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: 20161
# Created Sun Dec 22 02:06:44 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 33 observations of 33
# Arc: 19.84y
# First observation: 1996/10/08
# Last observation: 2016/08/12
# Chi-squared of fit: 319.29 DOF: 60 RMS: 0.55
# Min/Max residuals: -2.09 1.25
# Exact a, adot, b, bdot, g, gdot:
2.780883E-05 3.189456E-02 2.146372E-06 6.589160E-03 2.894561E-02 1.056672E-02
# Covariance matrix:
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00
# lat0 lon0 xBary yBary zBary JD0
4.307474 2.095755 -0.236077 0.072478 -0.964260 2450364.837050
# Heliocentric elements and errors
Epoch: 2450364.5000 = 1996/10/08
Mean Anomaly: 31.66805 +/- 0.000
Argument of Peri: 309.87674 +/- 0.000
Long of Asc Node: 343.00186 +/- 0.000
Inclination: 12.39743 +/- 0.000
Eccentricity: 0.40284501 +/- 0.0000
Semi-Major Axis: 48.23521180 +/- 0.0000
Time of Perihelion: 2439600.7529 +/- 0.0
Perihelion: 28.80389765 +/- 0.0000
Aphelion: 67.66652594 +/- 0.0000
Period (y) 335.0075 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.39022204 +/- 0.0000
Ecliptic Y 1.52556663 +/- 0.0000
Ecliptic Z 2.59492382 +/- 0.0000
Ecliptic XDOT 0.00084551 +/- 0.0000
Ecliptic YDOT 0.00305419 +/- 0.0000
Ecliptic ZDOT 0.00069637 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.51780300 +/- 0.0000
Geocenter to KBO 34.54740032 +/- 0.0000
# Hcoef: 7.42
The following table shows the complete astrometric record for 20161. 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 (20161) followed by the observatory code and reference code for the source of the astrometry.
1996 10 08.33633 00 00 49.41 +04 47 05.9 23.0R 20161 568 C30144 1996 10 08.38892 00 00 49.20 +04 47 04.5 20161 568 C30144 1996 10 08.54487 00 00 48.38 +04 47 00.1 20161 568 C30144 1996 10 12.39995 00 00 29.25 +04 45 02.0 20161 568 C30144 1996 10 12.44652 00 00 29.01 +04 45 00.4 20161 568 C30144 1996 10 12.51030 00 00 28.71 +04 44 58.7 20161 568 C30144 1997 09 05.27890 00 09 45.96 +06 06 53.3 20161 675 Ca0009 1997 09 05.45828 00 09 45.05 +06 06 48.8 20161 675 Ca0010 1997 09 06.31941 00 09 40.84 +06 06 27.7 22.5R 20161 675 Ca0010 1997 09 06.49878 00 09 39.94 +06 06 23.3 22.8R 20161 675 Ca0010 1998 11 15.31809 00 10 15.40 +06 35 33.5 22.6R 20161 568 Ca3327 1998 11 15.33171 00 10 15.35 +06 35 33.0 22.6R 20161 568 Ca3327 1998 11 22.33160 00 09 56.75 +06 33 06.2 22.6R 20161 568 Ca3327 1998 11 23.27500 00 09 54.61 +06 32 48.4 22.6R 20161 568 Ca3328 1998 11 24.09341 00 09 52.84 +06 32 33.5 23.1R 20161 711 Ca3585 1998 11 24.21661 00 09 52.51 +06 32 31.6 23.1R 20161 711 Ca3585 1998 11 25.09750 00 09 50.63 +06 32 15.3 22.8R 20161 711 Ca3586 1998 11 25.18707 00 09 50.44 +06 32 13.6 23.1R 20161 711 Ca3586 2000 11 26.15906 00 21 19.50 +08 30 42.7 22.8R 20161 695 Cc3488 2000 11 26.27921 00 21 19.22 +08 30 40.6 22.9R 