -0.05
4 0.0547 0.00 0.15 0.00 0.01
5 0.1556 0.00 0.01 0.00 -0.09
6 0.1556 0.00 -0.07 0.00 0.12
7 0.2787 0.00 -0.07 0.00 -0.06
8 0.3360 0.00 -0.25 0.00 -0.15
9 0.3551 0.00 -0.53 0.00 -0.15
10 0.3551 0.00 0.30 0.00 0.21
11 0.9391 0.00 -0.25 0.00 -0.17
12 0.9391 0.00 0.02 0.00 0.09
13 2.3265 0.00 0.08 0.00 0.00
14 3.0554 0.00 -0.20 0.00 -0.12
15 3.0554 0.00 0.05 0.00 -0.13
16 3.0554 0.00 -0.35 0.00 0.19
17 3.0629 0.00 -0.02 0.00 0.20
18 3.0629 0.00 0.04 0.00 -0.08
19 3.0629 0.00 0.16 0.00 0.07
20 3.1511 0.00 0.16 0.00 -0.18
21 4.1859 0.00 -0.01 0.00 0.10
22 4.1859 0.00 -0.20 0.00 0.08
23 4.2541 0.00 0.05 0.00 -0.02
24 4.2541 0.00 0.34 0.00 -0.08
25 4.2541 0.00 0.18 0.00 -0.05
26 5.0048 0.00 -0.16 0.00 0.09
27 5.0048 0.00 0.10 0.00 -0.05
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.
13RR124 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.920 41.920 41.920 ecceobj 0.070 0.070 0.070 incobj 45.348 45.348 45.348 qmin 38.308 38.283 38.300 qmax 45.321 45.321 45.322 amean 41.718 41.718 41.718 amin 41.410 41.414 41.406 amax 42.054 42.050 42.047 emean 0.067 0.067 0.067 emin 0.056 0.056 0.057 emax 0.078 0.078 0.078 imean 43.727 43.727 43.727 imin 43.506 43.506 43.505 imax 43.940 43.939 43.942 excite_mean 0.694 0.694 0.694 fracstop 1.000 1.000 1.000 cjmean 2.419 2.419 2.419 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 191.9 192.0 191.9 kozaiamp 180.0 180.0 179.9