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: 16QF165 # Created Sun Oct 19 01:11:32 2025 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 29.96d # First observation: 2016/07/29 # Last observation: 2016/08/28 Preliminary a, adot, b, bdot, g, gdot: 0.000001 0.016834 -0.000000 0.000297 0.019308 0.000000 # WARNING Fitting with energy constraint # Chi-squared of fit: 2.88 DOF: 21 RMS: 0.08 # Min/Max residuals: -0.18 0.11 # Exact a, adot, b, bdot, g, gdot: 1.360752E-05 1.590531E-02 3.234215E-07 3.492031E-04 1.911833E-02 2.912739E-03 # Covariance matrix: 5.5940E-13 3.5057E-10 -1.5777E-13 -2.0523E-11 6.5721E-11 4.7776E-09 3.5057E-10 4.6351E-07 -1.9523E-10 -2.7198E-08 8.2968E-08 3.9731E-06 -1.5777E-13 -1.9523E-10 3.0333E-13 8.4419E-12 -3.5259E-11 -1.8950E-09 -2.0523E-11 -2.7198E-08 8.4419E-12 1.6802E-09 -4.8615E-09 -2.2749E-07 6.5721E-11 8.2968E-08 -3.5259E-11 -4.8615E-09 1.4938E-08 7.7201E-07 4.7776E-09 3.9731E-06 -1.8950E-09 -2.2749E-07 7.7201E-07 7.7820E-05 # lat0 lon0 xBary yBary zBary JD0 14.406672 -24.493097 0.489340 0.221411 -0.861508 2457598.860439 # Heliocentric elements and errors Epoch: 2457590.5000 = 2016/07/21 Mean Anomaly: 93.21492 +/- 108.925 Argument of Peri: 331.52949 +/- 81.435 Long of Asc Node: 250.70608 +/- 0.625 Inclination: 14.23687 +/- 0.016 Eccentricity: 0.17747695 +/- 0.4596 Semi-Major Axis: 51.10608379 +/- 11.2902 Time of Perihelion: 2423037.1404 +/- 38719.2 Perihelion: 42.03593176 +/- 25.2587 Aphelion: 60.17623582 +/- 26.9906 Period (y) 365.3567 +/- 121.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 46.70527685 +/- 0.2947 Ecliptic Y -21.81952631 +/- 0.1343 Ecliptic Z 13.01390127 +/- 0.0832 Ecliptic XDOT 0.00130188 +/- 0.0011 Ecliptic YDOT 0.00190342 +/- 0.0005 Ecliptic ZDOT 0.00015220 +/- 0.0003 # Distances at JD0 (AU) Heliocenter to KBO 53.16800016 +/- 0.2655 Geocenter to KBO 52.30581114 +/- 0.3344 # Hcoef: 6.22
The following table shows the complete astrometric record for 16QF165. 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 (16QF165) followed by the observatory code and reference code for the source of the astrometry.
2016 07 29.35965 22 08 15.41 +03 55 49.7 23.0z 16QF165 T09 C~94tX 2016 07 29.37188 22 08 15.38 +03 55 49.7 23.0z 16QF165 T09 C~94tX 2016 07 29.39345 22 08 15.31 +03 55 49.4 23.0z 16QF165 T09 C~94tX 2016 07 29.40423 22 08 15.26 +03 55 49.2 23.1z 16QF165 T09 C~94tX 2016 07 29.41504 22 08 15.23 +03 55 49.2 23.1z 16QF165 T09 C~94tX 2016 08 06.40281 22 07 48.10 +03 54 12.6 23.7r 16QF165 T09 C~94tX 2016 08 06.40707 22 07 48.08 +03 54 12.2 23.9r 16QF165 T09 C~94tX 2016 08 06.40918 22 07 48.07 +03 54 12.4 24.0r 16QF165 T09 C~94tX 2016 08 28.28350 22 06 29.15 +03 47 45.7 23.2i 16QF165 T09 C~94tX 2016 08 28.28962 22 06 29.12 +03 47 45.7 23.3i 16QF165 T09 C~94tX 2016 08 28.30855 22 06 29.06 +03 47 45.4 23.2i 16QF165 T09 C~94tX 2016 08 28.31665 22 06 29.02 +03 47 45.0 22.9i 16QF165 T09 C~94tX 2016 08 28.32210 22 06 29.01 +03 47 45.0 23.1i 16QF165 T09 C~94tX
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 -0.09 0.00 -0.01
2 0.0000 -0.42 0.10 0.16 0.05
3 0.0001 -1.50 0.10 0.26 -0.03
4 0.0001 -2.27 -0.12 0.35 -0.04
5 0.0002 -2.69 0.00 0.51 0.03
6 0.0220 -416.07 0.11 57.83 0.11
7 0.0220 -416.49 -0.08 57.57 -0.18
8 0.0220 -416.56 -0.03 57.81 0.05
9 0.0819 -1657.52 -0.00 126.43 -0.10
10 0.0819 -1657.94 -0.06 126.59 0.06
11 0.0820 -1658.88 0.11 126.64 0.10
12 0.0820 -1659.59 -0.12 126.48 -0.06
13 0.0820 -1659.73 0.07 126.54 -0.00
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.
16QF165 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0