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 Fri Nov 22 02:10:44 2024 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 4.19y # First observation: 2015/07/20 # Last observation: 2019/09/27 Preliminary a, adot, b, bdot, g, gdot: -0.000044 0.026215 0.000035 0.010195 0.026279 0.000000 # Chi-squared of fit: 14.82 DOF: 32 RMS: 0.16 # Min/Max residuals: -0.55 0.28 # Exact a, adot, b, bdot, g, gdot: 1.482294E-05 2.632365E-02 6.449235E-06 1.019241E-02 2.685192E-02 3.332650E-03 # Covariance matrix: 5.9318E-13 -6.6850E-13 2.0277E-13 -2.8478E-13 -1.1218E-13 -5.9461E-12 -6.6850E-13 1.0655E-12 -3.2251E-13 4.4399E-13 6.1395E-13 9.3389E-12 2.0277E-13 -3.2251E-13 3.0890E-13 -2.4360E-13 -1.3276E-13 -3.1710E-12 -2.8478E-13 4.4399E-13 -2.4360E-13 2.8006E-13 1.5992E-13 4.4167E-12 -1.1218E-13 6.1395E-13 -1.3276E-13 1.5992E-13 1.3640E-12 3.5415E-12 -5.9461E-12 9.3389E-12 -3.1710E-12 4.4167E-12 3.5415E-12 9.2500E-11 # lat0 lon0 xBary yBary zBary JD0 3.770482 -7.029125 0.838108 0.038050 -0.575731 2457224.074673 # Heliocentric elements and errors Epoch: 2457220.5000 = 2015/07/17 Mean Anomaly: 48.74083 +/- 0.051 Argument of Peri: 310.19623 +/- 0.080 Long of Asc Node: 342.24675 +/- 0.000 Inclination: 21.56266 +/- 0.001 Eccentricity: 0.11812757 +/- 0.0003 Semi-Major Axis: 40.62704090 +/- 0.0083 Time of Perihelion: 2444414.5541 +/- 12.8 Perihelion: 35.82786739 +/- 0.0158 Aphelion: 45.42621442 +/- 0.0168 Period (y) 258.9590 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 37.34804124 +/- 0.0016 Ecliptic Y -5.44968346 +/- 0.0002 Ecliptic Z 2.44926585 +/- 0.0001 Ecliptic XDOT 0.00059491 +/- 0.0000 Ecliptic YDOT 0.00262439 +/- 0.0000 Ecliptic ZDOT 0.00105939 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 37.82293137 +/- 0.0016 Geocenter to KBO 37.24128174 +/- 0.0016 # Hcoef: 9.17
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 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 0.14 0.00 -0.09 2 0.0001 -1.77 0.10 0.43 -0.15 3 1.0346 4839.14 -0.17 2236.14 -0.55 4 1.0347 4837.90 -0.26 2236.67 -0.26 5 1.0347 4837.29 -0.14 2237.15 0.07 6 1.0347 4837.01 0.02 2237.27 0.10 7 1.0348 4835.62 -0.07 2237.43 -0.01 8 1.0348 4834.47 0.10 2237.82 0.09 9 1.0349 4833.04 -0.03 2237.89 -0.11 10 1.1083 3080.13 -0.09 2489.65 0.25 11 1.1084 3079.01 0.10 2489.70 0.15 12 1.1084 3078.20 -0.20 2489.72 0.12 13 1.1084 3078.28 0.04 2489.90 0.28 14 1.1357 2302.46 0.03 2562.81 0.09 15 1.1359 2297.11 0.13 2563.26 0.05 16 1.1360 2294.59 0.09 2563.47 0.04 17 1.9302 11178.22 0.20 3850.87 0.04 18 4.1880 17073.88 -0.03 8963.91 -0.03 19 4.1881 17072.26 0.05 8963.94 -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 40.943 40.970 40.916 ecceobj 0.122 0.123 0.121 incobj 21.477 21.478 21.477 qmin 35.069 35.134 35.141 qmax 46.857 46.804 46.737 amean 40.842 40.854 40.804 amin 40.500 40.508 40.477 amax 41.202 41.228 41.156 emean 0.121 0.120 0.119 emin 0.104 0.104 0.104 emax 0.138 0.137 0.136 imean 22.181 22.208 22.192 imin 21.477 21.490 21.464 imax 22.793 22.811 22.788 excite_mean 0.396 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 174.9 174.8 175.4 kozaiamp 180.0 180.0 179.9