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: 13RK124 # Created Sun Dec 22 02:09:32 2024 # Orbit generated from Bernstein formalism # Fitting 28 observations of 28 # Arc: 3.96y # First observation: 2013/09/10 # Last observation: 2017/08/27 Preliminary a, adot, b, bdot, g, gdot: -0.000276 0.029028 0.000007 0.001037 0.027091 0.000000 # Chi-squared of fit: 7.06 DOF: 50 RMS: 0.09 # Min/Max residuals: -0.15 0.26 # Exact a, adot, b, bdot, g, gdot: 1.698240E-05 2.948509E-02 3.677160E-07 1.061241E-03 2.792181E-02 5.565353E-03 # Covariance matrix: 2.7750E-13 -4.5029E-14 4.2155E-16 5.7738E-16 2.0106E-13 3.0405E-13 -4.5029E-14 2.5909E-13 -3.2701E-15 9.6041E-15 1.7992E-13 2.3918E-12 4.2155E-16 -3.2701E-15 1.5324E-13 -4.9046E-14 -1.7443E-15 -3.2256E-14 5.7738E-16 9.6041E-15 -4.9046E-14 2.4384E-14 8.0172E-15 9.8598E-14 2.0106E-13 1.7992E-13 -1.7443E-15 8.0172E-15 4.5349E-13 2.2521E-12 3.0405E-13 2.3918E-12 -3.2256E-14 9.8598E-14 2.2521E-12 2.4896E-11 # lat0 lon0 xBary yBary zBary JD0 -6.952695 19.191982 0.529565 -0.103687 -0.851113 2456545.864868 # Heliocentric elements and errors Epoch: 2456540.5000 = 2013/09/05 Mean Anomaly: 56.66669 +/- 0.013 Argument of Peri: 209.21471 +/- 0.024 Long of Asc Node: 92.57118 +/- 0.002 Inclination: 7.05343 +/- 0.000 Eccentricity: 0.18424806 +/- 0.0002 Semi-Major Axis: 39.59539298 +/- 0.0037 Time of Perihelion: 2442215.6286 +/- 2.7 Perihelion: 32.30001872 +/- 0.0072 Aphelion: 46.89076723 +/- 0.0078 Period (y) 249.1582 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 34.55844839 +/- 0.0008 Ecliptic Y 11.47159002 +/- 0.0003 Ecliptic Z -4.33532748 +/- 0.0001 Ecliptic XDOT -0.00043311 +/- 0.0000 Ecliptic YDOT 0.00291151 +/- 0.0000 Ecliptic ZDOT 0.00003737 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.66986224 +/- 0.0008 Geocenter to KBO 35.81430015 +/- 0.0009 # Hcoef: 7.46
The following table shows the complete astrometric record for 13RK124. 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 (13RK124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 10.36409 01 21 21.771 +01 04 25.72 24.3g 13RK124 W84 C~4yQs 2013 09 10.36550 01 21 21.78 +01 04 25.6 22.8r 13RK124 W84 C~3clA 2013 09 10.36688 01 21 21.762 +01 04 25.63 22.7i 13RK124 W84 C~4yQs 2013 10 02.29121 01 19 40.990 +00 52 50.83 24.2g 13RK124 W84 C~4yQs 2013 11 08.20827 01 16 36.738 +00 35 48.48 22.7r 13RK124 W84 C~4yQs 2013 11 08.20964 01 16 36.734 +00 35 48.37 23.1i 13RK124 W84 C~4yQs 2013 11 22.16504 01 15 38.795 +00 31 46.65 22.4i 13RK124 W84 C~4yQs 2013 11 22.16642 01 15 38.786 +00 31 46.53 21.8z 13RK124 W84 C~4yQs 2014 10 02.31473 01 25 52.167 +01 34 21.59 22.8r 13RK124 W84 C~4yQs 2014 10 28.22004 01 23 40.623 +01 21 38.67 23.2r 13RK124 W84 C~4yQs 2014 10 28.22306 01 23 40.610 +01 21 38.60 23.3i 13RK124 W84 C~4yQs 2014 11 18.16589 01 22 04.055 +01 14 05.16 22.4z 13RK124 W84 