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: 16QA135 # Created Sat Apr 20 01:17:59 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 2.20y # First observation: 2016/08/26 # Last observation: 2018/11/07 Preliminary a, adot, b, bdot, g, gdot: -0.000018 0.023088 -0.000012 -0.012087 0.025088 0.000000 # Chi-squared of fit: 2.27 DOF: 26 RMS: 0.07 # Min/Max residuals: -0.18 0.11 # Exact a, adot, b, bdot, g, gdot: 1.403846E-05 2.329081E-02 -8.030045E-06 -1.221932E-02 2.534666E-02 4.575463E-03 # Covariance matrix: 2.9532E-13 -7.6818E-14 6.6187E-16 -8.2194E-15 1.9555E-13 2.9945E-13 -7.6818E-14 7.3544E-13 1.0544E-13 -4.9412E-13 4.5767E-13 1.9688E-11 6.6187E-16 1.0544E-13 2.2861E-13 -2.2765E-13 6.5222E-14 3.7608E-12 -8.2194E-15 -4.9412E-13 -2.2765E-13 5.9357E-13 -3.1516E-13 -1.7524E-11 1.9555E-13 4.5767E-13 6.5222E-14 -3.1516E-13 6.4040E-13 1.2505E-11 2.9945E-13 1.9688E-11 3.7608E-12 -1.7524E-11 1.2505E-11 6.9877E-10 # lat0 lon0 xBary yBary zBary JD0 -3.663346 0.652861 0.463485 -0.057353 -0.898301 2457626.705879 # Heliocentric elements and errors Epoch: 2457620.5000 = 2016/08/20 Mean Anomaly: 41.89185 +/- 0.060 Argument of Peri: 126.67016 +/- 0.139 Long of Asc Node: 173.21728 +/- 0.000 Inclination: 27.96163 +/- 0.001 Eccentricity: 0.20583478 +/- 0.0010 Semi-Major Axis: 46.34182694 +/- 0.0213 Time of Perihelion: 2444211.8455 +/- 16.7 Perihelion: 36.80306736 +/- 0.0488 Aphelion: 55.88058653 +/- 0.0525 Period (y) 315.4772 +/- 0.22 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 40.27142614 +/- 0.0012 Ecliptic Y -0.00709029 +/- 0.0000 Ecliptic Z -2.52111603 +/- 0.0001 Ecliptic XDOT 0.00038173 +/- 0.0000 Ecliptic YDOT 0.00251332 +/- 0.0000 Ecliptic ZDOT -0.00134879 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.35026443 +/- 0.0012 Geocenter to KBO 39.45292361 +/- 0.0012 # Hcoef: 6.83
The following table shows the complete astrometric record for 16QA135. 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 (16QA135) followed by the observatory code and reference code for the source of the astrometry.
2016 08 26.20509 00 08 13.778 -03 06 04.04 22.8r 16QA135 W84 C~55Zc 2016 09 09.15769 00 07 16.684 -03 14 29.91 23.1z 16QA135 W84 C~55Zc 2016 09 09.15907 00 07 16.688 -03 14 29.97 22.8i 16QA135 W84 C~55Zc 2016 09 22.09563 00 06 19.296 -03 22 29.95 22.7r 16QA135 W84 C~55Zc 2016 09 22.09701 00 06 19.291 -03 22 30.17 23.6g 16QA135 W84 C~55Zc 2016 11 26.12104 00 02 32.668 -03 51 36.22 22.3i 16QA135 W84 C~55Zc 2016 11 26.12241 00 02 32.673 -03 51 36.30 23.3r 16QA135 W84 C~55Zd 2017 08 18.31325 00 14 41.250 -03 08 03.23 22.6r 16QA135 W84 C~55Zd 2017 08 18.31463 00 14 41.238 -03 08 03.29 22.4i 16QA135 W84 C~55Zd 2017 10 17.22970 00 10 30.217 -03 43 26.35 22.5i 16QA135 W84 C~55Zd 2017 10 17.23107 00 10 30.210 -03 43 26.51 22.9r 16QA135 W84 C~55Zd 2017 10 29.15778 00 09 43.926 -03 49 11.23 22.6z 16QA135 W84 C~55Zd 2017 12 23.04948 00 08 18.821 -03 59 08.84 21.3Y 16QA135 W84 C~55Zd 2018 10 18.17681 00 16 24.625 -03 50 08.35 22.7z 16QA135 W84 C~55Zd 2018 10 18.17817 00 16 24.624 -03 50 08.38 22.9i 16QA135 W84 C~55Zd 2018 11 07.12755 00 15 10.638 -03 59 00.30 23.6r 16QA135 W84 C~55Zd
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 0.10 0.00 0.08
2 0.0382 -985.83 -0.10 -123.50 0.05
3 0.0382 -985.80 0.03 -123.58 -0.02
4 0.0736 -1965.33 0.02 -221.84 -0.02
5 0.0736 -1965.48 -0.03 -222.01 -0.18
6 0.2517 -5774.00 -0.03 -476.01 0.10
7 0.2517 -5773.96 0.04 -476.12 -0.00
8 0.9777 5275.24 0.04 -2425.73 0.03
9 0.9777 5275.06 -0.07 -2425.71 0.06
10 1.1418 979.93 0.03 -2871.00 0.11
11 1.1418 979.77 -0.03 -2871.11 0.01
12 1.1744 206.93 0.01 -2910.96 -0.11
13 1.3247 -1199.49 -0.03 -2951.52 -0.14
14 2.1437 5684.77 -0.03 -5361.38 0.02
15 2.1437 5684.74 0.04 -5361.40 -0.00
16 2.1983 4456.05 0.03 -5405.43 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.
16QA135 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.759 46.827 46.692 ecceobj 0.210 0.212 0.207 incobj 27.839 27.840 27.838 qmin 36.249 36.121 36.280 qmax 57.396 57.647 57.159 amean 46.594 46.652 46.513 amin 46.194 46.255 46.113 amax 47.063 47.129 46.968 emean 0.203 0.206 0.201 emin 0.188 0.189 0.186 emax 0.220 0.224 0.217 imean 27.487 27.504 27.482 imin 27.036 27.047 27.042 imax 27.878 27.857 27.868 excite_mean 0.504 0.506 0.503 fracstop 1.000 1.000 1.000 cjmean 2.807 2.806 2.807 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 180.2 179.9 180.3 kozaiamp 180.0 179.9 180.0