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: 500881 # Created Wed Dec 4 02:07:11 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 45 observations of 45 # Arc: 3.97y # First observation: 2013/04/10 # Last observation: 2017/03/30 # Chi-squared of fit: 26.12 DOF: 84 RMS: 0.13 # Min/Max residuals: -0.34 0.40 # Exact a, adot, b, bdot, g, gdot: 1.651010E-05 2.527032E-02 -1.339621E-06 6.783038E-04 2.510699E-02 1.003655E-03 # 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 7.229201 -116.880785 0.675496 0.093412 -0.736288 2456393.098038 # Heliocentric elements and errors Epoch: 2456392.5000 = 2013/04/10 Mean Anomaly: 30.07177 +/- 0.000 Argument of Peri: 44.05103 +/- 0.000 Long of Asc Node: 165.36199 +/- 0.000 Inclination: 7.28739 +/- 0.000 Eccentricity: 0.04593013 +/- 0.0000 Semi-Major Axis: 42.22352173 +/- 0.0000 Time of Perihelion: 2448021.3221 +/- 0.0 Perihelion: 40.28418976 +/- 0.0000 Aphelion: 44.16285370 +/- 0.0000 Period (y) 274.3721 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -18.80203370 +/- 0.0000 Ecliptic Y -35.59787446 +/- 0.0000 Ecliptic Z 5.01209119 +/- 0.0000 Ecliptic XDOT 0.00240673 +/- 0.0000 Ecliptic YDOT -0.00133413 +/- 0.0000 Ecliptic ZDOT 0.00008729 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.56901487 +/- 0.0000 Geocenter to KBO 39.82955014 +/- 0.0000 # Hcoef: 8.12
The following table shows the complete astrometric record for 500881. 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 (500881) followed by the observatory code and reference code for the source of the astrometry.
2013 04 10.59726 16 10 01.685 -13 40 52.83 500881 568 C~1XRd 2013 04 19.46815 16 09 29.738 -13 38 18.35 24.5r 500881 568 C~1XRd 2013 04 19.52102 16 09 29.536 -13 38 17.54 24.1r 500881 568 C~1XRd 2013 05 08.45533 16 08 06.808 -13 32 49.12 24.1r 500881 568 C~1XRd 2013 05 08.49936 16 08 06.590 -13 32 48.41 24.1r 500881 568 C~1XRd 2013 05 08.54316 16 08 06.389 -13 32 47.64 24.2r 500881 568 C~1XRd 2013 05 09.55025 16 08 01.586 -13 32 30.91 24.5r 500881 568 C~1XRd 2013 06 06.33922 16 05 44.609 -13 25 48.84 23.9r 500881 568 C~1XRd 2013 06 06.42482 16 05 44.191 -13 25 48.13 24.4r 500881 568 C~1XRd 2013 06 07.39360 16 05 39.506 -13 25 36.81 23.9r 500881 568 C~1XRd 2013 06 08.30862 16 05 35.087 -13 25 26.26 23.8r 500881 568 C~1XRd 2013 06 12.44212 16 05 15.465 -13 24 42.32 500881 568 C~1XRd 2013 06 12.45678 16 05 15.399 -13 24 42.00 500881 568 C~1XRd 2013 06 13.45080 16 05 10.768 -13 24 32.36 24.0r 500881 568 C~1XRd 2013 07 02.37684 16 03 50.762 -13 22 18.96 24.4r 500881 568 C~1XRd 2013 07 04.36816 16 03 43.479 -13 22 11.16 24.4r 500881 568 C~1XRd 2013 08 01.26276 16 02 32.749 -13 22 44.12 500881 568 C~1XRd 2013 08 02.31057 16 02 31.355 -13 22 50.30 500881 568 C~1XRd 2013 08 05.30049 16 02 28.006 -13 23 10.69 24.6r 500881 568 C~1XRd 2014 02 28.57283 16 16 50.799 -14 03 57.86 24.3r 500881 568 C~2LSW 2014 04 04.51497 16 16 13.049 -13 56 07.37 24.5r 500881 568 C~1XRd 2014 04 04.58425 16 16 12.856 -13 56 06.29 24.4r 500881 568 C~2LSW 2014 04 04.59120 16 16 12.844 -13 56 06.05 23.8r 500881 568 C~1XRd 2014 05 01.41785 16 14 34.780 -13 48 34.73 24.1r 500881 568 C~1XRd 2014 05 01.44535 16 14 34.653 -13 48 34.49 24.2r 500881 568 C~1XRd 2014 05 01.46926 16 14 34.554 -13 48 34.00 24.3r 500881 568 C~1XRd 2014 05 01.50260 16 14 34.409 -13 