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: 16GR390
# Created Wed Nov 27 02:10:38 2024
# Orbit generated from Bernstein formalism
# Fitting 27 observations of 27
# Arc: 62.95d
# First observation: 2016/04/02
# Last observation: 2016/06/04
Preliminary a, adot, b, bdot, g, gdot:
-0.000001 0.025842 -0.000001 0.000313 0.023627 0.000000
# WARNING Fitting with energy constraint
# Chi-squared of fit: 17.53 DOF: 49 RMS: 0.14
# Min/Max residuals: -0.39 0.28
# Exact a, adot, b, bdot, g, gdot:
1.388750E-05 2.162874E-02 1.951116E-07 1.993600E-04 2.295044E-02 -1.195299E-02
# Covariance matrix:
1.8261E-13 7.0277E-11 -1.7472E-14 1.9122E-12 1.1478E-11 -1.2368E-09
7.0277E-11 1.1597E-07 -2.9477E-11 3.1458E-09 1.7482E-08 -2.4133E-06
-1.7472E-14 -2.9477E-11 9.2090E-14 -1.4097E-12 -4.4363E-12 6.1590E-10
1.9122E-12 3.1458E-09 -1.4097E-12 9.7808E-11 4.7413E-10 -6.5523E-08
1.1478E-11 1.7482E-08 -4.4363E-12 4.7413E-10 2.6472E-09 -3.6041E-07
-1.2368E-09 -2.4133E-06 6.1590E-10 -6.5523E-08 -3.6041E-07 5.1270E-05
# lat0 lon0 xBary yBary zBary JD0
1.831010 -175.366059 -0.141032 0.031631 -0.985067 2457480.890769
# Heliocentric elements and errors
Epoch: 2457480.5000 = 2016/04/02
Mean Anomaly: 330.67999 +/- 26.169
Argument of Peri: 163.27553 +/- 2.178
Long of Asc Node: 110.35008 +/- 0.293
Inclination: 1.85820 +/- 0.003
Eccentricity: 0.55323710 +/- 0.3394
Semi-Major Axis: 64.96044034 +/- 36.7447
Time of Perihelion: 2473055.6951 +/- 4313.3
Perihelion: 29.02191501 +/- 27.4869
Aphelion: 100.89896567 +/- 61.1832
Period (y) 523.5783 +/- 444.24
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -44.38222850 +/- 0.0973
Ecliptic Y -3.74121340 +/- 0.0079
Ecliptic Z 1.39223587 +/- 0.0031
Ecliptic XDOT 0.00162985 +/- 0.0009
Ecliptic YDOT -0.00246352 +/- 0.0000
Ecliptic ZDOT -0.00002178 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.56138692 +/- 0.0969
Geocenter to KBO 43.57215154 +/- 0.0977
# Hcoef: 7.54
The following table shows the complete astrometric record for 16GR390. 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 (16GR390) followed by the observatory code and reference code for the source of the astrometry.
