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: 16GR391
# Created Sun Oct 19 01:11:28 2025
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 1.08y
# First observation: 2015/03/18
# Last observation: 2016/04/15
Preliminary a, adot, b, bdot, g, gdot:
0.000020 0.036379 -0.000000 0.007239 0.027967 0.000000
# Chi-squared of fit: 9.49 DOF: 38 RMS: 0.12
# Min/Max residuals: -0.37 0.24
# Exact a, adot, b, bdot, g, gdot:
1.985950E-05 3.620641E-02 3.873324E-06 7.210231E-03 2.771449E-02 -4.439604E-03
# Covariance matrix:
4.9391E-13 4.8727E-12 -1.6191E-14 1.1318E-12 3.5062E-12 1.4576E-10
4.8727E-12 1.3116E-10 -4.2604E-13 2.9826E-11 7.7253E-11 3.8436E-09
-1.6191E-14 -4.2604E-13 2.5275E-13 -3.3636E-13 -2.4638E-13 -1.2560E-11
1.1318E-12 2.9826E-11 -3.3636E-13 7.1328E-12 1.7230E-11 8.7948E-10
3.5062E-12 7.7253E-11 -2.4638E-13 1.7230E-11 5.1172E-11 2.2192E-09
1.4576E-10 3.8436E-09 -1.2560E-11 8.7948E-10 2.2192E-09 1.1334E-07
# lat0 lon0 xBary yBary zBary JD0
1.503317 -178.252443 0.075743 0.026079 -0.988918 2457099.995558
# Heliocentric elements and errors
Epoch: 2457090.5000 = 2015/03/09
Mean Anomaly: 357.85562 +/- 0.151
Argument of Peri: 24.27042 +/- 1.196
Long of Asc Node: 174.31250 +/- 0.001
Inclination: 11.33987 +/- 0.001
Eccentricity: 0.70054404 +/- 0.0045
Semi-Major Axis: 121.62674414 +/- 1.5418
Time of Perihelion: 2460008.8696 +/- 197.9
Perihelion: 36.42185384 +/- 0.7158
Aphelion: 206.83163444 +/- 2.6783
Period (y) 1341.3800 +/- 25.51
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.04722902 +/- 0.0093
Ecliptic Y -1.05472302 +/- 0.0003
Ecliptic Z 0.94676824 +/- 0.0002
Ecliptic XDOT 0.00056256 +/- 0.0000
Ecliptic YDOT -0.00356692 +/- 0.0000
Ecliptic ZDOT 0.00070062 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.07433059 +/- 0.0093
Geocenter to KBO 36.08221392 +/- 0.0093
# Hcoef: 8.66
The following table shows the complete astrometric record for 16GR391. 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 (16GR391) followed by the observatory code and reference code for the source of the astrometry.
2015 03 18.49478 12 08 48.28 +00 41 03.6 24.2r 16GR391 T09 C~94sd 2015 03 18.50552 12 08 48.21 +00 41 03.9 24.1r 16GR391 T09 C~94sd 2015 03 18.57964 12 08 47.86 +00 41 06.6 24.1r 16GR391 T09 C~94sd 2015 03 29.26630 12 07 58.01 +00 47 18.2 23.8y 16GR391 T09 C~94sd 2015 03 29.27727 12 07 57.95 +00 47 18.6 23.9y 16GR391 T09 C~94sd 2015 03 29.36170 12 07 57.55 +00 47 21.4 24.0y 16GR391 T09 C~94sd 2016 04 02.38656 12 15 54.47 +00 23 07.9 23.7i 16GR391 T09 C~8HFu 2016 04 02.41462 12 15 54.34 +00 23 08.7 23.9i 16GR391 T09 C~8HFu 2016 04 02.43920 12 15 54.22 +00 23 09.7 23.9i 16GR391 T09 C~8HFu 2016 04 02.46633 12 15 54.10 +00 23 10.8 24.0i 16GR391 T09 C~8HFu 2016 04 02.47448 12 15 54.06 +00 23 10.9 24.0i 16GR391 T09 C~8HFu 2016 04 02.52059 12 15 53.84 +00 23 12.4 23.8i 16GR391 T09 C~8HFu 2016 04 04.34312 12 15 45.47 +00 24 13.9 25.2g 16GR391 T09 C~8HFu 2016 04 04.36588 12 15 45.37 +00 24 14.6 25.3g 16GR391 T09 C~8HFu 2016 04 04.39376 12 15 45.22 +00 24 15.6 25.4g 16GR391 T09 C~8HFu 2016 04 04.41084 12 15 45.14 +00 24 16.3 25.1g 16GR391 T09 C~8HFu 2016 04 15.35150 12 14 56.56 +00 30 09.2 24.4y 16GR391 T09 C~8HFu 2016 04 15.36307 12 14 56.50 +00 30 09.8 23.7y 16GR391 T09 C~8HFu 2016 04 15.37454 12 14 56.43 +00 30 10.4 23.9y 16GR391 T09 C~8HFu 2016 04 15.41093 12 14 56.29 +00 30 11.1 23.7y 16GR391 T09 C~8HFu 2016 04 15.45396 12 14 56.10 +00 30 12.8 23.5y 16GR391 T09 C~8HFu 2016 04 15.45934 12 14 56.09 +00 30 12.6 24.4y 16GR391 T09 C~8HFu
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 0.16 0.00 0.05
2 0.0000 -1.08 -0.07 -0.14 -0.13
3 0.0002 -6.97 -0.10 0.25 -0.03
4 0.0295 -840.77 0.08 43.93 0.09
5 0.0295 -841.76 -0.05 43.94 0.06
6 0.0298 -848.38 -0.03 44.13 -0.04
7 1.0428 6295.04 -0.04 1556.31 -0.03
8 1.0429 6292.93 0.05 1556.27 -0.15
9 1.0430 6290.88 -0.07 1556.47 -0.02
10 1.0430 6288.79 -0.03 1556.77 0.19
11 1.0431 6288.20 0.02 1556.62 0.02
12 1.0432 6284.57 0.00 1556.68 -0.06
13 1.0482 6144.79 0.09 1563.14 0.00
14 1.0482 6143.14 0.21 1563.18 -0.02
15 1.0483 6140.67 -0.09 1563.20 -0.08
16 1.0484 6139.29 -0.14 1563.37 0.04
17 1.0783 5329.72 0.24 1597.14 -0.13
18 1.0784 5328.65 0.01 1597.33 0.04
19 1.0784 5327.45 -0.37 1597.46 0.15
20 1.0785 5325.24 0.05 1597.27 -0.13
21 1.0786 5321.95 -0.14 1597.69 0.20
22 1.0786 5321.89 0.19 1597.45 -0.05
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.
16GR391 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 117.458 120.134 115.593 ecceobj 0.690 0.698 0.683 incobj 11.380 11.379 11.382 qmin 34.947 34.679 35.394 qmax 214.145 232.140 209.444 amean 119.202 127.268 117.622 amin 114.784 120.133 114.467 amax 125.300 134.215 123.044 emean 0.696 0.716 0.688 emin 0.679 0.696 0.677 emax 0.711 0.731 0.702 imean 10.052 10.227 10.999 imin 9.237 9.306 10.376 imax 10.948 11.126 12.048 excite_mean 0.717 0.738 0.714 fracstop 1.000 1.000 1.000 cjmean 3.067 3.059 3.070 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 145.9 143.9 82.3 kozaiamp 122.0 103.5 76.9