48 33.77 23.7r 500881 568 C~1XRd 2014 05 01.52791 16 14 34.293 -13 48 32.99 24.0r 500881 568 C~1XRd 2014 05 01.55699 16 14 34.159 -13 48 32.21 24.2r 500881 568 C~1XRd 2014 05 04.41561 16 14 21.288 -13 47 45.00 24.0r 500881 568 C~1XRd 2014 05 04.44278 16 14 21.142 -13 47 44.07 23.8r 500881 568 C~1XRd 2014 05 04.46606 16 14 21.059 -13 47 44.06 24.0r 500881 568 C~1XRd 2014 05 04.49329 16 14 20.927 -13 47 43.48 23.7r 500881 568 C~1XRd 2014 05 04.51675 16 14 20.825 -13 47 42.89 24.3r 500881 568 C~1XRd 2014 05 04.54574 16 14 20.681 -13 47 42.62 24.4r 500881 568 C~1XRd 2014 05 22.51414 16 12 54.062 -13 43 02.16 23.6r 500881 568 C~1XRd 2014 05 25.46782 16 12 39.284 -13 42 20.57 24.1r 500881 568 C~1XRd 2014 06 02.46901 16 11 59.379 -13 40 35.93 23.8r 500881 568 C~1XRd 2014 07 18.37716 16 08 51.748 -13 36 00.15 24.7r 500881 568 C~1XRd 2015 03 22.57019 16 22 31.848 -14 12 19.15 24.2r 500881 568 C~1XRd 2015 08 11.31349 16 14 00.651 -13 51 27.92 24.1r 500881 568 C~2LSW 2016 05 29.37647 16 24 08.672 -14 07 37.41 500881 568 C~2LSW 2016 06 03.41661 16 23 43.441 -14 06 38.75 24.3w 500881 568 C~2LSW 2017 03 28.62163 16 34 05.163 -14 34 49.21 24.6w 500881 568 C~2LSW 2017 03 30.60577 16 34 01.495 -14 34 21.12 24.4w 500881 568 C~2LSW
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 -0.05 0.00 0.38 2 0.0243 0.00 -0.03 0.00 -0.02 3 0.0244 0.00 0.09 0.00 -0.13 4 0.0763 0.00 -0.13 0.00 -0.03 5 0.0764 0.00 -0.20 0.00 -0.06 6 0.0765 0.00 -0.03 0.00 -0.03 7 0.0793 0.00 -0.04 0.00 -0.10 8 0.1554 0.00 0.07 0.00 -0.06 9 0.1556 0.00 0.14 0.00 -0.34 10 0.1582 0.00 0.13 0.00 -0.18 11 0.1607 0.00 -0.17 0.00 0.03 12 0.1721 0.00 -0.07 0.00 0.01 13 0.1721 0.00 -0.01 0.00 0.18 14 0.1748 0.00 0.07 0.00 -0.07 15 0.2266 0.00 0.03 0.00 -0.20 16 0.2321 0.00 0.06 0.00 0.00 17 0.3085 0.00 0.13 0.00 0.03 18 0.3113 0.00 -0.12 0.00 0.18 19 0.3195 0.00 0.00 0.00 -0.14 20 0.8870 0.00 0.03 0.00 0.02 21 0.9827 0.00 0.05 0.00 0.08 22 0.9829 0.00 0.06 0.00 0.04 23 0.9829 0.00 0.17 0.00 0.16 24 1.0563 0.00 -0.08 0.00 0.11 25 1.0564 0.00 -0.12 0.00 -0.11 26 1.0565 0.00 0.02 0.00 -0.01 27 1.0566 0.00 0.11 0.00 -0.34 28 1.0566 0.00 0.09 0.00 0.01 29 1.0567 0.00 0.06 0.00 0.30 30 1.0645 0.00 -0.00 0.00 -0.14 31 1.0646 0.00 -0.30 0.00 0.34 32 1.0647 0.00 0.08 0.00 -0.04 33 1.0647 0.00 0.01 0.00 0.09 34 1.0648 0.00 0.11 0.00 0.29 35 1.0649 0.00 -0.02 0.00 0.08 36 1.1141 0.00 0.40 0.00 0.08 37 1.1222 0.00 -0.08 0.00 -0.03 38 1.1441 0.00 -0.00 0.00 0.01 39 1.2698 0.00 -0.11 0.00 -0.18 40 1.9465 0.00 -0.06 0.00 -0.09 41 2.3346 0.00 -0.10 0.00 -0.08 42 3.1342 0.00 -0.01 0.00 -0.06 43 3.1480 0.00 -0.01 0.00 0.07 44 3.9645 0.00 0.06 0.00 -0.06 45 3.9699 0.00 -0.08 0.00 -0.02
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.
500881 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 42.101 42.101 42.101 ecceobj 0.042 0.042 0.042 incobj 7.297 7.297 7.297 qmin 38.609 38.609 38.603 qmax 46.626 46.626 46.637 amean 42.331 42.329 42.319 amin 41.927 41.914 41.933 amax 42.781 42.781 42.785 emean 0.061 0.060 0.057 emin 0.028 0.029 0.018 emax 0.090 0.090 0.090 imean 7.623 7.544 7.536 imin 6.312 6.268 6.312 imax 9.175 9.139 9.262 excite_mean 0.146 0.145 0.144 fracstop 1.000 1.000 1.000 cjmean 3.057 3.057 3.057 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 178.3 179.9 183.6 kozaiamp 179.9 180.0 180.0