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: 16QR164 # Created Mon Jul 7 01:11:12 2025 # Orbit generated from Bernstein formalism # Fitting 20 observations of 20 # Arc: 0.97y # First observation: 2016/08/28 # Last observation: 2017/08/19 Preliminary a, adot, b, bdot, g, gdot: -0.000016 0.031840 -0.000000 -0.006142 0.026797 0.000000 # Chi-squared of fit: 7.34 DOF: 34 RMS: 0.11 # Min/Max residuals: -0.32 0.20 # Exact a, adot, b, bdot, g, gdot: 1.808093E-05 3.156017E-02 -3.142379E-06 -6.120150E-03 2.767195E-02 -3.447458E-03 # Covariance matrix: 4.9756E-13 3.8613E-11 1.0899E-14 -7.2602E-12 1.9874E-11 1.2010E-09 3.8613E-11 5.9651E-09 1.7275E-12 -1.1141E-09 3.0554E-09 1.8433E-07 1.0899E-14 1.7275E-12 2.4356E-13 -5.8296E-13 8.9587E-13 5.3480E-11 -7.2602E-12 -1.1141E-09 -5.8296E-13 2.0851E-10 -5.7075E-10 -3.4432E-08 1.9874E-11 3.0554E-09 8.9587E-13 -5.7075E-10 1.5663E-09 9.4434E-08 1.2010E-09 1.8433E-07 5.3480E-11 -3.4432E-08 9.4434E-08 5.6968E-06 # lat0 lon0 xBary yBary zBary JD0 15.459712 -24.642773 -0.001200 0.269906 -0.975467 2457628.798529 # Heliocentric elements and errors Epoch: 2457620.5000 = 2016/08/20 Mean Anomaly: 345.96799 +/- 8.076 Argument of Peri: 152.08616 +/- 16.438 Long of Asc Node: 208.37845 +/- 0.079 Inclination: 18.59429 +/- 0.019 Eccentricity: 0.29622745 +/- 0.0417 Semi-Major Axis: 51.45995178 +/- 1.4425 Time of Perihelion: 2462876.0702 +/- 3016.8 Perihelion: 36.21610126 +/- 2.3737 Aphelion: 66.70380231 +/- 2.8460 Period (y) 369.1580 +/- 15.52 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 32.57508534 +/- 0.0453 Ecliptic Y -14.94617949 +/- 0.0208 Ecliptic Z 9.63281804 +/- 0.0138 Ecliptic XDOT 0.00115144 +/- 0.0002 Ecliptic YDOT 0.00290098 +/- 0.0001 Ecliptic ZDOT -0.00067457 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 37.11220351 +/- 0.0408 Geocenter to KBO 36.13767607 +/- 0.0517 # Hcoef: 9.56
The following table shows the complete astrometric record for 16QR164. 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 (16QR164) followed by the observatory code and reference code for the source of the astrometry.
2016 08 28.29774 22 06 11.00 +04 51 33.4 25.4i 16QR164 T09 C~8vII 2016 08 28.30044 22 06 10.98 +04 51 33.4 25.0i 16QR164 T09 C~8vII 2016 08 28.30855 22 06 10.95 +04 51 33.1 24.9i 16QR164 T09 C~8vII 2016 08 30.28003 22 06 01.38 +04 50 28.7 24.9i 16QR164 T09 C~8vII 2016 08 30.31574 22 06 01.21 +04 50 27.5 24.7i 16QR164 T09 C~8vII 2016 08 30.32391 22 06 01.17 +04 50 27.2 24.9i 16QR164 T09 C~8vII 2017 06 24.46602 22 17 40.98 +05 25 09.6 25.0i 16QR164 T09 C~8vII 2017 06 24.47137 22 17 40.99 +05 25 09.6 25.0i 16QR164 T09 C~8vII 2017 06 24.47938 22 17 40.96 +05 25 09.6 24.9i 16QR164 T09 C~8vII 2017 06 24.49808 22 17 40.94 +05 25 09.9 25.2i 16QR164 T09 C~8vII 2017 08 18.32705 22 14 18.57 +05 16 12.9 25.6g 16QR164 T09 C~8vII 2017 08 18.32984 22 14 18.55 +05 16 12.7 25.7g 16QR164 T09 C~8vII 2017 08 18.33960 22 14 18.49 +05 16 12.5 25.8g 16QR164 T09 C~8vII 2017 08 18.35223 22 14 18.44 +05 16 12.2 25.8g 16QR164 T09 C~8vII 2017 08 18.36060 22 14 18.40 +05 16 11.9 25.3g 16QR164 T09 C~8vII 2017 08 19.34646 22 14 13.61 +05 15 44.7 24.8r 16QR164 T09 C~8vII 2017 08 19.34926 22 14 13.60 +05 15 44.9 25.6r 16QR164 T09 C~8vII 2017 08 19.35919 22 14 13.55 +05 15 44.7 25.5r 16QR164 T09 C~8vII 2017 08 19.37181 22 14 13.47 +05 15 44.0 25.0r 16QR164 T09 C~8vII 2017 08 19.38020 22 14 13.42 +05 15 43.7 25.1r 16QR164 T09 C~8vII
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 -0.07
2 0.0000 -0.28 -0.07 0.11 0.04
3 0.0000 -0.81 0.05 -0.01 -0.05
4 0.0054 -157.46 -0.04 -8.11 0.06
5 0.0055 -160.26 0.03 -8.31 0.01
6 0.0055 -160.93 0.02 -8.37 -0.02
7 0.8218 10350.12 -0.13 -1840.30 0.16
8 0.8218 10350.26 0.13 -1840.35 0.01
9 0.8219 10349.84 -0.11 -1840.19 0.02
10 0.8219 10349.67 0.15 -1839.81 0.05
11 0.9720 7330.44 0.13 -1253.95 -0.03
12 0.9720 7330.08 -0.00 -1254.03 -0.12
13 0.9721 7329.18 -0.15 -1253.89 0.01
14 0.9721 7328.37 0.04 -1253.90 -0.02
15 0.9721 7327.70 0.03 -1253.97 -0.09
16 0.9748 7251.06 0.03 -1253.58 -0.13
17 0.9748 7251.00 0.18 -1253.34 0.11
18 0.9748 7250.23 0.20 -1253.26 0.18
19 0.9749 7248.86 -0.18 -1253.48 -0.05
20 0.9749 7248.05 -0.32 -1253.49 -0.06
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.
16QR164 quality flag:1 Type: SCATNEAR CENTAURS SCATNEAR axisobj 51.878 58.103 51.552 ecceobj 0.303 0.446 0.289 incobj 18.561 18.616 18.545 qmin 34.655 29.807 35.804 qmax 69.721 88.835 67.799 amean 51.718 57.972 51.450 amin 51.084 53.762 50.968 amax 52.509 60.282 52.073 emean 0.302 0.450 0.285 emin 0.283 0.408 0.269 emax 0.330 0.480 0.303 imean 18.879 18.427 19.156 imin 17.778 16.053 18.443 imax 19.576 20.368 19.678 excite_mean 0.443 0.550 0.435 fracstop 1.000 1.000 1.000 cjmean 2.945 2.869 2.952 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 178.0 183.7 193.7 kozaiamp 180.0 179.9 180.0