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: 16GZ368
# Created Wed Nov 27 02:10:37 2024
# Orbit generated from Bernstein formalism
# Fitting 16 observations of 16
# Arc: 63.95d
# First observation: 2016/04/02
# Last observation: 2016/06/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.038198 0.000000 0.002454 0.029502 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 10.56 DOF: 27 RMS: 0.14
# Min/Max residuals: -0.23 0.35
# Exact a, adot, b, bdot, g, gdot:
1.694914E-05 3.119972E-02 1.654508E-06 2.364648E-03 2.843248E-02 7.524006E-03
# Covariance matrix:
5.2175E-13 4.1622E-10 -8.7436E-15 6.1883E-12 7.3937E-11 -4.0582E-09
4.1622E-10 7.7606E-07 -1.4534E-11 1.0201E-08 1.2199E-07 -1.1606E-05
-8.7436E-15 -1.4534E-11 1.6745E-13 -1.1778E-12 -2.3443E-12 2.0179E-10
6.1883E-12 1.0201E-08 -1.1778E-12 1.5095E-10 1.6487E-09 -1.4078E-07
7.3937E-11 1.2199E-07 -2.3443E-12 1.6487E-09 1.9711E-08 -1.6844E-06
-4.0582E-09 -1.1606E-05 2.0179E-10 -1.4078E-07 -1.6844E-06 2.1007E-04
# lat0 lon0 xBary yBary zBary JD0
1.331196 -173.970017 -0.116860 0.023110 -0.988460 2457480.883919
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 39.13972 +/- 17.343
Argument of Peri: 309.25083 +/- 47.201
Long of Asc Node: 169.60929 +/- 0.444
Inclination: 4.52100 +/- 0.118
Eccentricity: 0.29353771 +/- 0.4535
Semi-Major Axis: 44.03617747 +/- 11.1860
Time of Perihelion: 2445875.9567 +/- 2625.0
Perihelion: 31.10989892 +/- 21.4781
Aphelion: 56.96245601 +/- 24.6622
Period (y) 292.2285 +/- 111.35
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.94169247 +/- 0.1727
Ecliptic Y -3.91639808 +/- 0.0182
Ecliptic Z 0.81716218 +/- 0.0040
Ecliptic XDOT -0.00039934 +/- 0.0014
Ecliptic YDOT -0.00307021 +/- 0.0001
Ecliptic ZDOT 0.00024448 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.16367218 +/- 0.1716
Geocenter to KBO 35.17104195 +/- 0.1737
# Hcoef: 9.39
The following table shows the complete astrometric record for 16GZ368. 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 (16GZ368) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38313 12 24 15.06 -01 10 20.5 24.9i 16GZ368 T09 C~89Td 2016 04 02.43645 12 24 14.79 -01 10 18.6 24.7i 16GZ368 T09 C~89Td 2016 04 02.49363 12 24 14.50 -01 10 16.6 24.3i 16GZ368 T09 C~89Td 2016 04 02.50982 12 24 14.41 -01 10 15.9 24.7i 16GZ368 T09 C~89Td 2016 04 02.51521 12 24 14.37 -01 10 15.7 24.9i 16GZ368 T09 C~89Td 2016 04 04.36377 12 24 05.09 -01 09 13.9 25.5g 16GZ368 T09 C~89Td 2016 04 04.40223 12 24 04.90 -01 09 12.6 25.6g 16GZ368 T09 C~89Td 2016 04 04.41735 12 24 04.82 -01 09 12.2 25.2g 16GZ368 T09 C~89Td 2016 04 04.50037 12 24 04.42 -01 09 09.4 25.7g 16GZ368 T09 C~89Td 2016 06 04.25539 12 20 32.45 -00 46 20.8 24.6z 16GZ368 T09 C~89Td 2016 06 04.26765 12 20 32.43 -00 46 20.6 24.5z 16GZ368 T09 C~89Td 2016 06 04.32166 12 20 32.35 -00 46 20.3 24.6z 16GZ368 T09 C~89Td 2016 06 04.33787 12 20 32.35 -00 46 19.8 24.3z 16GZ368 T09 C~89Td 2016 06 05.31150 12 20 31.27 -00 46 14.1 25.2r 16GZ368 T09 C~89Td 2016 06 05.32218 12 20 31.24 -00 46 14.1 25.2r 16GZ368 T09 C~89Td 2016 06 05.33704 12 20 31.24 -00 46 13.7 25.3r 16GZ368 T09 C~89Td
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 -0.07
2 0.0001 -4.47 0.10 0.14 0.05
3 0.0003 -9.26 0.12 0.26 0.13
4 0.0003 -10.77 -0.04 0.37 0.23
5 0.0004 -11.40 -0.22 0.31 0.17
6 0.0054 -163.67 -0.15 2.01 -0.15
7 0.0055 -166.80 -0.07 2.07 -0.10
8 0.0056 -168.06 -0.07 1.96 -0.22
9 0.0058 -174.68 0.25 2.16 -0.06
10 0.1721 -3636.23 0.13 0.71 -0.08
11 0.1722 -3636.58 0.02 0.78 0.00
12 0.1723 -3637.80 -0.13 0.58 -0.12
13 0.1724 -3638.00 -0.01 1.04 0.35
14 0.1750 -3655.14 0.11 -0.14 -0.06
15 0.1751 -3655.55 -0.11 -0.32 -0.23
16 0.1751 -3655.71 0.00 0.05 0.16
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.