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: 13RF124 # Created Sun Nov 24 02:09:28 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 47 observations of 47 # Arc: 8.03y # First observation: 2013/09/02 # Last observation: 2021/09/12 # Chi-squared of fit: 13.22 DOF: 88 RMS: 0.09 # Min/Max residuals: -0.22 0.23 # Exact a, adot, b, bdot, g, gdot: 1.369413E-05 2.108306E-02 4.369577E-07 1.150637E-03 2.282258E-02 6.731768E-04 # Covariance matrix: 2.4760E-13 -4.5609E-14 -1.1243E-15 -6.0118E-16 1.9076E-13 -1.2374E-13 -4.5609E-14 4.0996E-14 -1.2753E-15 2.0139E-15 -5.9817E-15 2.5888E-13 -1.1243E-15 -1.2753E-15 6.4910E-14 -1.2746E-14 -2.5603E-15 -1.0787E-14 -6.0118E-16 2.0139E-15 -1.2746E-14 4.8987E-15 1.1606E-15 1.5295E-14 1.9076E-13 -5.9817E-15 -2.5603E-15 1.1606E-15 2.2575E-13 9.2843E-14 -1.2374E-13 2.5888E-13 -1.0787E-14 1.5295E-14 9.2843E-14 1.9322E-12 # lat0 lon0 xBary yBary zBary JD0 -2.785856 3.479125 0.408180 -0.044821 -0.922846 2456537.772218 # Heliocentric elements and errors Epoch: 2456538.5000 = 2013/09/03 Mean Anomaly: 144.29565 +/- 0.113 Argument of Peri: 171.94238 +/- 0.109 Long of Asc Node: 44.32719 +/- 0.002 Inclination: 4.12413 +/- 0.000 Eccentricity: 0.03602097 +/- 0.0001 Semi-Major Axis: 43.45153851 +/- 0.0036 Time of Perihelion: 2414605.4072 +/- 33.3 Perihelion: 41.88637210 +/- 0.0043 Aphelion: 45.01670492 +/- 0.0045 Period (y) 286.4283 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 44.63053712 +/- 0.0009 Ecliptic Y 2.30756138 +/- 0.0000 Ecliptic Z -2.12960055 +/- 0.0000 Ecliptic XDOT -0.00007246 +/- 0.0000 Ecliptic YDOT 0.00252872 +/- 0.0000 Ecliptic ZDOT 0.00013408 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 44.74085061 +/- 0.0009 Geocenter to KBO 43.81627005 +/- 0.0009 # Hcoef: 6.47
The following table shows the complete astrometric record for 13RF124. 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 (13RF124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 02.27144 00 17 11.748 -01 10 25.02 23.5g 13RF124 W84 C~4yQr 2013 09 11.29992 00 16 36.330 -01 14 20.78 23.5g 13RF124 W84 C~4yQr 2013 09 11.29992 00 16 36.33 -01 14 20.8 23.5g 13RF124 W84 C~3cl9 2013 10 13.10032 00 14 23.537 -01 28 15.61 22.7z 13RF124 W84 C~4yQr 2013 10 13.10032 00 14 23.54 -01 28 15.6 22.8z 13RF124 W84 C~3cl9 2013 10 13.13297 00 14 23.412 -01 28 16.45 22.4i 13RF124 W84 C~4yQr 2013 10 13.13297 00 14 23.41 -01 28 16.4 22.5i 13RF124 W84 C~3cl9 