20161 695 Cc3488 2000 11 27.20699 00 21 17.21 +08 30 22.7 22.5R 20161 695 Cc3488 2000 11 27.28647 00 21 17.07 +08 30 21.1 22.5R 20161 695 Cc3488 2008 10 23.35209 01 06 23.49 +15 43 20.7 23.5r 20161 695 C~0gQ7 2008 10 23.41422 01 06 23.19 +15 43 18.7 24.0r 20161 695 C~0gQ7 2010 11 01.293101 01 15 49.159 +17 09 44.42 23.1G 20161 F51 C~41LG 2010 11 01.308754 01 15 49.098 +17 09 44.04 23.0G 20161 F51 C~41LG 2010 11 01.327123 01 15 48.999 +17 09 43.96 23.1G 20161 F51 C~41LG 2010 11 01.343380 01 15 48.923 +17 09 43.33 23.7G 20161 F51 C~41LG 2013 10 05.374621 01 32 40.955 +19 26 55.52 23.3G 20161 F51 C~41LG 2013 10 05.415522 01 32 40.762 +19 26 54.61 22.9G 20161 F51 C~41LG 2016 08 12.394873 01 49 42.62 +21 25 28.6 20161 W84 C~3nnZ 2016 08 12.414259 01 49 42.62 +21 25 28.5 20161 W84 C~3nnZ 2016 08 12.416105 01 49 42.61 +21 25 28.4 20161 W84 C~3nnZ
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 -2.09 0.00 -0.58
2 0.0001 0.00 -1.17 0.00 -0.36
3 0.0006 0.00 -1.46 0.00 0.07
4 0.0111 0.00 -0.13 0.00 0.53
5 0.0113 0.00 -0.22 0.00 0.35
6 0.0114 0.00 0.06 0.00 0.61
7 0.9088 0.00 0.68 0.00 -0.68
8 0.9093 0.00 0.39 0.00 -0.77
9 0.9117 0.00 0.34 0.00 -0.56
10 0.9121 0.00 0.29 0.00 -0.48
11 2.1026 0.00 1.03 0.00 -0.07
12 2.1027 0.00 0.91 0.00 -0.26
13 2.1218 0.00 0.48 0.00 -0.09
14 2.1244 0.00 0.73 0.00 0.08
15 2.1266 0.00 1.25 0.00 0.45
16 2.1270 0.00 0.46 0.00 0.81
17 2.1294 0.00 0.08 0.00 0.43
18 2.1296 0.00 0.13 0.00 0.33
19 4.1337 0.00 -0.14 0.00 -0.02
20 4.1340 0.00 -0.23 0.00 0.24
21 4.1365 0.00 -0.45 0.00 0.24
22 4.1368 0.00 0.04 0.00 0.16
23 12.0411 0.00 -0.52 0.00 0.15
24 12.0413 0.00 -0.46 0.00 -0.05
25 14.0642 0.00 -0.34 0.00 -0.53
26 14.0643 0.00 -0.15 0.00 -0.46
27 14.0643 0.00 -0.33 0.00 -0.01
28 14.0644 0.00 -0.32 0.00 -0.18
29 16.9912 0.00 0.00 0.00 0.02
30 16.9913 0.00 0.08 0.00 -0.05
31 19.8441 0.00 0.10 0.00 0.43
32 19.8442 0.00 0.48 0.00 0.16
33 19.8442 0.00 0.36 0.00 0.04
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.
20161 quality flag:3 Type: 2:1E 2:1E 2:1E Type: 6:3EII 6:3EII 6:3EII axisobj 48.230 48.230 48.229 ecceobj 0.400 0.400 0.400 incobj 12.405 12.405 12.405 qmin 28.177 28.175 28.184 qmax 68.310 68.383 68.305 amean 47.796 47.796 47.796 amin 47.251 47.277 47.264 amax 48.497 48.498 48.496 emean 0.382 0.382 0.382 emin 0.342 0.342 0.343 emax 0.410 0.410 0.410 imean 14.996 14.999 14.993 imin 13.191 13.197 13.202 imax 17.582 17.595 17.571 excite_mean 0.462 0.462 0.462 fracstop 1.000 1.000 1.000 cjmean 2.878 2.878 2.878 libcent 0 66.0 66.5 66.2 libamp 0 15.4 15.4 15.1 libcent 1 123.7 123.5 122.9 libamp 1 100.2 100.9 100.2 libcent 2 -180.0 -180.0 -180.0 libamp 2 -180.0 -180.0 -180.0 libcent 3 -180.0 -180.0 -180.0 libamp 3 -180.0 -180.0 -180.0 libcent 4 -180.0 -180.0 -180.0 libamp 4 -180.0 -180.0 -180.0 kozaimean 325.9 325.8 325.8 kozaiamp 31.2 31.2 31.1