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: 500838 # Created Wed Dec 25 02:07:09 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 39 observations of 39 # Arc: 9.09y # First observation: 2013/03/07 # Last observation: 2022/04/08 # Chi-squared of fit: 13.89 DOF: 72 RMS: 0.11 # Min/Max residuals: -0.22 0.25 # Exact a, adot, b, bdot, g, gdot: 1.511966E-05 1.932057E-02 -1.479966E-06 -9.026667E-04 2.174222E-02 -6.846869E-04 # 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 1.814247 -143.284659 0.756366 0.020400 -0.642794 2456359.042338 # Heliocentric elements and errors Epoch: 2456358.5000 = 2013/03/07 Mean Anomaly: 219.25399 +/- 0.000 Argument of Peri: 292.33491 +/- 0.000 Long of Asc Node: 69.75000 +/- 0.000 Inclination: 3.19986 +/- 0.000 Eccentricity: 0.08358913 +/- 0.0000 Semi-Major Axis: 43.70049951 +/- 0.0000 Time of Perihelion: 2497612.0764 +/- 0.0 Perihelion: 40.04761284 +/- 0.0000 Aphelion: 47.35338619 +/- 0.0000 Period (y) 288.8935 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -37.81701986 +/- 0.0000 Ecliptic Y -27.25914229 +/- 0.0000 Ecliptic Z 1.45606381 +/- 0.0000 Ecliptic XDOT 0.00151443 +/- 0.0000 Ecliptic YDOT -0.00190021 +/- 0.0000 Ecliptic ZDOT -0.00011620 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.64022877 +/- 0.0000 Geocenter to KBO 45.99350749 +/- 0.0000 # Hcoef: 6.74
The following table shows the complete astrometric record for 500838. 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 (500838) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.54156 14 19 57.809 -12 02 33.80 23.3r 500838 568 C~1XRZ 2013 03 07.59862 14 19 57.675 -12 02 33.34 23.2r 500838 568 C~1XRZ 2013 04 04.54263 14 18 26.723 -11 54 23.66 21.7r 500838 568 C~1XRZ 2013 04 07.40318 14 18 15.437 -11 53 25.28 23.4r 500838 568 C~1XRZ 2013 04 07.44689 14 18 15.263 -11 53 24.51 22.8r 500838 568 C~1XRZ 2013 04 08.43552 14 18 11.300 -11 53 04.11 23.3r 500838 568 C~1XRZ 2013 04 08.48075 14 18 11.118 -11 53 02.94 22.8r 500838 568 C~1XRZ 2013 04 09.38210 14 18 07.486 -11 52 44.29 24.0r 500838 568 C~1XRZ 2013 04 09.42533 14 18 07.307 -11 52 43.34 23.2r 500838 568 C~1XRZ 2013 04 09.46848 14 18 07.137 -11 52 42.44 23.1r 500838 568 C~1XRZ 2013 05 11.47017 14 15 52.449 -11 41 28.68 23.5r 500838 568 C~1XRZ 2013 05 12.47149 14 15 48.347 -11 41 08.72 23.7r 500838 568 C~1XRZ 2013 06 12.36752 14 13 59.693 -11 32 45.00 23.3r 500838 568 C~1XRZ 2013 06 12.41250 14 13 59.565 -11 32 44.35 23.0r 500838 568 C~1XRZ 2013 07 04.32702 14 13 15.316 -11 29 52.59 500838 568 C~1XRZ 2013 07 06.33482 14 13 12.994 -11 29 46.26 23.1r 500838 568 C~1XRZ 2013 08 02.26251 14 13 12.744 -11 31 04.50 23.9r 500838 568 C~1XRZ 2013 08 05.26320 14 13 16.345 -11 31 31.79 23.7r 500838 568 C~1XRZ 2014 02 24.58174 14 24 32.878 -12 29 09.46 23.9r 500838 568 C~1XRZ 2014 02 25.55135 14 24 31.348 -12 29 00.23 23.3r 500838 568 C~1XRZ 2014 02 28.51276 14 24 26.216 -12 28 29.74 23.3r 500838 568 C~1XRZ 2014 03 28.44557 14 23 08.447 -12 