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: 16GK370
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 18 observations of 18
# Arc: 63.95d
# First observation: 2016/04/02
# Last observation: 2016/06/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.038348 -0.000000 0.000547 0.030564 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 8.11 DOF: 31 RMS: 0.12
# Min/Max residuals: -0.24 0.23
# Exact a, adot, b, bdot, g, gdot:
1.642591E-05 3.071555E-02 3.055183E-07 3.083654E-04 2.941753E-02 1.772400E-02
# Covariance matrix:
3.8997E-13 2.5142E-10 -7.5275E-15 7.6623E-12 4.7504E-11 -1.8535E-09
2.5142E-10 4.1406E-07 -1.3363E-11 1.2806E-08 6.8192E-08 -5.4902E-06
-7.5275E-15 -1.3363E-11 1.6642E-13 -1.3842E-12 -2.1485E-12 1.9034E-10
7.6623E-12 1.2806E-08 -1.3842E-12 4.0778E-10 2.0970E-09 -1.7288E-07
4.7504E-11 6.8192E-08 -2.1485E-12 2.0970E-09 1.1733E-08 -7.7782E-07
-1.8535E-09 -5.4902E-06 1.9034E-10 -1.7288E-07 -7.7782E-07 1.0459E-04
# lat0 lon0 xBary yBary zBary JD0
2.160648 -175.050035 -0.135594 0.037326 -0.985631 2457480.890769
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 31.11377 +/- 24.355
Argument of Peri: 340.59783 +/- 1.587
Long of Asc Node: 111.17540 +/- 0.358
Inclination: 2.18406 +/- 0.004
Eccentricity: 0.56255827 +/- 0.3166
Semi-Major Axis: 49.46589883 +/- 24.4334
Time of Perihelion: 2446497.8435 +/- 2774.0
Perihelion: 21.63844833 +/- 18.9597
Aphelion: 77.29334934 +/- 41.2655
Period (y) 347.9101 +/- 257.77
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.81715545 +/- 0.1246
Ecliptic Y -3.15385176 +/- 0.0108
Ecliptic Z 1.28163248 +/- 0.0047
Ecliptic XDOT -0.00139438 +/- 0.0010
Ecliptic YDOT -0.00299711 +/- 0.0000
Ecliptic ZDOT 0.00009088 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 34.98319134 +/- 0.1240
Geocenter to KBO 33.99333253 +/- 0.1252
# Hcoef: 10.10
The following table shows the complete astrometric record for 16GK370. 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 (16GK370) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38998 12 21 35.97 +00 01 00.3 25.1i 16GK370 T09 C~8AhT 2016 04 02.41732 12 21 35.83 +00 01 01.3 25.2i 16GK370 T09 C~8AhT 2016 04 02.44189 12 21 35.69 +00 01 02.2 24.8i 16GK370 T09 C~8AhT 2016 04 02.50172 12 21 35.36 +00 01 04.0 25.4i 16GK370 T09 C~8AhT 2016 04 02.51521 12 21 35.31 +00 01 04.5 25.4i 16GK370 T09 C~8AhT 2016 04 02.52328 12 21 35.24 +00 01 04.7 24.7i 16GK370 T09 C~8AhT 2016 04 04.40648 12 21 25.33 +00 02 08.4 26.3g 16GK370 T09 C~8AhT 2016 04 04.41295 12 21 25.29 +00 02 08.7 26.6g 16GK370 T09 C~8AhT 2016 04 04.41948 12 21 25.27 +00 02 08.9 26.3g 16GK370 T09 C~8AhT 2016 06 04.26227 12 17 43.85 +00 23 42.1 25.3z 16GK370 T09 C~8AhT 2016 06 04.27037 12 17 43.84 +00 23 42.1 25.2z 16GK370 T09 C~8AhT 2016 06 04.28656 12 17 43.82 +00 23 42.2 25.0z 16GK370 T09 C~8AhT 2016 06 04.28926 12 17 43.80 +00 23 42.1 24.7z 16GK370 T09 C~8AhT 2016 06 04.32707 12 17 43.77 +00 23 42.6 25.4z 16GK370 T09 C~8AhT 2016 06 04.34327 12 17 43.75 +00 23 42.6 25.2z 16GK370 T09 C~8AhT 2016 06 05.31720 12 17 42.63 +00 23 46.4 25.5r 16GK370 T09 C~8AhT 2016 06 05.33917 12 17 42.61 +00 23 46.4 26.2r 16GK370 T09 C~8AhT 2016 06 05.34340 12 17 42.59 +00 23 46.1 26.4r 16GK370 T09 C~8AhT
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 0.02 0.00 -0.03
2 0.0001 -2.32 0.09 0.09 0.08
3 0.0001 -4.61 -0.04 0.08 0.10
4 0.0003 -9.87 -0.06 -0.23 -0.16
5 0.0003 -10.75 0.23 -0.07 0.02
6 0.0004 -11.80 -0.10 -0.30 -0.21
7 0.0055 -173.52 -0.05 -0.72 0.02
8 0.0055 -174.19 -0.16 -0.69 0.06
9 0.0056 -174.54 0.06 -0.62 0.13
10 0.1721 -3736.78 0.06 -129.44 -0.05
11 0.1722 -3736.92 0.08 -129.50 -0.07
12 0.1722 -3737.23 0.08 -129.52 -0.04
13 0.1722 -3737.47 -0.10 -129.74 -0.24
14 0.1723 -3738.08 0.02 -129.45 0.19
15 0.1724 -3738.36 0.05 -129.57 0.13
16 0.1750 -3755.29 -0.11 -132.74 0.17
17 0.1751 -3755.57 0.00 -132.86 0.14
18 0.1751 -3755.73 -0.08 -133.26 -0.24
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.