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: 13RG124 # Created Tue Apr 1 01:09:35 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 29 observations of 29 # Arc: 5.17y # First observation: 2013/09/09 # Last observation: 2018/11/09 # Chi-squared of fit: 21.88 DOF: 52 RMS: 0.15 # Min/Max residuals: -0.50 0.34 # Exact a, adot, b, bdot, g, gdot: 1.836027E-05 3.165283E-02 5.703177E-06 9.449090E-03 2.615921E-02 -1.346529E-04 # Covariance matrix: 2.6891E-13 -1.7251E-13 2.7877E-14 -5.1491E-14 1.7678E-14 -9.1579E-13 -1.7251E-13 2.2688E-13 -5.9724E-14 8.2555E-14 4.5921E-14 1.5177E-12 2.7877E-14 -5.9724E-14 2.1685E-13 -7.2861E-14 -5.6925E-14 -3.9863E-13 -5.1491E-14 8.2555E-14 -7.2861E-14 5.4725E-14 -6.8651E-15 6.2698E-13 1.7678E-14 4.5921E-14 -5.6925E-14 -6.8651E-15 3.0202E-13 7.7154E-14 -9.1579E-13 1.5177E-12 -3.9863E-13 6.2698E-13 7.7154E-14 1.1346E-11 # lat0 lon0 xBary yBary zBary JD0 -41.646689 -29.864583 -0.280807 -0.643370 -0.723582 2456544.649528 # Heliocentric elements and errors Epoch: 2456544.5000 = 2013/09/09 Mean Anomaly: 0.23299 +/- 0.004 Argument of Peri: 287.69397 +/- 0.016 Long of Asc Node: 35.63024 +/- 0.000 Inclination: 43.51569 +/- 0.000 Eccentricity: 0.56927453 +/- 0.0001 Semi-Major Axis: 90.43791689 +/- 0.0231 Time of Perihelion: 2456341.1856 +/- 3.2 Perihelion: 38.95391456 +/- 0.0136 Aphelion: 141.92191922 +/- 0.0375 Period (y) 860.0705 +/- 0.33 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 25.75201471 +/- 0.0005 Ecliptic Y -14.45996769 +/- 0.0003 Ecliptic Z -25.40333742 +/- 0.0005 Ecliptic XDOT 0.00220423 +/- 0.0000 Ecliptic YDOT 0.00254973 +/- 0.0000 Ecliptic ZDOT 0.00074850 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.95620736 +/- 0.0005 Geocenter to KBO 38.22749899 +/- 0.0008 # Hcoef: 7.19
The following table shows the complete astrometric record for 13RG124. 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 (13RG124) followed by the observatory code and reference code for the source of the astrometry.
2013 09 09.14875 23 32 52.522 -49 15 46.24 24.1g 13RG124 W84 C~4yQr 2013 09 13.25558 23 32 22.20 -49 16 47.5 23.4r 13RG124 W84 C~3clA 2013 10 04.10930 23 29 51.273 -49 16 48.95 23.8g 13RG124 W84 C~4yQr 2013 10 14.10689 23 28 45.523 -49 13 39.14 22.6z 13RG124 W84 C~4yQr 2013 12 23.06966 23 26 18.444 -48 04 32.74 22.9r 13RG124 W84 C~4yQr 2014 08 22.26146 23 42 23.587 -47 41 16.77 23.3g 13RG124 W84 C~4yQr 2014 11 14.16750 23 33 48.790 -47 28 47.76 23.0i 13RG124 W84 C~4yQr 2014 11 14.16891 23 33 48.777 -47 28 47.78 22.8r 13RG124 W84 C~4yQr 2015 08 18.26307 23 49 47.079 -46 10 26.69 23.3r 13RG124 W84 C~4yQr 2015 08 21.26336 23 49 29.382 -46 12 27.60 23.0i 13RG124 W84 C~4yQs 2015 08 21.26475 23 49 29.421 -46 12 27.56 24.2g 13RG124 W84 C~4yQs 2015 09 02.24718 23 48 13.144 -46 19 18.08 23.2z 13RG124 W84 C~4yQs 2016 09 26.18203 23 52 04.024 -44 57 32.38 22.7r 13RG124 W84 C~4yQs 2016 09 26.18341 23 52 03.988 -44 57 32.31 23.1i 13RG124 W84 C~4yQs 2016 09 26.18477 23 52 04.017 -44 57 32.21 23.9g 13RG124 W84 C~4yQs 2016 10 21.08620 23 49 24.388 -44 53 11.58 22.8g 13RG124 W84 C~4yQs 2016 12 06.11092 23 46 49.715 -44 15 00.71 22.7z 13RG124 W84 C~4yQs 2016 12 19.04288 23 46 54.029 -43 59 10.49 22.9i 13RG124 W84 C~4yQs 2017 10 15.26451 23 56 23.690 -43 26 34.18 23.2r 13RG124 W84 C~4yQs 2017 10 20.09678 23 55 54.938 -43 25 05.82 23.8g 13RG124 W84 C~4yQs 2017 10 20.09816 23 55 54.926 -43 25 05.42 23.2i 13RG124 W84 C~4yQs 2017 10 22.24512 23 55 42.629 -43 24 16.96 23.1i 13RG124 W84 C~4yQs 2017 10 28.13345 23 55 10.675 -43 21 36.00 22.9i 13RG124 W84 C~4yQs 2017 10 29.16706 23 55 05.365 -43 21 03.74 22.9z 13RG124 W84 C~4yQs 2017 11 08.11525 23 54 19.114 -43 14 51.28 23.5r 13RG124 W84 C~4yQs 2017 11 09.07689 23 54 15.151 -43 14 09.52 23.0g 13RG124 W84 C~4yQs 2017 11 09.07825 23 54 15.162 -43 14 09.44 23.8g 13RG124 W84 C~4yQs 2018 10 18.22126 00 02 11.824 -41 55 59.67 22.7z 13RG124 W84 C~4yQs 2018 11 09.01895 00 00 20.232 -41 45 32.28 22.9i 13RG124 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 0.21 0.00 0.09 2 0.0112 0.00 0.02 0.00 0.00 3 0.0683 0.00 -0.10 0.00 -0.13 4 0.0957 0.00 0.15 0.00 0.03 5 0.2873 0.00 -0.09 0.00 -0.06 6 0.9503 0.00 0.17 0.00 -0.17 7 1.1801 0.00 0.08 0.00 0.05 8 1.1801 0.00 -0.05 0.00 -0.05 9 1.9387 0.00 -0.09 0.00 -0.03 10 1.9469 0.00 -0.50 0.00 0.12 11 1.9469 0.00 0.21 0.00 0.21 12 1.9797 0.00 -0.01 0.00 0.05 13 3.0473 0.00 0.16 0.00 0.02 14 3.0473 0.00 -0.24 0.00 0.10 15 3.0473 0.00 0.34 0.00 0.20 16 3.1155 0.00 -0.15 0.00 -0.03 17 3.2415 0.00 -0.17 0.00 -0.16 18 3.2769 0.00 0.02 0.00 -0.11 19 4.0989 0.00 -0.06 0.00 0.15 20 4.1121 0.00 -0.01 0.00 -0.42 21 4.1121 0.00 -0.06 0.00 -0.05 22 4.1180 0.00 0.14 0.00 -0.10 23 4.1341 0.00 0.03 0.00 0.15 24 4.1369 0.00 0.24 0.00 0.04 25 4.1642 0.00 -0.09 0.00 0.02 26 4.1668 0.00 -0.22 0.00 0.08 27 4.1668 0.00 0.03 0.00 0.10 28 5.1063 0.00 0.18 0.00 -0.15 29 5.1660 0.00 0.07 0.00 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.
13RG124 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 91.398 91.398 91.399 ecceobj 0.574 0.574 0.574 incobj 43.533 43.533 43.533 qmin 38.147 38.147 38.147 qmax 147.194 147.169 147.036 amean 91.025 91.026 91.027 amin 89.643 89.708 89.692 amax 93.156 93.141 93.045 emean 0.558 0.558 0.558 emin 0.542 0.542 0.542 emax 0.581 0.580 0.581 imean 43.713 43.704 43.727 imin 42.831 42.831 42.831 imax 44.512 44.500 44.521 excite_mean 0.888 0.888 0.888 fracstop 1.000 1.000 1.000 cjmean 2.415 2.415 2.415 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 291.0 296.0 286.7 kozaiamp 180.0 180.0 180.0