21 28.07 23.7r 500838 568 C~1XRZ 2014 04 05.41760 14 22 38.593 -12 18 53.76 23.3r 500838 568 C~1XRZ 2014 05 22.41728 14 19 23.613 -12 02 58.06 24.0r 500838 568 C~1XRZ 2014 05 28.38945 14 19 01.299 -12 01 14.70 23.3r 500838 568 C~1XRZ 2014 06 26.32498 14 17 39.128 -11 55 21.16 24.2r 500838 568 C~1XRZ 2014 07 18.29220 14 17 14.920 -11 54 18.80 23.5r 500838 568 C~1XRZ 2015 04 25.27362 14 25 33.58 -12 36 45.4 23.8V 500838 W84 C~2g2q 2015 04 25.34264 14 25 33.29 -12 36 43.9 500838 W84 C~2g2q 2015 04 26.33926 14 25 29.01 -12 36 23.3 500838 W84 C~2g2q 2016 05 29.35998 14 27 27.511 -12 50 06.86 23.9w 500838 568 C~2KOG 2016 06 05.34506 14 27 02.948 -12 48 18.70 23.4w 500838 568 C~2KOG 2017 02 23.64413 14 37 19.666 -13 41 12.21 500838 568 C~2KOG 2017 02 24.65456 14 37 18.386 -13 41 04.83 500838 568 C~2KOG 2017 03 27.64565 14 36 02.349 -13 34 28.81 500838 568 C~2KOG 2017 03 30.53104 14 35 52.249 -13 33 39.10 500838 568 C~2KOG 2017 03 31.47468 14 35 48.860 -13 33 22.37 23.2w 500838 568 C~2KOG 2022 04 08.437870 14 57 16.892 -15 28 06.87 23.5G 500838 G37 C~5aSm 2022 04 08.476670 14 57 16.772 -15 28 06.56 500838 G37 C~5aSm
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 -0.16 0.00 0.23 2 0.0002 0.00 -0.01 0.00 -0.10 3 0.0767 0.00 0.12 0.00 0.25 4 0.0845 0.00 -0.01 0.00 0.04 5 0.0846 0.00 0.04 0.00 -0.09 6 0.0873 0.00 -0.00 0.00 -0.17 7 0.0874 0.00 0.05 0.00 0.06 8 0.0899 0.00 -0.00 0.00 -0.06 9 0.0900 0.00 -0.02 0.00 -0.00 10 0.0901 0.00 0.10 0.00 -0.00 11 0.1778 0.00 -0.11 0.00 -0.13 12 0.1805 0.00 -0.03 0.00 -0.06 13 0.2651 0.00 -0.02 0.00 -0.01 14 0.2652 0.00 -0.04 0.00 0.10 15 0.3252 0.00 0.07 0.00 0.12 16 0.3307 0.00 0.13 0.00 0.11 17 0.4044 0.00 0.01 0.00 0.03 18 0.4127 0.00 0.20 0.00 0.19 19 0.9693 0.00 0.04 0.00 -0.06 20 0.9720 0.00 0.04 0.00 -0.09 21 0.9801 0.00 0.03 0.00 0.00 22 1.0565 0.00 -0.10 0.00 -0.13 23 1.0784 0.00 0.09 0.00 -0.00 24 1.2071 0.00 -0.07 0.00 -0.08 25 1.2234 0.00 0.05 0.00 0.01 26 1.3026 0.00 -0.08 0.00 0.07 27 1.3628 0.00 -0.02 0.00 -0.14 28 2.1321 0.00 -0.22 0.00 0.01 29 2.1322 0.00 -0.07 0.00 0.06 30 2.1350 0.00 -0.09 0.00 -0.13 31 3.2274 0.00 -0.03 0.00 -0.10 32 3.2466 0.00 -0.02 0.00 -0.08 33 3.9674 0.00 -0.04 0.00 0.22 34 3.9702 0.00 0.14 0.00 -0.03 35 4.0550 0.00 0.03 0.00 0.09 36 4.0629 0.00 0.01 0.00 -0.13 37 4.0655 0.00 -0.01 0.00 -0.09 38 9.0866 0.00 -0.21 0.00 0.22 39 9.0867 0.00 0.23 0.00 -0.12
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.
500838 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.553 43.553 43.553 ecceobj 0.088 0.088 0.088 incobj 3.201 3.201 3.201 qmin 38.881 38.881 38.886 qmax 49.153 49.081 49.127 amean 43.850 43.850 43.850 amin 43.505 43.494 43.487 amax 44.228 44.223 44.236 emean 0.092 0.092 0.092 emin 0.070 0.069 0.069 emax 0.111 0.110 0.111 imean 1.610 1.610 1.610 imin 0.562 0.562 0.562 imax 2.656 2.654 2.656 excite_mean 0.097 0.097 0.097 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 167.3 167.4 167.3 kozaiamp 179.8 180.0 179.9