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: 16GU370
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 26 observations of 26
# Arc: 62.95d
# First observation: 2016/04/02
# Last observation: 2016/06/04
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.031336 -0.000001 -0.003674 0.026340 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 10.20 DOF: 47 RMS: 0.11
# Min/Max residuals: -0.21 0.25
# Exact a, adot, b, bdot, g, gdot:
1.576406E-05 2.602188E-02 -2.262294E-06 -3.897288E-03 2.549093E-02 -5.416686E-03
# Covariance matrix:
1.8439E-13 1.2793E-10 -3.1665E-14 5.4956E-12 2.0088E-11 -2.3859E-09
1.2793E-10 2.5350E-07 -6.5296E-11 1.1189E-08 3.8104E-08 -5.1403E-06
-3.1665E-14 -6.5296E-11 1.0289E-13 -3.4499E-12 -9.7817E-12 1.3336E-09
5.4956E-12 1.1189E-08 -3.4499E-12 5.0563E-10 1.6778E-09 -2.2806E-07
2.0088E-11 3.8104E-08 -9.7817E-12 1.6778E-09 5.7456E-09 -7.6756E-07
-2.3859E-09 -5.1403E-06 1.3336E-09 -2.2806E-07 -7.6756E-07 1.0569E-04
# lat0 lon0 xBary yBary zBary JD0
1.960457 -176.310016 -0.157191 0.033773 -0.982546 2457480.887349
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 316.17934 +/- 15.849
Argument of Peri: 234.43726 +/- 31.991
Long of Asc Node: 16.49274 +/- 0.296
Inclination: 8.71832 +/- 0.199
Eccentricity: 0.23831853 +/- 0.4078
Semi-Major Axis: 46.58319039 +/- 10.9423
Time of Perihelion: 2471616.2433 +/- 1153.5
Perihelion: 35.48155290 +/- 20.7432
Aphelion: 57.68482787 +/- 23.3328
Period (y) 317.9450 +/- 112.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -40.10010318 +/- 0.1163
Ecliptic Y -2.74605764 +/- 0.0075
Ecliptic Z 1.34197013 +/- 0.0040
Ecliptic XDOT 0.00074592 +/- 0.0011
Ecliptic YDOT -0.00275957 +/- 0.0000
Ecliptic ZDOT -0.00043824 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.21641445 +/- 0.1160
Geocenter to KBO 39.22964044 +/- 0.1167
# Hcoef: 8.33
The following table shows the complete astrometric record for 16GU370. 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 (16GU370) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38656 12 16 39.50 +00 19 56.7 23.7i 16GU370 T09 C~8COU 2016 04 02.40035 12 16 39.42 +00 19 57.2 23.8i 16GU370 T09 C~8COU 2016 04 02.41462 12 16 39.36 +00 19 57.5 23.7i 16GU370 T09 C~8COU 2016 04 02.43920 12 16 39.25 +00 19 58.2 23.8i 16GU370 T09 C~8COU 2016 04 02.46633 12 16 39.12 +00 19 58.9 23.9i 16GU370 T09 C~8COU 2016 04 02.47448 12 16 39.08 +00 19 59.2 23.9i 16GU370 T09 C~8COU 2016 04 02.49902 12 16 38.97 +00 19 59.7 23.9i 16GU370 T09 C~8COU 2016 04 02.52059 12 16 38.86 +00 20 00.4 23.6i 16GU370 T09 C~8COU 2016 04 04.34312 12 16 30.42 +00 20 50.0 25.6g 16GU370 T09 C~8COU 2016 04 04.35452 12 16 30.38 +00 20 50.0 25.4g 16GU370 T09 C~8COU 2016 04 04.36588 12 16 30.33 +00 20 50.3 25.3g 16GU370 T09 C~8COU 2016 04 04.38727 12 16 30.22 +00 20 51.0 25.2g 16GU370 T09 C~8COU 2016 04 04.39376 12 16 30.20 +00 20 51.3 25.4g 16GU370 T09 C~8COU 2016 04 04.41084 12 16 30.11 +00 20 51.6 25.5g 16GU370 T09 C~8COU 2016 04 04.41295 12 16 30.10 +00 20 52.0 25.2g 16GU370 T09 C~8COU 2016 04 15.39732 12 15 40.83 +00 25 34.9 24.2y 16GU370 T09 C~8COV 2016 04 15.41093 12 15 40.75 +00 25 35.6 24.1y 16GU370 T09 C~8COV 2016 04 15.43760 12 15 40.65 +00 25 36.1 24.8y 16GU370 T09 C~8COV 2016 04 15.45396 12 15 40.56 +00 25 36.7 23.5y 16GU370 T09 C~8COV 2016 06 04.25886 12 13 16.72 +00 37 19.6 24.0z 16GU370 T09 C~8COV 2016 06 04.27580 12 13 16.69 +00 37 19.6 23.7z 16GU370 T09 C~8COV 2016 06 04.28656 12 13 16.68 +00 37 19.4 23.7z 16GU370 T09 C~8COV 2016 06 04.30275 12 13 16.66 +00 37 19.6 24.1z 16GU370 T09 C~8COV 2016 06 04.31085 12 13 16.66 +00 37 19.4 24.2z 16GU370 T09 C~8COV 2016 06 04.32438 12 13 16.65 +00 37 19.4 23.9z 16GU370 T09 C~8COV 2016 06 04.34057 12 13 16.63 +00 37 19.4 23.9z 16GU370 T09 C~8COV
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 0.08 0.00 -0.03
2 0.0000 -1.30 -0.17 -0.02 -0.01
3 0.0001 -2.24 -0.03 -0.10 -0.04
4 0.0001 -4.04 0.04 -0.11 0.02
5 0.0002 -6.10 0.04 -0.24 -0.02
6 0.0002 -6.77 -0.01 -0.21 0.04
7 0.0003 -8.49 0.14 -0.40 -0.08
8 0.0004 -10.28 -0.02 -0.41 -0.02
9 0.0054 -146.17 -0.21 -5.14 0.08
10 0.0054 -146.72 0.10 -5.38 -0.12
11 0.0054 -147.52 0.15 -5.40 -0.10
12 0.0055 -149.32 -0.03 -5.42 -0.04
13 0.0055 -149.71 0.07 -5.26 0.13
14 0.0055 -151.07 -0.00 -5.52 -0.07
15 0.0055 -151.36 -0.14 -5.21 0.24
16 0.0356 -941.98 0.25 -38.91 -0.16
17 0.0357 -943.36 -0.17 -38.75 0.06
18 0.0357 -944.94 0.13 -38.88 0.02
19 0.0358 -946.41 -0.20 -38.87 0.10
20 0.1721 -3205.94 -0.01 -250.02 0.18
21 0.1722 -3206.36 -0.15 -250.20 0.09
22 0.1722 -3206.42 -0.04 -250.44 -0.09
23 0.1723 -3206.77 -0.14 -250.38 0.06
24 0.1723 -3206.69 0.07 -250.56 -0.08
25 0.1723 -3206.83 0.14 -250.62 -0.07
26 0.1724 -3207.10 0.12 -250.74 -0.10
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.