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: 500839 # Created Tue Apr 1 01:07:09 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 44 observations of 44 # Arc: 4.30y # First observation: 2013/02/08 # Last observation: 2017/05/30 # Chi-squared of fit: 20.01 DOF: 82 RMS: 0.12 # Min/Max residuals: -0.41 0.46 # Exact a, adot, b, bdot, g, gdot: 1.733963E-05 2.528912E-02 8.207423E-07 -2.173097E-03 2.493819E-02 2.104987E-05 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 1.149638 -145.469882 0.950180 0.005317 -0.262568 2456332.119468 # Heliocentric elements and errors Epoch: 2456332.5000 = 2013/02/09 Mean Anomaly: 340.73489 +/- 0.000 Argument of Peri: 188.54691 +/- 0.000 Long of Asc Node: 46.28724 +/- 0.000 Inclination: 5.02342 +/- 0.000 Eccentricity: 0.05991348 +/- 0.0000 Semi-Major Axis: 42.77145036 +/- 0.0000 Time of Perihelion: 2461800.1196 +/- 0.0 Perihelion: 40.20886384 +/- 0.0000 Aphelion: 45.33403687 +/- 0.0000 Period (y) 279.7301 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -33.78166670 +/- 0.0000 Ecliptic Y -22.08934523 +/- 0.0000 Ecliptic Z 0.80456609 +/- 0.0000 Ecliptic XDOT 0.00156170 +/- 0.0000 Ecliptic YDOT -0.00229033 +/- 0.0000 Ecliptic ZDOT -0.00023835 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.37064022 +/- 0.0000 Geocenter to KBO 40.09915600 +/- 0.0000 # Hcoef: 7.70
The following table shows the complete astrometric record for 500839. 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 (500839) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.61869 14 10 38.055 -11 56 52.48 24.0r 500839 568 C~1XRZ 2013 03 07.54942 14 09 50.179 -11 52 32.35 23.8r 500839 568 C~1XRZ 2013 03 07.60676 14 09 50.012 -11 52 31.22 23.5r 500839 568 C~1XRZ 2013 04 04.42184 14 08 04.078 -11 43 22.45 23.6r 500839 568 C~1XRZ 2013 04 04.46233 14 08 03.890 -11 43 21.49 23.7r 500839 568 C~1XRZ 2013 04 04.50260 14 08 03.714 -11 43 20.40 23.6r 500839 568 C~1XRZ 2013 04 04.55066 14 08 03.494 -11 43 19.52 23.9r 500839 568 C~1XRZ 2013 04 05.55312 14 07 58.970 -11 42 56.61 24.1r 500839 568 C~1XRZ 2013 04 05.55702 14 07 58.951 -11 42 56.14 23.6r 500839 568 C~1XRZ 2013 04 06.59497 14 07 54.215 -11 42 32.13 23.2r 500839 568 C~1XRZ 2013 04 07.41104 14 07 50.483 -11 42 12.80 23.1r 500839 568 C~1XRZ 2013 04 07.45481 14 07 50.289 -11 42 11.94 23.6r 500839 568 C~1XRZ 2013 04 08.39569 14 07 45.963 -11 41 49.83 23.2r 500839 568 C~1XRZ 2013 04 08.44342 14 07 45.732 -11 41 48.63 23.1r 500839 568 C~1XRZ 2013 04 08.48862 14 07 45.523 -11 41 47.70 24.0r 500839 568 C~1XRZ 2013 04 09.39004 14 07 41.350 -11 41 26.27 23.8r 500839 568 C~1XRZ 2013 04 09.43325 14 07 41.143 -11 41 25.23 23.5r 500839 568 C~1XRZ 2013 04 09.47643 14 07 40.937 -11 41 24.40 23.5r 500839 568 C~1XRZ 2013 05 11.42609 14 05 08.834 -11 28 42.62 23.7r 500839 568 C~1XRZ 2013 05 12.42771 14 05 04.270 -11 28 20.28 23.4r 500839 568 C~1XRZ 2013 06 13.26550 14 03 03.779 -11 18 51.63 23.8r 500839 568 C~1XRZ 2013 06 13.30597 14 03 03.662 -11 18 51.24 23.7r 500839 568 C~1XRZ 2013 07 04.28711 14 02 22.491 -11 16 10.51 24.2r 500839 568 C~1XRZ 2013 07 06.29463 14 02 20.521 -11 16 06.00 23.9r 500839 568 C~1XRZ 2014 02 24.55846 14 15 45.161 -12 31 11.55 23.8r 500839 568 C~1XRZ 2014 02 27.63879 14 15 38.934 -12 30 39.35 23.7r 500839 