C~4yQs 2015 10 17.17378 01 30 44.601 +02 07 48.81 22.9r 13RK124 W84 C~4yQs 2016 08 15.42460 01 40 45.868 +03 16 40.55 22.2i 13RK124 W84 C~4yQs 2016 08 16.37872 01 40 44.245 +03 16 22.23 22.9z 13RK124 W84 C~4yQs 2016 08 26.34061 01 40 22.454 +03 12 44.80 23.1r 13RK124 W84 C~4yQs 2016 08 30.34139 01 40 11.308 +03 11 07.11 24.6g 13RK124 W84 C~4yQs 2016 10 21.23531 01 36 22.807 +02 45 54.19 22.4z 13RK124 W84 C~4yQs 2016 10 21.23668 01 36 22.790 +02 45 54.11 22.9i 13RK124 W84 C~4yQs 2016 10 23.21148 01 36 12.718 +02 44 59.29 23.8g 13RK124 W84 C~4yQs 2016 10 28.24390 01 35 47.146 +02 42 43.37 23.4r 13RK124 W84 C~4yQs 2016 10 29.17111 01 35 42.498 +02 42 19.23 23.5g 13RK124 W84 C~4yQs 2016 11 05.14793 01 35 08.049 +02 39 27.23 23.2r 13RK124 W84 C~4yQs 2017 08 22.38370 01 46 27.355 +03 53 33.06 23.4i 13RK124 W84 C~4yQs 2017 08 22.38506 01 46 27.350 +03 53 33.06 23.6r 13RK124 W84 C~4yQs 2017 08 22.38645 01 46 27.360 +03 53 33.10 24.3g 13RK124 W84 C~4yQs 2017 08 27.36659 01 46 15.683 +03 51 42.82 23.3r 13RK124 W84 C~4yQs 2017 08 27.39283 01 46 15.623 +03 51 42.30 22.3z 13RK124 W84 C~4yQs
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 -0.06 0.00 0.05
2 0.0000 0.08 0.12 -0.16 -0.11
3 0.0000 -0.16 -0.02 -0.03 0.03
4 0.0600 -1661.88 0.15 -75.95 0.03
5 0.1611 -4607.78 -0.01 15.63 0.14
6 0.1611 -4607.87 -0.01 15.55 0.05
7 0.1993 -5504.57 -0.00 118.40 -0.07
8 0.1993 -5504.74 -0.09 118.34 -0.14
9 1.0594 4433.16 -0.09 141.70 0.06
10 1.1303 2317.93 -0.04 175.11 -0.03
11 1.1303 2317.72 -0.00 175.12 -0.04
12 1.1877 805.38 0.02 298.74 0.01
13 2.0994 9255.67 0.05 358.53 -0.07
14 2.9297 19204.95 -0.03 825.64 -0.05
15 2.9323 19175.31 0.02 817.66 0.25
16 2.9596 18788.17 -0.11 737.16 -0.03
17 2.9705 18595.28 -0.01 708.62 0.17
18 3.1126 14830.36 0.03 581.98 -0.01
19 3.1126 14830.09 -0.12 582.00 0.01
20 3.1180 14668.82 0.26 587.55 0.12
21 3.1318 14260.64 -0.12 604.69 -0.09
22 3.1343 14186.67 0.05 608.33 -0.15
23 3.1534 13641.16 0.03 641.81 0.00
24 3.9480 24837.26 -0.05 979.41 -0.01
25 3.9480 24837.19 -0.06 979.44 0.03
26 3.9480 24837.35 0.15 979.42 0.02
27 3.9617 24631.20 -0.09 941.60 -0.09
28 3.9617 24630.16 0.07 941.45 -0.06
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.
13RK124 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.828 39.840 39.816 ecceobj 0.188 0.189 0.188 incobj 7.057 7.057 7.057 qmin 31.467 31.492 31.465 qmax 48.079 48.202 48.062 amean 39.457 39.457 39.457 amin 38.984 38.958 38.981 amax 40.001 40.039 40.001 emean 0.185 0.185 0.185 emin 0.168 0.169 0.167 emax 0.203 0.204 0.203 imean 5.439 5.415 5.453 imin 4.861 4.820 4.886 imax 6.040 6.006 6.085 excite_mean 0.208 0.208 0.208 fracstop 1.000 1.000 1.000 cjmean 3.002 3.003 3.002 libcent 0 179.5 180.2 180.2 libamp 0 103.7 106.6 100.2 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 169.9 162.8 175.5 kozaiamp 179.9 179.9 180.0