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: 16GT390
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 13 observations of 13
# Arc: 6.14d
# First observation: 2016/04/02
# Last observation: 2016/04/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.017210 0.000001 -0.005391 0.022547 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 17 iterations -- oscilliatory solution
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 7.60 DOF: 21 RMS: 0.14
# Min/Max residuals: -0.38 0.22
# Exact a, adot, b, bdot, g, gdot:
1.368316E-05 2.031585E-02 -3.174361E-06 -5.380225E-03 2.305871E-02 -7.157479E-03
# Covariance matrix:
1.0446E-10 1.4827E-07 3.3528E-13 5.7427E-10 2.4180E-08 2.4185E-07
1.4827E-07 2.1086E-04 4.7672E-10 8.1671E-07 3.4385E-05 3.4314E-04
3.3528E-13 4.7672E-10 1.8839E-13 -1.0956E-11 7.7747E-11 7.9670E-10
5.7427E-10 8.1671E-07 -1.0956E-11 5.3718E-09 1.3317E-07 1.3045E-06
2.4180E-08 3.4385E-05 7.7747E-11 1.3317E-07 5.6072E-06 5.6040E-05
2.4185E-07 3.4314E-04 7.9670E-10 1.3045E-06 5.6040E-05 8.1490E-04
# lat0 lon0 xBary yBary zBary JD0
1.110319 -176.360084 -0.158050 0.019188 -0.982801 2457480.887349
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 296.53713 +/- 76.581
Argument of Peri: 276.40258 +/- 141.532
Long of Asc Node: 7.95218 +/- 2.958
Inclination: 14.82530 +/- 10.155
Eccentricity: 0.32112062 +/- 1.3086
Semi-Major Axis: 46.51970971 +/- 24.3762
Time of Perihelion: 2477910.6289 +/- 18706.0
Perihelion: 31.58127179 +/- 63.0842
Aphelion: 61.45814763 +/- 68.8683
Period (y) 317.2953 +/- 249.39
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -44.24665006 +/- 4.4437
Ecliptic Y -2.97548139 +/- 0.2823
Ecliptic Z 0.84024005 +/- 0.0863
Ecliptic XDOT 0.00098885 +/- 0.0034
Ecliptic YDOT -0.00236114 +/- 0.0017
Ecliptic ZDOT -0.00065516 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 44.35454356 +/- 4.4330
Geocenter to KBO 43.36755335 +/- 4.4535
# Hcoef: 8.92
The following table shows the complete astrometric record for 16GT390. 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 (16GT390) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38656 12 15 07.48 -00 25 40.8 24.8i 16GT390 T09 C~8HFs 2016 04 02.41462 12 15 07.34 -00 25 40.1 25.2i 16GT390 T09 C~8HFs 2016 04 02.43374 12 15 07.29 -00 25 39.4 25.0i 16GT390 T09 C~8HFs 2016 04 02.46363 12 15 07.13 -00 25 38.8 25.0i 16GT390 T09 C~8HFs 2016 04 02.48823 12 15 07.03 -00 25 38.1 25.0i 16GT390 T09 C~8HFs 2016 04 02.51252 12 15 06.93 -00 25 37.4 25.0i 16GT390 T09 C~8HFs 2016 04 04.34312 12 14 59.02 -00 24 52.7 26.5g 16GT390 T09 C~8HFs 2016 04 04.35952 12 14 58.96 -00 24 52.4 25.9g 16GT390 T09 C~8HFs 2016 04 04.38515 12 14 58.82 -00 24 52.1 26.6g 16GT390 T09 C~8HFs 2016 04 08.50449 12 14 41.22 -00 23 12.8 24.8r 16GT390 T09 C~8HFs 2016 04 08.50945 12 14 41.20 -00 23 12.6 24.9r 16GT390 T09 C~8HFs 2016 04 08.51792 12 14 41.17 -00 23 12.3 24.8r 16GT390 T09 C~8HFs 2016 04 08.52425 12 14 41.14 -00 23 12.3 25.3r 16GT390 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 0.05 0.00 -0.11
2 0.0001 -2.21 -0.17 -0.19 -0.19
3 0.0001 -3.17 0.21 0.15 0.22
4 0.0002 -5.61 -0.12 -0.25 -0.07
5 0.0003 -7.27 -0.04 -0.20 0.07
6 0.0003 -8.92 0.02 -0.15 0.21
7 0.0054 -135.56 -0.01 -6.23 0.10
8 0.0054 -136.51 0.19 -6.31 0.08
9 0.0055 -138.56 -0.06 -6.87 -0.38
10 0.0167 -420.28 -0.02 -20.53 -0.07
11 0.0168 -420.63 -0.04 -20.47 0.01
12 0.0168 -421.16 0.01 -20.37 0.14
13 0.0168 -421.58 0.03 -20.55 -0.02
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.