2013 11 22.08973 00 12 16.012 -01 39 53.08 23.4g 13RF124 W84 C~4yQr 2013 11 22.08973 00 12 16.01 -01 39 53.1 23.8g 13RF124 W84 C~3cl9 2013 11 22.09111 00 12 15.998 -01 39 53.29 22.8r 13RF124 W84 C~4yQr 2013 11 22.09111 00 12 16.00 -01 39 53.3 23.0r 13RF124 W84 C~3cl9 2013 11 22.09392 00 12 16.011 -01 39 53.46 22.2i 13RF124 W84 C~4yQr 2013 11 22.09392 00 12 16.00 -01 39 53.4 22.5i 13RF124 W84 C~3cl9 2013 11 23.08715 00 12 14.044 -01 40 01.66 23.2r 13RF124 W84 C~4yQr 2013 11 23.08715 00 12 14.04 -01 40 01.7 23.3r 13RF124 W84 C~3cl9 2013 11 23.10126 00 12 14.009 -01 40 01.70 22.9i 13RF124 W84 C~4yQr 2013 11 23.10126 00 12 14.01 -01 40 01.7 22.9i 13RF124 W84 C~3cl9 2014 08 18.30649 00 22 22.797 -00 32 06.38 22.9z 13RF124 W84 C~4yQr 2014 10 02.24991 00 19 29.557 -00 51 08.93 22.9r 13RF124 W84 C~4yQr 2014 10 02.24991 00 19 29.56 -00 51 08.9 22.8r 13RF124 W84 C~3cl9 2014 11 13.10105 00 16 55.565 -01 06 01.34 22.4z 13RF124 W84 C~4yQr 2014 11 13.10105 00 16 55.57 -01 06 01.3 22.8z 13RF124 W84 C~3cl9 2014 11 18.03260 00 16 42.958 -01 07 04.07 22.0z 13RF124 W84 C~4yQr 2014 11 18.03260 00 16 42.96 -01 07 04.1 22.2z 13RF124 W84 C~3clA 2015 10 17.16107 00 22 47.973 -00 24 57.62 22.7r 13RF124 W84 C~4yQr 2015 10 17.16107 00 22 47.97 -00 24 57.6 22.7r 13RF124 W84 C~3clA 2016 09 09.33710 00 29 40.68 +00 23 29.2 22.7r 13RF124 W84 C~3clA 2016 09 09.33846 00 29 40.66 +00 23 29.1 22.0i 13RF124 W84 C~3clA 2016 11 08.13786 00 25 43.76 -00 00 33.7 22.0i 13RF124 W84 C~3clA 2016 11 08.13923 00 25 43.755 -00 00 33.86 21.4z 13RF124 W84 C~4yQr 2017 09 27.21025 00 32 47.009 +00 48 01.35 22.8r 13RF124 W84 C~4yQr 2017 09 27.21161 00 32 46.999 +00 48 01.32 22.3i 13RF124 W84 C~4yQr 2017 09 27.21299 00 32 46.985 +00 48 01.35 24.3g 13RF124 W84 C~4yQr 2017 10 29.13070 00 30 36.543 +00 34 53.34 22.9z 13RF124 W84 C~4yQr 2018 09 09.33142 00 38 19.387 +01 28 11.37 22.7r 13RF124 W84 C~4yQr 2018 09 09.33280 00 38 19.381 +01 28 11.44 22.2i 13RF124 W84 C~4yQr 2018 10 10.25683 00 36 11.526 +01 14 42.44 22.9r 13RF124 W84 C~4yQr 2018 10 10.25820 00 36 11.515 +01 14 42.43 22.6i 13RF124 W84 C~4yQr 2018 10 18.18917 00 35 38.553 +01 11 23.76 22.4z 13RF124 W84 C~4yQr 2019 09 27.33105 00 41 26.35 +01 52 44.3 24.5g 13RF124 T09 C~7zmP 2019 09 27.41297 00 41 26.00 +01 52 42.1 24.5g 13RF124 T09 C~7zmP 2019 09 27.42364 00 41 25.97 +01 52 41.8 24.3g 13RF124 T09 C~7zmP 2019 09 27.52092 00 41 25.55 +01 52 39.4 24.4g 13RF124 T09 C~7zmP 2019 09 27.58839 00 41 25.26 +01 52 37.6 24.4g 13RF124 T09 C~7zmP 2021 09 12.350640 00 51 03.531 +03 03 18.72 23.0G 13RF124 G37 C~55Nb 2021 09 12.411510 00 51 03.290 +03 03 17.20 13RF124 G37 C~55Nb 2021 09 12.470890 00 51 03.060 +03 03 15.75 13RF124 G37 C~55Nb
