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: 16GT392
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 12 observations of 12
# Arc: 6.15d
# First observation: 2016/04/02
# Last observation: 2016/04/08
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.035924 -0.000000 -0.000484 0.024320 0.000000
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 4.91 DOF: 19 RMS: 0.11
# Min/Max residuals: -0.25 0.22
# Exact a, adot, b, bdot, g, gdot:
1.427570E-05 2.021176E-02 -3.825243E-07 -5.123597E-04 2.177864E-02 4.133542E-03
# Covariance matrix:
6.8580E-11 9.2999E-08 1.4322E-13 1.6701E-10 1.5041E-08 -2.1761E-07
9.2999E-08 1.2650E-04 1.9478E-10 2.2715E-07 2.0455E-05 -2.9716E-04
1.4322E-13 1.9478E-10 1.8783E-13 -1.2830E-11 3.1497E-11 -4.5526E-10
1.6701E-10 2.2715E-07 -1.2830E-11 3.0775E-09 3.6730E-08 -5.3692E-07
1.5041E-08 2.0455E-05 3.1497E-11 3.6730E-08 3.3077E-06 -4.7933E-05
-2.1761E-07 -2.9716E-04 -4.5526E-10 -5.3692E-07 -4.7933E-05 1.0862E-03
# lat0 lon0 xBary yBary zBary JD0
0.476812 -176.179622 -0.154776 0.008326 -0.983470 2457480.877079
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 58.71106 +/- 116.263
Argument of Peri: 79.66259 +/- 273.177
Long of Asc Node: 21.86945 +/- 9.992
Inclination: 1.52189 +/- 0.825
Eccentricity: 0.21522863 +/- 1.5127
Semi-Major Axis: 50.56882518 +/- 26.1157
Time of Perihelion: 2436059.4790 +/- 39038.6
Perihelion: 39.68496617 +/- 79.1915
Aphelion: 61.45268419 +/- 82.8159
Period (y) 359.6106 +/- 278.58
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -46.78765420 +/- 3.8258
Ecliptic Y -3.28191794 +/- 0.2551
Ecliptic Z 0.38211418 +/- 0.0319
Ecliptic XDOT -0.00034960 +/- 0.0042
Ecliptic YDOT -0.00257687 +/- 0.0010
Ecliptic ZDOT -0.00006008 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 46.90417447 +/- 3.8163
Geocenter to KBO 45.91654074 +/- 3.8344
# Hcoef: 9.09
The following table shows the complete astrometric record for 16GT392. 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 (16GT392) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.37629 12 14 46.87 -01 04 51.9 24.8i 16GT392 T09 C~8Mck 2016 04 02.43106 12 14 46.64 -01 04 50.6 24.8i 16GT392 T09 C~8Mck 2016 04 02.43374 12 14 46.62 -01 04 50.6 25.5i 16GT392 T09 C~8Mck 2016 04 02.45821 12 14 46.53 -01 04 49.7 25.1i 16GT392 T09 C~8Mck 2016 04 02.50441 12 14 46.35 -01 04 48.4 25.9i 16GT392 T09 C~8Mck 2016 04 02.51252 12 14 46.32 -01 04 48.4 25.6i 16GT392 T09 C~8Mck 2016 04 04.33458 12 14 39.07 -01 04 02.2 26.4g 16GT392 T09 C~8Mck 2016 04 04.35952 12 14 38.96 -01 04 01.5 25.8g 16GT392 T09 C~8Mck 2016 04 04.40435 12 14 38.79 -01 04 00.2 26.5g 16GT392 T09 C~8Mck 2016 04 08.50164 12 14 22.69 -01 02 17.7 25.8r 16GT392 T09 C~8Mck 2016 04 08.50945 12 14 22.65 -01 02 17.7 25.9r 16GT392 T09 C~8Mck 2016 04 08.52425 12 14 22.58 -01 02 17.4 26.4r 16GT392 T09 C~8Mck
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 0.00
2 0.0001 -3.68 0.02 -0.18 -0.13
3 0.0002 -3.96 -0.08 -0.30 -0.25
4 0.0002 -5.55 -0.05 -0.00 0.07
5 0.0004 -8.55 0.00 0.12 0.22
6 0.0004 -8.96 0.13 -0.06 0.05
7 0.0054 -127.10 0.02 -0.82 -0.06
8 0.0054 -128.89 -0.14 -0.83 -0.05
9 0.0056 -131.75 -0.05 -0.65 0.17
10 0.0168 -394.05 0.09 -2.43 0.19
11 0.0168 -394.60 0.04 -2.67 -0.04
12 0.0168 -395.69 -0.09 -2.81 -0.17
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.