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: 500833 # Created Fri Nov 22 02:07:12 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 36 observations of 36 # Arc: 4.29y # First observation: 2013/02/08 # Last observation: 2017/05/24 # Chi-squared of fit: 17.53 DOF: 66 RMS: 0.12 # Min/Max residuals: -0.35 0.34 # Exact a, adot, b, bdot, g, gdot: 1.746125E-05 3.129614E-02 2.462829E-06 3.766564E-03 2.847454E-02 1.629854E-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 0.931765 -146.420591 0.946017 0.004563 -0.277197 2456332.053298 # Heliocentric elements and errors Epoch: 2456332.5000 = 2013/02/09 Mean Anomaly: 13.46421 +/- 0.000 Argument of Peri: 351.06904 +/- 0.000 Long of Asc Node: 204.44387 +/- 0.000 Inclination: 6.95255 +/- 0.000 Eccentricity: 0.10271640 +/- 0.0000 Semi-Major Axis: 39.30687883 +/- 0.0000 Time of Perihelion: 2452965.9911 +/- 0.0 Perihelion: 35.26941775 +/- 0.0000 Aphelion: 43.34433992 +/- 0.0000 Period (y) 246.4399 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -30.00736861 +/- 0.0000 Ecliptic Y -18.78472801 +/- 0.0000 Ecliptic Z 0.57117361 +/- 0.0000 Ecliptic XDOT 0.00153249 +/- 0.0000 Ecliptic YDOT -0.00258944 +/- 0.0000 Ecliptic ZDOT 0.00036479 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.40668382 +/- 0.0000 Geocenter to KBO 35.11907731 +/- 0.0000 # Hcoef: 8.30
The following table shows the complete astrometric record for 500833. 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 (500833) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.55252 14 06 40.543 -11 49 58.54 23.0r 500833 568 C~1XRW 2013 02 08.59963 14 06 40.492 -11 49 58.11 24.4r 500833 568 C~1XRW 2013 04 04.40980 14 03 49.521 -11 31 35.18 24.1r 500833 568 C~1XRW 2013 04 04.44973 14 03 49.314 -11 31 33.82 24.1r 500833 568 C~1XRW 2013 04 04.49037 14 03 49.102 -11 31 32.80 23.9r 500833 568 C~1XRW 2013 04 05.51533 14 03 43.960 -11 31 02.31 23.8r 500833 568 C~1XRW 2013 04 05.51921 14 03 43.931 -11 31 02.26 23.7r 500833 568 C~1XRW 2013 04 05.52309 14 03 43.907 -11 31 02.33 23.0r 500833 568 C~1XRW 2013 04 05.52700 14 03 43.898 -11 31 01.91 22.9r 500833 568 C~1XRW 2013 04 06.58284 14 03 38.555 -11 30 30.18 23.8r 500833 568 C~1XRW 2013 04 08.38349 14 03 29.355 -11 29 36.03 23.7r 500833 568 C~1XRW 2013 05 11.41411 14 00 35.833 -11 12 50.31 23.8r 500833 568 C~1XRW 2013 05 12.41537 14 00 30.839 -11 12 21.58 23.8r 500833 568 C~1XRW 2013 06 13.25353 13 58 21.380 -11 00 01.93 22.4r 500833 568 C~1XRW 2013 06 13.29418 13 58 21.246 -11 00 00.77 23.8r 500833 568 C~1XRW 2013 07 04.27505 13 57 40.459 -10 56 05.63 24.4r 500833 568 C~1XRX 2013 07 06.28229 13 57 38.827 -10 55 55.68 500833 568 C~1XRX 2014 02 24.55846 14 13 32.927 -12 11 03.81 23.6r 500833 568 C~1XRX 2014 02 25.52781 14 13 30.921 -12 10 49.46 24.2r 500833 568 C~1XRX 2014 02 27.63879 14 13 26.189 -12 10 16.27 23.9r 500833 568 C~1XRX 2014 04 04.44681 14 11 