568 C~1XRZ 2014 03 27.45320 14 14 09.661 -12 23 04.66 24.1r 500839 568 C~1XRZ 2014 03 28.42997 14 14 05.611 -12 22 44.46 23.7r 500839 568 C~1XRZ 2014 03 28.46901 14 14 05.436 -12 22 43.60 23.9r 500839 568 C~1XRZ 2014 04 04.44681 14 13 35.343 -12 20 12.72 23.4r 500839 568 C~1XRZ 2014 04 04.48662 14 13 35.163 -12 20 11.81 23.8r 500839 568 C~1XRZ 2014 04 05.39741 14 13 31.085 -12 19 51.53 23.8r 500839 568 C~1XRZ 2014 04 05.57455 14 13 30.275 -12 19 47.42 23.8r 500839 568 C~1XRZ 2014 05 22.38158 14 09 50.976 -12 01 53.85 23.6r 500839 568 C~1XRZ 2014 05 22.46154 14 09 50.628 -12 01 52.17 23.9r 500839 568 C~1XRZ 2014 05 25.45403 14 09 38.146 -12 00 53.25 23.7r 500839 568 C~1XRZ 2014 06 26.31316 14 07 59.463 -11 53 33.37 23.9r 500839 568 C~1XRZ 2014 07 18.28369 14 07 38.702 -11 52 45.42 24.0r 500839 568 C~1XRZ 2015 01 26.61744 14 21 24.823 -13 07 56.84 23.9r 500839 568 C~1XRZ 2015 01 26.63271 14 21 24.852 -13 07 57.01 23.8r 500839 568 C~1XRZ 2015 03 21.61206 14 20 05.294 -13 01 18.64 23.7r 500839 568 C~2KOG 2017 05 25.46246 14 26 17.478 -13 49 42.70 23.7r 500839 568 C~2KOG 2017 05 30.28159 14 25 57.110 -13 48 11.22 23.6r 500839 568 C~2KOG 2017 05 30.34663 14 25 56.842 -13 48 10.03 23.5r 500839 568 C~2KOG
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 -0.41 0.00 -0.34 2 0.0737 0.00 -0.17 0.00 -0.14 3 0.0739 0.00 -0.08 0.00 0.10 4 0.1500 0.00 -0.09 0.00 -0.02 5 0.1502 0.00 -0.12 0.00 0.01 6 0.1503 0.00 0.01 0.00 0.17 7 0.1504 0.00 0.01 0.00 -0.06 8 0.1531 0.00 0.11 0.00 -0.31 9 0.1532 0.00 0.09 0.00 0.07 10 0.1560 0.00 -0.02 0.00 -0.07 11 0.1582 0.00 -0.14 0.00 0.18 12 0.1583 0.00 0.02 0.00 0.02 13 0.1609 0.00 0.11 0.00 0.01 14 0.1611 0.00 0.02 0.00 0.09 15 0.1612 0.00 0.08 0.00 -0.04 16 0.1636 0.00 0.07 0.00 0.08 17 0.1638 0.00 0.03 0.00 0.10 18 0.1639 0.00 0.01 0.00 -0.09 19 0.2514 0.00 -0.10 0.00 -0.03 20 0.2541 0.00 -0.08 0.00 -0.06 21 0.3413 0.00 0.21 0.00 -0.04 22 0.3414 0.00 0.21 0.00 -0.15 23 0.3988 0.00 -0.02 0.00 0.01 24 0.4043 0.00 -0.00 0.00 -0.06 25 1.0430 0.00 0.12 0.00 0.05 26 1.0514 0.00 0.04 0.00 -0.04 27 1.1275 0.00 0.46 0.00 0.16 28 1.1302 0.00 0.17 0.00 0.07 29 1.1303 0.00 0.02 0.00 0.12 30 1.1494 0.00 0.05 0.00 0.04 31 1.1495 0.00 0.06 0.00 0.07 32 1.1520 0.00 -0.08 0.00 -0.05 33 1.1525 0.00 -0.06 0.00 0.08 34 1.2807 0.00 -0.02 0.00 0.03 35 1.2809 0.00 -0.05 0.00 0.09 36 1.2891 0.00 -0.09 0.00 0.01 37 1.3763 0.00 -0.07 0.00 0.11 38 1.4365 0.00 -0.09 0.00 0.04 39 1.9630 0.00 -0.05 0.00 -0.00 40 1.9631 0.00 0.15 0.00 -0.09 41 2.1109 0.00 -0.11 0.00 -0.03 42 4.2898 0.00 -0.04 0.00 -0.07 43 4.3030 0.00 -0.09 0.00 -0.04 44 4.3032 0.00 -0.01 0.00 -0.04
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.
500839 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.614 42.614 42.614 ecceobj 0.058 0.058 0.058 incobj 5.029 5.029 5.029 qmin 39.666 39.671 39.673 qmax 46.400 46.354 46.409 amean 42.925 42.925 42.925 amin 42.596 42.599 42.593 amax 43.273 43.267 43.276 emean 0.052 0.052 0.052 emin 0.034 0.034 0.033 emax 0.072 0.072 0.072 imean 3.492 3.492 3.492 imin 2.550 2.549 2.550 imax 4.493 4.493 4.493 excite_mean 0.080 0.080 0.080 fracstop 1.000 1.000 1.000 cjmean 3.081 3.081 3.081 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 183.0 183.0 182.8 kozaiamp 180.0 180.0 180.0