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: 16QN158
# Created Wed Mar 26 01:10:54 2025
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 4.20y
# First observation: 2015/07/15
# Last observation: 2019/09/27
Preliminary a, adot, b, bdot, g, gdot:
-0.000047 0.026211 0.000028 0.010198 0.026310 0.000000
# Chi-squared of fit: 15.92 DOF: 38 RMS: 0.15
# Min/Max residuals: -0.55 0.28
# Exact a, adot, b, bdot, g, gdot:
1.540619E-05 2.627212E-02 6.660723E-06 1.017287E-02 2.680172E-02 3.358292E-03
# Covariance matrix:
2.5871E-13 -2.6669E-13 5.8526E-14 -1.0439E-13 -1.1500E-14 -2.3869E-12
-2.6669E-13 6.0694E-13 -1.3170E-13 2.2073E-13 5.3802E-13 5.1654E-12
5.8526E-14 -1.3170E-13 1.7701E-13 -1.2442E-13 -8.3131E-14 -1.3592E-12
-1.0439E-13 2.2073E-13 -1.2442E-13 1.5824E-13 1.1190E-13 2.3526E-12
-1.1500E-14 5.3802E-13 -8.3131E-14 1.1190E-13 1.3308E-12 2.8625E-12
-2.3869E-12 5.1654E-12 -1.3592E-12 2.3526E-12 2.8625E-12 5.4392E-11
# lat0 lon0 xBary yBary zBary JD0
3.755234 -6.980384 0.883665 0.033149 -0.503485 2457219.072559
# Heliocentric elements and errors
Epoch: 2457210.5000 = 2015/07/07
Mean Anomaly: 48.70173 +/- 0.047
Argument of Peri: 310.19024 +/- 0.072
Long of Asc Node: 342.24678 +/- 0.000
Inclination: 21.56270 +/- 0.001
Eccentricity: 0.11819659 +/- 0.0003
Semi-Major Axis: 40.62857129 +/- 0.0072
Time of Perihelion: 2444414.1048 +/- 12.0
Perihelion: 35.82641279 +/- 0.0123
Aphelion: 45.43072979 +/- 0.0132
Period (y) 258.9736 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.34500620 +/- 0.0016
Ecliptic Y -5.46281103 +/- 0.0002
Ecliptic Z 2.44395871 +/- 0.0001
Ecliptic XDOT 0.00059611 +/- 0.0000
Ecliptic YDOT 0.00262424 +/- 0.0000
Ecliptic ZDOT 0.00105948 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.82148498 +/- 0.0016
Geocenter to KBO 37.31104251 +/- 0.0016
# Hcoef: 9.14
The following table shows the complete astrometric record for 16QN158. 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 (16QN158) followed by the observatory code and reference code for the source of the astrometry.
2015 07 15.57177 23 28 25.68 +00 40 44.7 24.7r 16QN158 T09 C~8iej 2015 07 15.58216 23 28 25.64 +00 40 44.9 24.9r 16QN158 T09 C~8iej 2015 07 15.59249 23 28 25.63 +00 40 44.7 24.9r 16QN158 T09 C~8iej 2015 07 20.573884 23 28 13.51 +00 40 26.0 16QN158 T09 C~83Ea 2015 07 20.617410 23 28 13.39 +00 40 25.7 16QN158 T09 C~83Ea 2016 08 01.45987 23 32 11.10 +01 46 29.6 24.9z 16QN158 T09 C~83Ea 2016 08 01.48148 23 32 11.01 +01 46 29.6 25.0z 16QN158 T09 C~83Ea 2016 08 01.49500 23 32 10.96 +01 46 29.8 24.5z 16QN158 T09 C~83Ea 2016 08 01.50310 23 32 10.94 +01 46 29.8 24.0z 16QN158 T09 C~83Ea 2016 08 01.52754 23 32 10.85 +01 46 29.4 24.3z 16QN158 T09 C~83Ea 2016 08 01.55200 23 32 10.77 +01 46 29.3 24.7z 16QN158 T09 C~83Ea 2016 08 01.57640 23 32 10.68 +01 46 28.8 24.2z 16QN158 T09 C~83Ea 2016 08 28.39408 23 30 16.67 +01 38 48.9 25.9g 16QN158 T09 C~83Ea 2016 08 28.41119 23 30 16.60 +01 38 48.5 25.5g 16QN158 T09 C~83Ea 2016 08 28.41778 23 30 16.55 +01 38 48.2 25.9g 16QN158 T09 C~83Ea 2016 08 28.41990 23 30 16.55 +01 38 48.4 25.9g 16QN158 T09 C~83Ea 2016 09 07.39090 23 29 27.10 +01 34 49.3 25.2r 16QN158 T09 C~83Ea 2016 09 07.45841 23 29 26.76 +01 34 47.6 24.6r 16QN158 T09 C~83Ea 2016 09 07.48918 23 29 26.60 +01 34 46.8 25.0r 16QN158 T09 C~83Ea 2017 06 24.574465 23 37 56.78 +02 52 44.1 16QN158 T09 C~83Ea 2019 09 27.251196 23 41 43.17 +04 49 06.5 16QN158 T09 C~83Ea 2019 09 27.272128 23 41 43.07 +04 49 05.9 16QN158 T09 C~83Ea
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 0.02 0.00 -0.14
2 0.0000 -0.47 -0.11 0.42 0.16
3 0.0001 -0.69 0.01 0.30 -0.08
4 0.0137 -175.09 0.18 54.90 -0.07
5 0.0138 -176.86 0.14 55.33 -0.13
6 1.0483 4664.10 -0.17 2290.73 -0.55
7 1.0483 4662.86 -0.25 2291.26 -0.26
8 1.0484 4662.25 -0.14 2291.74 0.07
9 1.0484 4661.97 0.02 2291.86 0.10
10 1.0485 4660.57 -0.07 2292.02 -0.01
11 1.0485 4659.43 0.10 2292.40 0.09
12 1.0486 4657.99 -0.03 2292.48 -0.11
13 1.1220 2905.15 -0.09 2544.35 0.25
14 1.1221 2904.03 0.10 2544.40 0.15
15 1.1221 2903.22 -0.20 2544.42 0.12
16 1.1221 2903.30 0.04 2544.60 0.28
17 1.1494 2127.51 0.02 2617.56 0.09
18 1.1496 2122.15 0.12 2618.01 0.05
19 1.1497 2119.63 0.09 2618.22 0.04
20 1.9439 11002.89 0.19 3904.98 0.03
21 4.2017 16898.30 -0.03 9017.33 -0.03
22 4.2018 16896.68 0.05 9017.36 -0.08
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.
16QN158 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 40.944 40.967 40.921 ecceobj 0.122 0.123 0.122 incobj 21.477 21.478 21.477 qmin 34.967 35.056 35.147 qmax 46.898 46.920 46.771 amean 40.851 40.846 40.818 amin 40.515 40.514 40.463 amax 41.222 41.200 41.176 emean 0.122 0.121 0.119 emin 0.106 0.106 0.104 emax 0.140 0.139 0.137 imean 22.160 22.176 22.197 imin 21.445 21.464 21.473 imax 22.796 22.804 22.799 excite_mean 0.397 0.396 0.396 fracstop 1.000 1.000 1.000 cjmean 2.877 2.877 2.877 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 174.9 174.9 175.0 kozaiamp 180.0 180.0 179.9