09.885 -11 56 17.90 23.7r 500833 568 C~1XRX 2014 04 05.57455 14 11 04.284 -11 55 45.23 24.2r 500833 568 C~1XRX 2014 05 22.40174 14 07 02.552 -11 32 55.79 23.6r 500833 568 C~1XRX 2014 05 28.37385 14 06 35.930 -11 30 28.35 23.7r 500833 568 C~1XRX 2014 06 26.30540 14 05 03.752 -11 22 01.38 23.8r 500833 568 C~1XRX 2014 07 18.31734 14 04 45.612 -11 20 22.37 24.1r 500833 568 C~1XRX 2016 03 13.36926 14 27 19.72 -12 52 03.2 23.9R 500833 G37 C~1pQU 2016 03 13.44810 14 27 19.44 -12 52 01.5 500833 G37 C~1pQU 2016 05 07.36834 14 22 55.787 -12 27 19.71 23.8r 500833 568 C~2KOF 2016 05 07.43430 14 22 55.422 -12 27 17.93 23.9r 500833 568 C~2KOF 2016 05 29.34785 14 21 07.052 -12 17 47.68 24.0w 500833 568 C~2KOF 2017 02 23.64413 14 35 20.047 -13 18 54.08 500833 568 C~2KOF 2017 03 30.53104 14 33 33.441 -13 07 40.47 500833 568 C~2KOF 2017 03 31.47468 14 33 29.222 -13 07 16.39 23.7w 500833 568 C~2KOF 2017 05 21.34842 14 29 06.446 -12 43 57.09 23.7r 500833 568 C~2KOF 2017 05 24.27564 14 28 52.094 -12 42 44.33 23.7r 500833 568 C~2KOF
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 -0.04 0.00 -0.07 2 0.0001 0.00 -0.35 0.00 0.04 3 0.1502 0.00 0.08 0.00 -0.08 4 0.1503 0.00 0.03 0.00 0.10 5 0.1504 0.00 -0.04 0.00 -0.09 6 0.1532 0.00 0.14 0.00 -0.06 7 0.1532 0.00 0.00 0.00 -0.13 8 0.1532 0.00 -0.06 0.00 -0.31 9 0.1532 0.00 0.11 0.00 -0.01 10 0.1561 0.00 0.24 0.00 0.15 11 0.1611 0.00 -0.01 0.00 0.08 12 0.2515 0.00 -0.09 0.00 -0.00 13 0.2542 0.00 -0.13 0.00 0.11 14 0.3414 0.00 0.14 0.00 -0.27 15 0.3415 0.00 -0.03 0.00 0.22 16 0.3990 0.00 -0.04 0.00 0.06 17 0.4045 0.00 0.12 0.00 0.10 18 1.0431 0.00 -0.05 0.00 0.06 19 1.0458 0.00 0.07 0.00 -0.05 20 1.0516 0.00 0.02 0.00 0.04 21 1.1496 0.00 -0.00 0.00 -0.14 22 1.1527 0.00 0.06 0.00 -0.09 23 1.2809 0.00 0.08 0.00 -0.00 24 1.2973 0.00 -0.11 0.00 -0.07 25 1.3765 0.00 -0.06 0.00 0.07 26 1.4367 0.00 -0.08 0.00 0.18 27 3.0905 0.00 0.13 0.00 0.27 28 3.0907 0.00 -0.04 0.00 0.34 29 3.2411 0.00 0.02 0.00 0.05 30 3.2413 0.00 -0.10 0.00 -0.04 31 3.3013 0.00 0.16 0.00 0.02 32 4.0413 0.00 0.07 0.00 0.08 33 4.1368 0.00 -0.02 0.00 -0.21 34 4.1394 0.00 -0.08 0.00 -0.13 35 4.2787 0.00 -0.07 0.00 -0.07 36 4.2867 0.00 -0.08 0.00 -0.14
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.
500833 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.164 39.164 39.164 ecceobj 0.099 0.099 0.099 incobj 6.964 6.964 6.964 qmin 34.306 34.306 34.306 qmax 44.961 44.961 44.961 amean 39.459 39.459 39.459 amin 39.077 39.077 39.077 amax 39.875 39.875 39.875 emean 0.108 0.108 0.108 emin 0.088 0.088 0.088 emax 0.128 0.128 0.128 imean 7.991 7.991 7.991 imin 7.248 7.248 7.248 imax 8.754 8.754 8.754 excite_mean 0.176 0.176 0.176 fracstop 1.000 1.000 1.000 cjmean 3.016 3.016 3.016 libcent 0 180.8 180.8 180.8 libamp 0 69.1 69.1 69.1 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 182.1 182.1 182.1 kozaiamp 180.0 180.0 180.0