2016 04 02.38998 12 19 55.02 -00 09 38.5 23.4i 16GR390 T09 C~8HFs 2016 04 02.41462 12 19 54.90 -00 09 37.9 23.5i 16GR390 T09 C~8HFs 2016 04 02.41732 12 19 54.89 -00 09 37.9 23.5i 16GR390 T09 C~8HFs 2016 04 02.44189 12 19 54.78 -00 09 37.0 23.6i 16GR390 T09 C~8HFs 2016 04 02.51521 12 19 54.47 -00 09 35.0 23.7i 16GR390 T09 C~8HFs 2016 04 02.52328 12 19 54.43 -00 09 34.8 23.4i 16GR390 T09 C~8HFs 2016 04 04.34598 12 19 46.81 -00 08 46.0 25.0g 16GR390 T09 C~8HFs 2016 04 04.36164 12 19 46.74 -00 08 45.5 25.0g 16GR390 T09 C~8HFs 2016 04 04.36800 12 19 46.72 -00 08 45.3 25.0g 16GR390 T09 C~8HFs 2016 04 04.38727 12 19 46.63 -00 08 44.8 24.6g 16GR390 T09 C~8HFs 2016 04 04.40648 12 19 46.55 -00 08 44.3 24.7g 16GR390 T09 C~8HFs 2016 04 04.41295 12 19 46.52 -00 08 43.9 24.9g 16GR390 T09 C~8HFs 2016 04 04.41948 12 19 46.51 -00 08 43.8 24.7g 16GR390 T09 C~8HFs 2016 04 15.34534 12 19 02.04 -00 04 02.1 24.3y 16GR390 T09 C~8HFs 2016 04 15.37727 12 19 01.93 -00 04 01.4 23.5y 16GR390 T09 C~8HFs 2016 04 15.40543 12 19 01.82 -00 04 00.9 23.7y 16GR390 T09 C~8HFs 2016 04 15.41093 12 19 01.77 -00 04 00.4 24.3y 16GR390 T09 C~8HFs 2016 04 15.43760 12 19 01.67 -00 04 00.2 24.0y 16GR390 T09 C~8HFs 2016 04 15.44858 12 19 01.65 -00 03 59.9 23.5y 16GR390 T09 C~8HFs 2016 04 15.45396 12 19 01.63 -00 03 59.9 23.5y 16GR390 T09 C~8HFs 2016 04 15.46204 12 19 01.59 -00 03 59.7 23.1y 16GR390 T09 C~8HFs 2016 06 04.25196 12 16 48.70 +00 08 53.5 23.5z 16GR390 T09 C~8HFs 2016 06 04.28656 12 16 48.66 +00 08 53.7 23.5z 16GR390 T09 C~8HFs 2016 06 04.30544 12 16 48.64 +00 08 53.8 23.8z 16GR390 T09 C~8HFs 2016 06 04.32707 12 16 48.61 +00 08 54.2 23.9z 16GR390 T09 C~8HFs 2016 06 04.34057 12 16 48.59 +00 08 54.0 23.4z 16GR390 T09 C~8HFs 2016 06 04.34327 12 16 48.58 +00 08 54.0 23.6z 16GR390 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 0.21 0.00 -0.01
2 0.0001 -1.89 0.04 -0.16 -0.16
3 0.0001 -2.03 0.09 -0.22 -0.22
4 0.0001 -3.90 -0.07 -0.05 -0.03
5 0.0003 -8.96 -0.04 -0.06 0.01
6 0.0004 -9.59 -0.11 -0.11 -0.04
7 0.0054 -133.87 0.03 -0.63 -0.14
8 0.0054 -135.03 -0.05 -0.59 -0.09
9 0.0054 -135.39 0.03 -0.52 -0.02
10 0.0055 -136.83 -0.07 -0.60 -0.08
11 0.0055 -138.13 -0.04 -0.61 -0.08
12 0.0055 -138.70 -0.17 -0.43 0.11
13 0.0056 -138.88 0.11 -0.39 0.15
14 0.0355 -862.95 -0.26 -6.25 0.24
15 0.0356 -864.74 0.03 -6.27 0.27
16 0.0356 -866.45 0.14 -6.46 0.11
17 0.0356 -867.34 -0.39 -6.30 0.28
18 0.0357 -868.80 -0.11 -6.71 -0.10
19 0.0358 -869.19 0.20 -6.55 0.07
20 0.0358 -869.47 0.28 -6.67 -0.05
21 0.0358 -870.10 0.17 -6.73 -0.09
22 0.1721 -3006.84 0.15 -87.24 -0.10
23 0.1722 -3007.47 0.10 -87.29 -0.06
24 0.1723 -3007.79 0.10 -87.32 -0.04
25 0.1723 -3008.36 -0.11 -87.13 0.21
26 0.1723 -3008.56 -0.08 -87.43 -0.06
27 0.1724 -3008.69 -0.18 -87.49 -0.11
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.