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: 16QZ158
# Created Tue Apr 1 01:10:51 2025
# Orbit generated from Bernstein formalism
# Fitting 19 observations of 19
# Arc: 0.96y
# First observation: 2016/08/01
# Last observation: 2017/07/19
Preliminary a, adot, b, bdot, g, gdot:
-0.000037 0.016537 0.000008 0.007375 0.019969 0.000000
# Chi-squared of fit: 10.67 DOF: 32 RMS: 0.13
# Min/Max residuals: -0.30 0.48
# Exact a, adot, b, bdot, g, gdot:
1.381288E-05 1.673372E-02 5.425965E-06 7.466867E-03 2.003440E-02 5.038527E-03
# Covariance matrix:
4.4584E-13 1.3075E-12 -5.1185E-14 7.7934E-13 1.3256E-12 1.0635E-10
1.3075E-12 1.8057E-10 -4.1798E-12 7.0638E-11 5.1774E-11 9.8856E-09
-5.1185E-14 -4.1798E-12 2.5059E-13 -1.8286E-12 -1.2547E-12 -2.3084E-10
7.7934E-13 7.0638E-11 -1.8286E-12 2.8259E-11 2.0931E-11 3.8937E-09
1.3256E-12 5.1774E-11 -1.2547E-12 2.0931E-11 1.7754E-11 2.9205E-09
1.0635E-10 9.8856E-09 -2.3084E-10 3.8937E-09 2.9205E-09 5.4467E-07
# lat0 lon0 xBary yBary zBary JD0
2.126911 -5.677678 0.712515 0.026950 -0.722472 2457602.044609
# Heliocentric elements and errors
Epoch: 2457600.5000 = 2016/07/31
Mean Anomaly: 44.87111 +/- 2.089
Argument of Peri: 290.06714 +/- 1.781
Long of Asc Node: 348.82731 +/- 0.003
Inclination: 24.14328 +/- 0.014
Eccentricity: 0.29199943 +/- 0.0425
Semi-Major Axis: 59.52432390 +/- 1.7265
Time of Perihelion: 2436692.8871 +/- 346.1
Perihelion: 42.14325496 +/- 2.8120
Aphelion: 76.90539284 +/- 3.3747
Period (y) 459.2508 +/- 19.98
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 50.28036188 +/- 0.0104
Ecliptic Y -5.71745870 +/- 0.0011
Ecliptic Z 1.85278162 +/- 0.0004
Ecliptic XDOT 0.00087454 +/- 0.0001
Ecliptic YDOT 0.00220424 +/- 0.0000
Ecliptic ZDOT 0.00104523 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 50.63829504 +/- 0.0104
Geocenter to KBO 49.91414215 +/- 0.0105
# Hcoef: 7.59
The following table shows the complete astrometric record for 16QZ158. 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 (16QZ158) followed by the observatory code and reference code for the source of the astrometry.
2016 08 01.54382 23 35 46.98 -00 18 08.1 25.9z 16QZ158 T09 C~86tw 2016 08 01.56009 23 35 46.95 -00 18 08.2 24.8z 16QZ158 T09 C~86tw 2016 08 01.59001 23 35 46.87 -00 18 08.7 25.2z 16QZ158 T09 C~86tw 2016 08 28.38550 23 34 20.52 -00 24 44.0 25.8g 16QZ158 T09 C~86tw 2016 08 28.39619 23 34 20.47 -00 24 44.1 25.7g 16QZ158 T09 C~86tw 2016 08 28.41339 23 34 20.41 -00 24 44.8 25.6g 16QZ158 T09 C~86tw 2016 08 28.41553 23 34 20.39 -00 24 44.3 26.4g 16QZ158 T09 C~86tw 2016 09 05.35046 23 33 50.63 -00 27 14.6 23.7i 16QZ158 T09 C~86tw 2016 09 05.40729 23 33 50.41 -00 27 15.8 23.9i 16QZ158 T09 C~86tw 2016 09 07.43833 23 33 42.63 -00 27 55.6 24.2r 16QZ158 T09 C~86tw 2016 09 07.46935 23 33 42.51 -00 27 56.3 24.1r 16QZ158 T09 C~86tw 2017 06 24.54232 23 39 31.17 +00 29 05.6 24.4i 16QZ158 T09 C~8HHJ 2017 06 24.56112 23 39 31.17 +00 29 05.9 24.1i 16QZ158 T09 C~8HHJ 2017 06 24.59067 23 39 31.16 +00 29 06.1 24.1i 16QZ158 T09 C~8HHJ 2017 06 24.61520 23 39 31.14 +00 29 06.1 24.0i 16QZ158 T09 C~8HHJ 2017 07 19.50009 23 39 05.87 +00 29 31.0 24.1y 16QZ158 T09 C~8HHJ 2017 07 19.52149 23 39 05.78 +00 29 30.8 23.4y 16QZ158 T09 C~8HHJ 2017 07 19.55104 23 39 05.74 +00 29 30.6 23.9y 16QZ158 T09 C~8HHJ 2017 07 19.57811 23 39 05.68 +00 29 30.5 23.8y 16QZ158 T09 C~8HHJ
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 -0.12 0.00 0.10
2 0.0000 -0.45 0.10 0.09 0.08
3 0.0001 -1.75 0.04 0.10 -0.10
4 0.0735 -1347.68 0.11 149.76 -0.07
5 0.0735 -1348.41 0.01 149.96 0.08
6 0.0736 -1349.51 -0.09 149.67 -0.30
7 0.0736 -1349.59 -0.04 150.25 0.27
8 0.0953 -1819.04 -0.01 188.90 0.01
9 0.0955 -1822.55 -0.04 189.11 -0.07
10 0.1010 -1945.48 0.03 198.74 0.04
11 0.1011 -1947.41 0.01 198.81 -0.05
12 0.8953 4210.47 -0.01 1271.31 -0.09
13 0.8953 4210.59 0.11 1271.59 0.05
14 0.8954 4210.53 0.07 1271.83 0.07
15 0.8955 4210.25 -0.20 1271.95 0.01
16 0.9636 3871.90 0.48 1444.86 -0.10
17 0.9637 3870.58 -0.25 1445.21 0.10
18 0.9637 3869.95 -0.05 1445.27 -0.06
19 0.9638 3869.08 -0.16 1445.53 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.
16QZ158 quality flag:1 Type: SCATNEAR SCATNEAR SCATEXTD axisobj 60.075 66.666 56.229 ecceobj 0.293 0.412 0.177 incobj 24.033 23.992 24.074 qmin 41.595 38.311 45.376 qmax 79.080 95.936 67.062 amean 59.868 66.414 56.007 amin 59.228 65.622 55.482 amax 60.649 67.448 56.585 emean 0.288 0.406 0.173 emin 0.274 0.391 0.162 emax 0.304 0.422 0.186 imean 25.025 25.137 24.935 imin 24.688 24.594 24.713 imax 25.387 25.739 25.147 excite_mean 0.512 0.587 0.456 fracstop 1.000 1.000 1.000 cjmean 2.950 2.911 2.973 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 198.0 177.2 190.3 kozaiamp 180.0 180.0 180.0