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: 16GZ369 # Created Tue Apr 1 01:10:47 2025 # Orbit generated from Bernstein formalism # Fitting 16 observations of 16 # Arc: 89.82d # First observation: 2016/03/07 # Last observation: 2016/06/05 Preliminary a, adot, b, bdot, g, gdot: -0.000032 0.027705 0.000002 -0.004034 0.025884 0.000000 # Chi-squared of fit: 12.68 DOF: 26 RMS: 0.16 # Min/Max residuals: -0.32 0.37 # Exact a, adot, b, bdot, g, gdot: 1.698288E-05 2.770615E-02 -3.427805E-06 -4.026428E-03 2.587668E-02 -6.412644E-03 # Covariance matrix: 2.9332E-13 5.6197E-13 -1.1391E-14 -8.2605E-14 8.5344E-13 1.0547E-10 5.6197E-13 4.3449E-09 -1.8790E-11 4.8857E-11 7.6493E-10 -4.3595E-10 -1.1391E-14 -1.8790E-11 2.9271E-13 -1.2753E-12 -3.3452E-12 -3.7021E-12 -8.2605E-14 4.8857E-11 -1.2753E-12 1.0215E-11 7.9206E-12 -1.3554E-10 8.5344E-13 7.6493E-10 -3.3452E-12 7.9206E-12 1.3888E-10 6.5486E-10 1.0547E-10 -4.3595E-10 -3.7021E-12 -1.3554E-10 6.5486E-10 1.3670E-07 # lat0 lon0 xBary yBary zBary JD0 11.591773 -150.910851 0.662187 0.147832 -0.719997 2457455.097699 # Heliocentric elements and errors Epoch: 2457450.5000 = 2016/03/03 Mean Anomaly: 328.47909 +/- 0.665 Argument of Peri: 185.28431 +/- 1.512 Long of Asc Node: 82.10999 +/- 0.075 Inclination: 13.96274 +/- 0.013 Eccentricity: 0.32801830 +/- 0.0135 Semi-Major Axis: 51.33660762 +/- 0.5480 Time of Perihelion: 2469213.9708 +/- 161.5 Perihelion: 34.49726101 +/- 0.7826 Aphelion: 68.17595423 +/- 1.0032 Period (y) 367.8315 +/- 5.89 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.04928182 +/- 0.0151 Ecliptic Y -18.18589293 +/- 0.0084 Ecliptic Z 7.76507772 +/- 0.0035 Ecliptic XDOT 0.00193104 +/- 0.0000 Ecliptic YDOT -0.00228713 +/- 0.0000 Ecliptic ZDOT -0.00055364 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.37482350 +/- 0.0136 Geocenter to KBO 38.64483679 +/- 0.0176 # Hcoef: 9.49
The following table shows the complete astrometric record for 16GZ369. 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 (16GZ369) followed by the observatory code and reference code for the source of the astrometry.
2016 03 07.59691 14 04 29.72 -00 17 29.2 26.6g 16GZ369 T09 C~89Tf 2016 03 07.60702 14 04 29.70 -00 17 28.8 26.1g 16GZ369 T09 C~89Tf 2016 03 07.61343 14 04 29.66 -00 17 29.0 25.8g 16GZ369 T09 C~89Tf 2016 03 07.62907 14 04 29.61 -00 17 28.7 25.9g 16GZ369 T09 C~89Tf 2016 03 07.64412 14 04 29.56 -00 17 28.3 26.5g 16GZ369 T09 C~89Tf 2016 04 11.43756 14 02 09.11 -00 00 59.3 25.1i 16GZ369 T09 C~89Tf 2016 04 11.48411 14 02 08.89 -00 00 58.0 25.0i 16GZ369 T09 C~89Tf 2016 04 11.50575 14 02 08.77 -00 00 57.1 24.9i 16GZ369 T09 C~89Tf 2016 04 11.52732 14 02 08.69 -00 00 57.0 24.8i 16GZ369 T09 C~89Tf 2016 04 11.53272 14 02 08.67 -00 00 56.6 24.8i 16GZ369 T09 C~89Tf 2016 04 11.55443 14 02 08.55 -00 00 56.0 24.8i 16GZ369 T09 C~89Tf 2016 06 05.37008 13 58 08.21 +00 13 37.2 25.4r 16GZ369 T09 C~89Tf 2016 06 05.38217 13 58 08.20 +00 13 37.5 25.6r 16GZ369 T09 C~89Tf 2016 06 05.38431 13 58 08.18 +00 13 37.2 25.5r 16GZ369 T09 C~89Tf 2016 06 05.39709 13 58 08.13 +00 13 37.5 25.1r 16GZ369 T09 C~89Tf 2016 06 05.41411 13 58 08.09 +00 13 37.5 25.6r 16GZ369 T09 C~89Tf
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 -0.01 0.00 0.20 2 0.0000 -0.42 0.11 0.27 0.37 3 0.0000 -0.91 -0.04 -0.13 -0.09 4 0.0001 -1.72 -0.01 -0.10 -0.22 5 0.0001 -2.56 -0.05 0.01 -0.26 6 0.0954 -2321.81 -0.02 194.98 -0.13 7 0.0955 -2325.36 0.02 195.05 -0.05 8 0.0956 -2327.36 -0.32 195.27 0.17 9 0.0956 -2328.52 0.18 194.95 -0.15 10 0.0956 -2328.94 0.18 195.22 0.12 11 0.0957 -2330.84 -0.05 195.16 0.05 12 0.2458 -6016.24 -0.18 -239.46 -0.22 13 0.2458 -6016.49 0.14 -239.23 0.20 14 0.2458 -6016.67 0.07 -239.62 -0.16 15 0.2459 -6017.47 -0.14 -239.60 0.06 16 0.2459 -6018.04 0.11 -239.80 0.12
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.
16GZ369 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 50.585 52.044 49.320 ecceobj 0.322 0.354 0.292 incobj 13.974 13.958 13.993 qmin 32.751 32.037 33.783 qmax 71.875 81.158 66.048 amean 51.051 54.260 49.199 amin 49.384 51.651 48.327 amax 52.560 57.222 50.243 emean 0.338 0.385 0.293 emin 0.313 0.350 0.275 emax 0.368 0.427 0.317 imean 10.432 10.881 11.606 imin 8.705 8.893 10.700 imax 12.588 12.717 12.747 excite_mean 0.383 0.429 0.356 fracstop 1.000 1.000 1.000 cjmean 3.001 2.988 3.006 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 182.7 177.4 181.7 kozaiamp 180.0 180.0 179.9