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: 612051
# Created Sun Dec 22 02:07:42 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 29 observations of 29
# Arc: 11.13y
# First observation: 1997/09/07
# Last observation: 2008/10/24
# Chi-squared of fit: 148.69 DOF: 52 RMS: 0.40
# Min/Max residuals: -1.15 1.13
# Exact a, adot, b, bdot, g, gdot:
1.968659E-05 4.225829E-02 2.457725E-06 8.820016E-03 3.313340E-02 4.909839E-03
# 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
0.626712 13.227074 0.472275 0.009438 -0.880553 2450698.947291
# Heliocentric elements and errors
Epoch: 2450698.5000 = 1997/09/07
Mean Anomaly: 9.19610 +/- 0.000
Argument of Peri: 341.70423 +/- 0.000
Long of Asc Node: 9.42309 +/- 0.000
Inclination: 11.77282 +/- 0.000
Eccentricity: 0.37033791 +/- 0.0000
Semi-Major Axis: 48.43699910 +/- 0.0000
Time of Perihelion: 2447553.1744 +/- 0.0
Perihelion: 30.49894215 +/- 0.0000
Aphelion: 66.37505604 +/- 0.0000
Period (y) 337.1119 +/- 0.00
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 30.35128073 +/- 0.0000
Ecliptic Y 6.64321361 +/- 0.0000
Ecliptic Z 0.33020420 +/- 0.0000
Ecliptic XDOT -0.00040742 +/- 0.0000
Ecliptic YDOT 0.00349779 +/- 0.0000
Ecliptic ZDOT 0.00073306 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.07149347 +/- 0.0000
Geocenter to KBO 30.18098360 +/- 0.0000
# Hcoef: 8.53
The following table shows the complete astrometric record for 612051. 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 (612051) followed by the observatory code and reference code for the source of the astrometry.
1997 09 07.44656 00 47 41.90 +05 47 57.8 23.0R 612051 675 Ca0035 1997 09 07.46976 00 47 41.78 +05 47 57.3 23.1R 612051 675 Ca0035 1997 09 24.43753 00 46 08.92 +05 39 50.7 612051 568 Ca0035 1997 09 24.51529 00 46 08.55 +05 39 48.5 612051 568 Ca0035 1997 09 27.34124 00 45 52.03 +05 38 18.8 612051 696 Ca0035 1997 09 27.43969 00 45 51.43 +05 38 16.1 23.0R 612051 696 Ca0035 1997 10 27.20396 00 42 59.39 +05 22 43.6 612051 675 Ca0404 1997 10 27.23100 00 42 59.23 +05 22 42.7 612051 675 Ca0404 1997 10 27.23811 00 42 59.21 +05 22 42.7 612051 675 Ca0404 1998 10 16.33632 00 52 14.07 +06 52 52.4 612051 568 Ca3333 1998 10 16.39944 00 52 13.67 +06 52 50.6 612051 568 Ca3333 1998 10 16.42354 00 52 13.52 +06 52 50.1 612051 568 Ca3333 1998 10 16.45345 00 52 13.38 +06 52 48.7 612051 568 Ca3333 1998 10 16.51749 00 52 12.96 +06 52 46.7 22.9R 612051 568 Ca3333 1998 12 12.84052 00 48 18.21 +06 31 45.7 612051 950 Ca3333 1998 12 14.82509 00 48 15.69 +06 31 35.0 612051 950 Ca3333 2000 08 07.33685 01 13 50.00 +10 01 19.0 23.5R 612051 809 Cc2106 2000 08 07.39804 01 13 49.88 +10 01 19.2 23.2R 612051 809 Cc2106 2000 08 07.41861 01 13 49.84 +10 01 19.0 23.7R 612051 809 Cc2106 2000 09 24.39173 01 10 39.64 +09 48 32.0 612051 568 Cb8918 2000 09 24.41127 01 10 39.54 +09 48 32.1 612051 568 Cb8918 2007 07 07.23087 02 07 58.36 +18 13 49.4 23.7R 612051 250 S~06AJ 2007 07 07.23712 02 07 58.39 +18 13 49.6 612051 250 S~06AJ 2007 07 07.24337 02 07 58.41 +18 13 49.8 612051 250 S~06AJ 2007 07 07.29753 02 07 58.60 +18 13 51.5 612051 250 S~06AJ 2008 10 23.38932 02 11 58.93 +19 20 32.2 23.6r 612051 695 C~0gLr 2008 10 23.44557 02 11 58.61 +19 20 30.8 23.6r 612051 695 C~0gLr 2008 10 24.34441 02 11 53.17 +19 20 08.2 23.3r 612051 695 C~0gLr 2008 10 24.44969 02 11 52.53 +19 20 05.4 23.7r 612051 695 C~0gLr
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 -0.05 0.00 0.37
2 0.0001 0.00 -0.06 0.00 0.47
3 0.0465 0.00 -0.20 0.00 0.29
4 0.0467 0.00 1.13 0.00 0.49
5 0.0545 0.00 0.09 0.00 -1.15
6 0.0547 0.00 -0.13 0.00 -0.76
7 0.1362 0.00 -0.48 0.00 0.42
8 0.1363 0.00 -0.67 0.00 0.31
9 0.1363 0.00 -0.38 0.00 0.51
10 1.1058 0.00 0.23 0.00 -0.32
11 1.1060 0.00 -0.14 0.00 -0.13
12 1.1060 0.00 -0.23 0.00 0.14
13 1.1061 0.00 0.34 0.00 -0.32
14 1.1063 0.00 -0.26 0.00 -0.28
15 1.2632 0.00 -0.01 0.00 0.36
16 1.2687 0.00 0.53 0.00 0.38
17 2.9155 0.00 -0.15 0.00 -0.07
18 2.9157 0.00 -0.25 0.00 0.22
19 2.9157 0.00 -0.28 0.00 0.05
20 3.0471 0.00 0.33 0.00 -1.09
21 3.0471 0.00 0.51 0.00 -0.46
22 9.8283 0.00 -0.12 0.00 0.30
23 9.8283 0.00 -0.01 0.00 0.31
24 9.8283 0.00 -0.04 0.00 0.31
25 9.8285 0.00 -0.10 0.00 0.31
26 11.1265 0.00 -0.32 0.00 -0.19
27 11.1266 0.00 0.05 0.00 -0.16
28 11.1291 0.00 -0.20 0.00 -0.11
29 11.1294 0.00 -0.11 0.00 -0.22
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.
612051 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 48.511 48.511 48.511 ecceobj 0.371 0.371 0.371 incobj 11.772 11.772 11.772 qmin 29.842 29.737 29.894 qmax 66.658 66.980 66.905 amean 47.796 47.796 47.797 amin 47.179 47.145 47.144 amax 48.563 48.569 48.588 emean 0.334 0.337 0.333 emin 0.281 0.287 0.279 emax 0.376 0.380 0.377 imean 14.541 14.290 14.606 imin 11.811 11.568 11.714 imax 17.681 17.436 17.806 excite_mean 0.420 0.420 0.420 fracstop 1.000 1.000 1.000 cjmean 2.926 2.926 2.926 libcent 0 76.7 76.2 77.4 libamp 0 42.0 41.2 40.8 libcent 1 -180.0 -180.0 -180.0 libamp 1 -180.0 -180.0 -180.0 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 324.5 327.3 318.5 kozaiamp 180.0 179.9 180.0