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: 16GW390
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 6.14d
# First observation: 2016/04/02
# Last observation: 2016/04/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.040093 -0.000001 0.000833 0.027770 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 3.43 DOF: 19 RMS: 0.09
# Min/Max residuals: -0.18 0.20
# Exact a, adot, b, bdot, g, gdot:
1.591083E-05 2.587630E-02 -3.284297E-08 7.305393E-04 2.546974E-02 1.014759E-03
# Covariance matrix:
3.4100E-11 5.3668E-08 1.4892E-13 3.8523E-10 8.6926E-09 -1.1785E-07
5.3668E-08 8.5105E-05 2.3597E-10 6.1062E-07 1.3777E-05 -1.9609E-04
1.4892E-13 2.3597E-10 2.2041E-13 -1.3486E-11 3.8209E-11 -5.1777E-10
3.8523E-10 6.1062E-07 -1.3486E-11 6.7500E-09 9.8857E-08 -1.3892E-06
8.6926E-09 1.3777E-05 3.8209E-11 9.8857E-08 2.2306E-06 -3.1006E-05
-1.1785E-07 -1.9609E-04 -5.1777E-10 -1.3892E-06 -3.1006E-05 2.5134E-03
# lat0 lon0 xBary yBary zBary JD0
1.965094 -176.599055 -0.162148 0.033824 -0.981738 2457480.887349
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 33.21344 +/- 77.391
Argument of Peri: 11.79390 +/- 311.965
Long of Asc Node: 133.62744 +/- 8.641
Inclination: 2.50147 +/- 0.320
Eccentricity: 0.07399208 +/- 1.1352
Semi-Major Axis: 42.82169806 +/- 21.3335
Time of Perihelion: 2448037.5942 +/- 328981.8
Perihelion: 39.65323136 +/- 52.4701
Aphelion: 45.99016476 +/- 53.7384
Period (y) 280.2232 +/- 209.41
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -40.14478173 +/- 2.2969
Ecliptic Y -2.55058576 +/- 0.1363
Ecliptic Z 1.34634978 +/- 0.0789
Ecliptic XDOT 0.00005898 +/- 0.0054
Ecliptic YDOT -0.00278994 +/- 0.0007
Ecliptic ZDOT 0.00008223 +/- 0.0002
# Distances at JD0 (AU)
Heliocenter to KBO 40.24825021 +/- 2.2910
Geocenter to KBO 39.26227329 +/- 2.3023
# Hcoef: 9.00
The following table shows the complete astrometric record for 16GW390. 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 (16GW390) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38656 12 15 36.31 +00 27 04.9 24.5i 16GW390 T09 C~8HFs 2016 04 02.41462 12 15 36.18 +00 27 05.5 24.4i 16GW390 T09 C~8HFs 2016 04 02.47448 12 15 35.89 +00 27 07.5 24.5i 16GW390 T09 C~8HFs 2016 04 02.49902 12 15 35.77 +00 27 08.1 24.3i 16GW390 T09 C~8HFs 2016 04 02.52059 12 15 35.68 +00 27 08.6 24.2i 16GW390 T09 C~8HFs 2016 04 04.34312 12 15 27.39 +00 28 02.6 25.9g 16GW390 T09 C~8HFs 2016 04 04.36588 12 15 27.28 +00 28 03.4 25.8g 16GW390 T09 C~8HFs 2016 04 04.41084 12 15 27.07 +00 28 04.6 26.1g 16GW390 T09 C~8HFs 2016 04 08.50449 12 15 08.63 +00 30 02.9 24.9r 16GW390 T09 C~8HFs 2016 04 08.50734 12 15 08.62 +00 30 03.0 25.1r 16GW390 T09 C~8HFs 2016 04 08.51156 12 15 08.59 +00 30 03.2 25.0r 16GW390 T09 C~8HFs 2016 04 08.52637 12 15 08.53 +00 30 03.5 25.0r 16GW390 T09 C~8HFs
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 0.03 0.00 0.10
2 0.0001 -2.03 0.14 -0.22 -0.11
3 0.0002 -6.81 -0.10 -0.12 0.04
4 0.0003 -8.70 -0.13 -0.28 -0.12
5 0.0004 -10.14 0.06 -0.36 -0.18
6 0.0054 -145.71 0.07 -0.17 0.11
7 0.0054 -147.54 -0.05 -0.09 0.20
8 0.0055 -150.91 -0.03 -0.24 0.08
9 0.0167 -451.73 0.03 -1.50 -0.04
10 0.0168 -451.91 0.06 -1.46 -0.01
11 0.0168 -452.40 -0.12 -1.46 0.00
12 0.0168 -453.35 0.02 -1.54 -0.07
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.