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 0.14 0.00 0.14
2 0.0247 0.00 -0.06 0.00 -0.18
3 0.0247 0.00 -0.06 0.00 -0.16
4 0.1118 0.00 -0.10 0.00 0.06
5 0.1118 0.00 -0.05 0.00 0.07
6 0.1119 0.00 0.01 0.00 0.06
7 0.1119 0.00 0.04 0.00 0.01
8 0.2213 0.00 0.12 0.00 0.13
9 0.2213 0.00 0.09 0.00 0.11
10 0.2213 0.00 -0.02 0.00 -0.08
11 0.2213 0.00 -0.05 0.00 -0.07
12 0.2213 0.00 0.07 0.00 -0.16
13 0.2213 0.00 0.23 0.00 -0.22
14 0.2240 0.00 -0.08 0.00 -0.07
15 0.2240 0.00 -0.02 0.00 -0.03
16 0.2240 0.00 -0.10 0.00 0.05
17 0.2240 0.00 -0.12 0.00 0.05
18 0.9583 0.00 0.04 0.00 0.01
19 1.0814 0.00 0.08 0.00 0.09
20 1.0814 0.00 0.03 0.00 0.06
21 1.1960 0.00 0.05 0.00 0.15
22 1.1960 0.00 -0.03 0.00 0.11
23 1.2095 0.00 0.01 0.00 -0.02
24 1.2095 0.00 -0.02 0.00 0.01
25 2.1215 0.00 -0.11 0.00 -0.09
26 2.1215 0.00 -0.06 0.00 -0.11
27 3.0200 0.00 0.08 0.00 0.09
28 3.0200 0.00 -0.14 0.00 0.02
29 3.1838 0.00 0.12 0.00 0.07
30 3.1838 0.00 0.11 0.00 -0.07
31 4.0683 0.00 0.05 0.00 -0.01
32 4.0683 0.00 -0.01 0.00 -0.00
33 4.0683 0.00 -0.13 0.00 0.07
34 4.1557 0.00 -0.15 0.00 -0.08
35 5.0186 0.00 0.07 0.00 -0.04
36 5.0186 0.00 0.06 0.00 0.07
37 5.1033 0.00 0.11 0.00 -0.09
38 5.1033 0.00 0.04 0.00 -0.07
39 5.1250 0.00 0.08 0.00 0.12
40 6.0672 0.00 -0.20 0.00 0.04
41 6.0675 0.00 -0.19 0.00 0.01
42 6.0675 0.00 0.05 0.00 -0.01
43 6.0678 0.00 0.01 0.00 0.17
44 6.0679 0.00 -0.01 0.00 0.15
45 8.0276 0.00 0.09 0.00 -0.08
46 8.0278 0.00 0.02 0.00 -0.11
47 8.0279 0.00 0.03 0.00 -0.09
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.
13RF124 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.685 43.685 43.685 ecceobj 0.032 0.032 0.032 incobj 4.119 4.119 4.119 qmin 41.125 41.146 41.123 qmax 45.985 46.007 45.996 amean 43.487 43.487 43.487 amin 43.148 43.145 43.155 amax 43.834 43.828 43.838 emean 0.033 0.033 0.033 emin 0.015 0.015 0.015 emax 0.050 0.050 0.050 imean 3.044 3.044 3.044 imin 2.243 2.243 2.243 imax 3.767 3.768 3.766 excite_mean 0.063 0.063 0.063 fracstop 1.000 1.000 1.000 cjmean 3.091 3.091 3.091 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 183.7 183.8 183.9 kozaiamp 180.0 179.9 179.9