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 Wed Jul 17 01:11:22 2024
# Orbit generated from Bernstein formalism
# Fitting 11 observations of 11
# Arc: 36.93d
# First observation: 2016/08/01
# Last observation: 2016/09/07
Preliminary a, adot, b, bdot, g, gdot:
0.000001 0.018269 -0.000001 0.007473 0.020400 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 4.11 DOF: 17 RMS: 0.11
# Min/Max residuals: -0.28 0.28
# Exact a, adot, b, bdot, g, gdot:
1.373278E-05 1.656671E-02 5.574321E-06 7.466344E-03 1.999985E-02 2.550713E-03
# Covariance matrix:
9.2975E-13 5.9828E-10 -6.8224E-14 -4.9213E-12 1.2636E-10 9.7835E-09
5.9828E-10 8.1150E-07 -8.8760E-11 -7.2890E-09 1.6842E-07 1.2225E-05
-6.8224E-14 -8.8760E-11 4.6591E-13 -4.4756E-12 -1.8520E-11 -1.3986E-09
-4.9213E-12 -7.2890E-09 -4.4756E-12 1.6006E-10 -1.4909E-09 -9.5938E-08
1.2636E-10 1.6842E-07 -1.8520E-11 -1.4909E-09 3.5005E-08 2.5678E-06
9.7835E-09 1.2225E-05 -1.3986E-09 -9.5938E-08 2.5678E-06 2.0337E-04
# 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: 51.62412 +/- 41.655
Argument of Peri: 298.60226 +/- 99.027
Long of Asc Node: 348.88364 +/- 0.312
Inclination: 24.39664 +/- 1.416
Eccentricity: 0.14809892 +/- 0.7987
Semi-Major Axis: 54.92718236 +/- 17.1943
Time of Perihelion: 2436278.4212 +/- 13991.4
Perihelion: 46.79252574 +/- 46.2536
Aphelion: 63.06183897 +/- 48.1096
Period (y) 407.0888 +/- 191.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 50.36611949 +/- 0.4651
Ecliptic Y -5.72598753 +/- 0.0463
Ecliptic Z 1.85599014 +/- 0.0174
Ecliptic XDOT 0.00053513 +/- 0.0019
Ecliptic YDOT 0.00221898 +/- 0.0001
Ecliptic ZDOT 0.00103433 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 50.72452686 +/- 0.4619
Geocenter to KBO 50.00038253 +/- 0.4677
# Hcoef: 7.95
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
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 -0.13 0.00 0.07
2 0.0000 -0.45 0.09 0.09 0.05
3 0.0001 -1.75 0.04 0.10 -0.13
4 0.0735 -1347.68 0.11 149.76 -0.05
5 0.0735 -1348.41 0.01 149.96 0.10
6 0.0736 -1349.51 -0.08 149.67 -0.28
7 0.0736 -1349.59 -0.03 150.25 0.28
8 0.0953 -1819.04 -0.01 188.90 0.02
9 0.0955 -1822.55 -0.04 189.11 -0.06
10 0.1010 -1945.48 0.03 198.74 0.05
11 0.1011 -1947.41 0.01 198.81 -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.