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: 16GS391
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 13.05d
# First observation: 2016/04/02
# Last observation: 2016/04/15
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.027028 0.000000 -0.000459 0.024830 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 7.14 DOF: 21 RMS: 0.13
# Min/Max residuals: -0.23 0.32
# Exact a, adot, b, bdot, g, gdot:
1.457239E-05 2.175960E-02 2.914271E-08 -5.060749E-04 2.397946E-02 -8.896575E-03
# Covariance matrix:
1.3542E-11 1.7803E-08 -5.2212E-14 1.5751E-10 2.9668E-09 1.0486E-08
1.7803E-08 2.3801E-05 -7.0133E-11 2.1057E-07 3.9626E-06 1.0976E-05
-5.2212E-14 -7.0133E-11 1.8947E-13 -6.7513E-12 -1.1660E-11 -9.9488E-12
1.5751E-10 2.1057E-07 -6.7513E-12 2.3565E-09 3.5055E-08 9.2366E-08
2.9668E-09 3.9626E-06 -1.1660E-11 3.5055E-08 6.5985E-07 1.9724E-06
1.0486E-08 1.0976E-05 -9.9488E-12 9.2366E-08 1.9724E-06 1.9649E-04
# lat0 lon0 xBary yBary zBary JD0
1.797103 -176.992276 -0.169065 0.030908 -0.980670 2457480.897709
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 298.20455 +/- 66.586
Argument of Peri: 233.17019 +/- 57.163
Long of Asc Node: 55.66315 +/- 8.614
Inclination: 2.21477 +/- 0.257
Eccentricity: 0.37591821 +/- 0.5630
Semi-Major Axis: 44.68179291 +/- 23.4450
Time of Perihelion: 2476206.6407 +/- 13781.0
Perihelion: 27.88509314 +/- 29.1027
Aphelion: 61.47849267 +/- 40.9083
Period (y) 298.6786 +/- 235.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -42.59909533 +/- 1.4100
Ecliptic Y -2.41003643 +/- 0.0740
Ecliptic Z 1.30781968 +/- 0.0443
Ecliptic XDOT 0.00114252 +/- 0.0016
Ecliptic YDOT -0.00243478 +/- 0.0005
Ecliptic ZDOT -0.00008960 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 42.68725326 +/- 1.4071
Geocenter to KBO 41.70235156 +/- 1.4127
# Hcoef: 8.02
The following table shows the complete astrometric record for 16GS391. 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 (16GS391) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.39692 12 13 53.73 +00 27 11.8 23.8i 16GS391 T09 C~8HFu 2016 04 02.49633 12 13 53.28 +00 27 14.5 23.7i 16GS391 T09 C~8HFu 2016 04 02.49902 12 13 53.29 +00 27 14.5 23.7i 16GS391 T09 C~8HFu 2016 04 02.52059 12 13 53.17 +00 27 15.4 23.7i 16GS391 T09 C~8HFu 2016 04 04.34312 12 13 45.19 +00 28 05.9 25.0g 16GS391 T09 C~8HFu 2016 04 04.35168 12 13 45.14 +00 28 06.1 25.3g 16GS391 T09 C~8HFu 2016 04 04.36588 12 13 45.08 +00 28 06.4 25.5g 16GS391 T09 C~8HFu 2016 04 04.39376 12 13 44.96 +00 28 07.3 25.2g 16GS391 T09 C~8HFu 2016 04 04.41084 12 13 44.89 +00 28 07.8 25.4g 16GS391 T09 C~8HFu 2016 04 15.35150 12 12 58.37 +00 32 57.4 23.7y 16GS391 T09 C~8HFu 2016 04 15.37454 12 12 58.28 +00 32 57.7 23.6y 16GS391 T09 C~8HFu 2016 04 15.40815 12 12 58.17 +00 32 58.7 23.5y 16GS391 T09 C~8HFu 2016 04 15.45127 12 12 57.96 +00 32 59.7 23.6y 16GS391 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 -0.05 0.00 -0.07
2 0.0003 -7.27 -0.07 -0.20 -0.16
3 0.0003 -7.13 0.26 -0.14 -0.10
4 0.0003 -9.14 -0.18 -0.03 0.04
5 0.0053 -139.05 0.06 -1.24 0.12
6 0.0054 -139.81 -0.09 -1.35 0.02
7 0.0054 -140.76 -0.01 -1.43 -0.05
8 0.0055 -142.77 -0.00 -1.32 0.10
9 0.0055 -143.93 0.07 -1.28 0.16
10 0.0355 -899.33 -0.23 -12.68 0.06
11 0.0355 -900.69 -0.03 -12.94 -0.16
12 0.0356 -902.60 0.32 -12.68 0.16
13 0.0357 -905.89 -0.06 -13.01 -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.