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: 16QZ133 # Created Sun Dec 22 02:10:44 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 13 observations of 13 # Arc: 5.12y # First observation: 2013/09/30 # Last observation: 2018/11/15 # Chi-squared of fit: 2.12 DOF: 20 RMS: 0.07 # Min/Max residuals: -0.13 0.14 # Exact a, adot, b, bdot, g, gdot: 1.404631E-05 1.925022E-02 -2.239428E-06 -2.736186E-03 2.143131E-02 2.030323E-03 # Covariance matrix: 6.5439E-13 -4.4324E-13 -2.3247E-14 4.4328E-14 -1.1395E-13 -3.6977E-12 -4.4324E-13 7.0558E-13 5.0502E-14 -9.6118E-14 1.6844E-13 8.0475E-12 -2.3247E-14 5.0502E-14 5.1685E-13 -1.4734E-13 1.0581E-14 6.2044E-13 4.4328E-14 -9.6118E-14 -1.4734E-13 6.3190E-14 -2.2446E-14 -1.1795E-12 -1.1395E-13 1.6844E-13 1.0581E-14 -2.2446E-14 1.0468E-12 1.4985E-12 -3.6977E-12 8.0475E-12 6.2044E-13 -1.1795E-12 1.4985E-12 9.8972E-11 # lat0 lon0 xBary yBary zBary JD0 -9.128507 3.813911 -0.052741 -0.158588 -0.987591 2456565.670898 # Heliocentric elements and errors Epoch: 2456566.5000 = 2013/10/01 Mean Anomaly: 82.36475 +/- 0.112 Argument of Peri: 133.98255 +/- 0.095 Long of Asc Node: 136.45089 +/- 0.002 Inclination: 12.05456 +/- 0.000 Eccentricity: 0.10217254 +/- 0.0005 Semi-Major Axis: 47.80058113 +/- 0.0117 Time of Perihelion: 2428948.8270 +/- 39.0 Perihelion: 42.91667434 +/- 0.0263 Aphelion: 52.68448792 +/- 0.0273 Period (y) 330.4897 +/- 0.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.96175472 +/- 0.0022 Ecliptic Y 3.18663728 +/- 0.0002 Ecliptic Z -7.40281246 +/- 0.0004 Ecliptic XDOT 0.00003044 +/- 0.0000 Ecliptic YDOT 0.00246579 +/- 0.0000 Ecliptic ZDOT -0.00038613 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 47.64825462 +/- 0.0022 Geocenter to KBO 46.66066856 +/- 0.0022 # Hcoef: 6.28
The following table shows the complete astrometric record for 16QZ133. 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 (16QZ133) followed by the observatory code and reference code for the source of the astrometry.
2013 09 30.17012 00 28 33.000 -06 51 34.06 22.4r 16QZ133 W84 C~52ZW 2013 09 30.17161 00 28 32.990 -06 51 34.08 21.8i 16QZ133 W84 C~52ZW 2014 10 20.14010 00 31 34.731 -06 41 37.84 23.2i 16QZ133 W84 C~52ZW 2016 08 31.27034 00 43 12.697 -05 43 57.42 23.9r 16QZ133 W84 C~52ZW 2016 08 31.27172 00 43 12.700 -05 43 57.44 23.6i 16QZ133 W84 C~52ZW 2016 10 01.20950 00 41 19.145 -05 58 33.04 22.7r 16QZ133 W84 C~52ZW 2016 10 02.19011 00 41 15.250 -05 58 59.26 22.3i 16QZ133 W84 C~52ZW 2016 11 06.11488 00 39 05.516 -06 11 05.13 23.3z 16QZ133 W84 C~52ZW 2017 09 26.30306 00 45 53.582 -05 38 15.44 22.6i 16QZ133 W84 C~52ZW 2017 09 27.27169 00 45 49.808 -05 38 42.17 22.7z 16QZ133 W84 C~52ZW 2017 09 27.30886 00 45 49.661 -05 38 43.22 22.8i 16QZ133 W84 C~52ZW 2017 10 20.24987 00 44 19.753 -05 48 10.32 22.6z 16QZ133 W84 C~52ZW 2018 11 15.05695 00 47 05.489 -05 37 01.97 23.3i 16QZ133 W84 C~52ZW
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 0.01 0.00 0.05
2 0.0000 0.00 -0.05 0.00 0.07
3 1.0540 0.00 0.04 0.00 -0.13
4 2.9188 0.00 -0.06 0.00 -0.02
5 2.9188 0.00 0.05 0.00 -0.00
6 3.0035 0.00 0.12 0.00 0.14
7 3.0062 0.00 -0.06 0.00 -0.11
8 3.1018 0.00 0.05 0.00 -0.07
9 3.9894 0.00 -0.05 0.00 0.08
10 3.9921 0.00 0.05 0.00 -0.01
11 3.9922 0.00 0.06 0.00 -0.04
12 4.0550 0.00 -0.12 0.00 0.02
13 5.1249 0.00 0.02 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.
16QZ133 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.096 48.096 48.096 ecceobj 0.104 0.104 0.104 incobj 12.031 12.031 12.031 qmin 40.017 40.023 40.014 qmax 56.039 56.028 56.045 amean 47.798 47.798 47.798 amin 47.344 47.345 47.345 amax 48.286 48.291 48.287 emean 0.122 0.122 0.122 emin 0.082 0.082 0.083 emax 0.161 0.160 0.161 imean 10.393 10.395 10.391 imin 9.655 9.656 9.654 imax 11.250 11.246 11.253 excite_mean 0.218 0.218 0.218 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.090 libcent 0 104.0 105.0 102.4 libamp 0 45.6 45.8 45.3 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 185.5 185.6 185.3 kozaiamp 179.9 180.0 180.0