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: 16GC391
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 15 observations of 15
# Arc: 62.93d
# First observation: 2016/04/02
# Last observation: 2016/06/04
Preliminary a, adot, b, bdot, g, gdot:
0.000000 0.026284 -0.000000 0.000618 0.023521 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# Chi-squared of fit: 5.31 DOF: 25 RMS: 0.11
# Min/Max residuals: -0.27 0.24
# Exact a, adot, b, bdot, g, gdot:
1.510754E-05 2.153431E-02 3.698890E-07 5.755180E-04 2.275917E-02 -1.163749E-03
# Covariance matrix:
5.0800E-12 6.8491E-09 -6.1762E-14 6.0857E-11 1.1032E-09 -1.2103E-07
6.8491E-09 9.7278E-06 -8.7676E-11 8.6189E-08 1.5552E-06 -1.7550E-04
-6.1762E-14 -8.7676E-11 1.5036E-13 -1.6646E-12 -1.4018E-11 1.5812E-09
6.0857E-11 8.6189E-08 -1.6646E-12 7.7944E-10 1.3791E-08 -1.5510E-06
1.1032E-09 1.5552E-06 -1.4018E-11 1.3791E-08 2.4923E-07 -2.7863E-05
-1.2103E-07 -1.7550E-04 1.5812E-09 -1.5510E-06 -2.7863E-05 3.2272E-03
# lat0 lon0 xBary yBary zBary JD0
0.721433 -175.240271 -0.139201 0.012551 -0.985762 2457480.909989
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 301.96303 +/- 346.864
Argument of Peri: 88.71514 +/- 245.999
Long of Asc Node: 160.09548 +/- 2.874
Inclination: 1.67893 +/- 0.183
Eccentricity: 0.05773441 +/- 2.5320
Semi-Major Axis: 46.22507876 +/- 23.6358
Time of Perihelion: 2475986.6941 +/- 224949.6
Perihelion: 43.55630102 +/- 119.1428
Aphelion: 48.89385651 +/- 119.6830
Period (y) 314.2858 +/- 241.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -44.75794478 +/- 0.9604
Ecliptic Y -3.86883134 +/- 0.0799
Ecliptic Z 0.55327089 +/- 0.0121
Ecliptic XDOT 0.00035543 +/- 0.0068
Ecliptic YDOT -0.00257686 +/- 0.0003
Ecliptic ZDOT 0.00006747 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 44.92824930 +/- 0.9568
Geocenter to KBO 43.93833408 +/- 0.9638
# Hcoef: 8.81
The following table shows the complete astrometric record for 16GC391. 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 (16GC391) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.40920 12 18 37.14 -01 13 45.1 25.0i 16GC391 T09 C~8HFs 2016 04 02.43374 12 18 37.04 -01 13 44.4 25.0i 16GC391 T09 C~8HFs 2016 04 02.45821 12 18 36.93 -01 13 43.8 24.8i 16GC391 T09 C~8HFs 2016 04 02.46093 12 18 36.92 -01 13 43.8 25.1i 16GC391 T09 C~8HFs 2016 04 02.48284 12 18 36.83 -01 13 43.1 25.1i 16GC391 T09 C~8HFs 2016 04 02.50710 12 18 36.73 -01 13 42.6 24.8i 16GC391 T09 C~8HFs 2016 04 04.33742 12 18 29.16 -01 12 52.8 26.7g 16GC391 T09 C~8HFs 2016 04 04.36164 12 18 29.05 -01 12 52.3 26.4g 16GC391 T09 C~8HFs 2016 04 04.38088 12 18 28.97 -01 12 52.0 26.9g 16GC391 T09 C~8HFs 2016 04 04.40012 12 18 28.90 -01 12 51.2 26.1g 16GC391 T09 C~8HFs 2016 06 04.24853 12 15 34.39 -00 54 19.1 24.7z 16GC391 T09 C~8HFs 2016 06 04.28388 12 15 34.34 -00 54 18.7 24.8z 16GC391 T09 C~8HFs 2016 06 04.30006 12 15 34.34 -00 54 18.7 24.8z 16GC391 T09 C~8HFs 2016 06 04.31896 12 15 34.33 -00 54 18.6 24.3z 16GC391 T09 C~8HFs 2016 06 04.33517 12 15 34.28 -00 54 18.4 24.5z 16GC391 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 0.01
2 0.0001 -1.65 0.01 0.05 0.06
3 0.0001 -3.41 -0.05 -0.06 -0.04
4 0.0001 -3.54 -0.00 -0.11 -0.09
5 0.0002 -5.06 -0.01 -0.01 0.02
6 0.0003 -6.64 0.09 -0.14 -0.11
7 0.0053 -130.60 -0.02 0.56 0.20
8 0.0053 -132.31 -0.07 0.37 0.01
9 0.0054 -133.53 0.03 0.17 -0.18
10 0.0055 -134.81 0.06 0.49 0.14
11 0.1720 -2978.65 0.09 -16.66 -0.10
12 0.1721 -2979.49 -0.17 -16.59 0.01
13 0.1722 -2979.49 0.10 -16.59 0.03
14 0.1722 -2979.67 0.24 -16.56 0.08
15 0.1723 -2980.44 -0.27 -16.68 -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.