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: 03HF57
# Created Sun Dec 22 02:08:29 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 27 observations of 27
# Arc: 14.09y
# First observation: 2003/04/26
# Last observation: 2017/05/29
# Chi-squared of fit: 31.29 DOF: 48 RMS: 0.19
# Min/Max residuals: -0.45 0.61
# Exact a, adot, b, bdot, g, gdot:
1.905812E-05 3.809475E-02 -1.009829E-06 -8.239741E-04 3.184474E-02 2.592360E-03
# Covariance matrix:
3.4571E-13 -9.4019E-14 -2.3797E-15 1.8272E-15 3.4089E-13 -1.6008E-13
-9.4019E-14 4.1775E-14 1.3496E-15 -8.8670E-16 -6.7360E-14 7.6129E-14
-2.3797E-15 1.3496E-15 1.4222E-13 -1.4118E-14 -5.5625E-16 2.5555E-15
1.8272E-15 -8.8670E-16 -1.4118E-14 2.3549E-15 1.6631E-15 -1.7158E-15
3.4089E-13 -6.7360E-14 -5.5625E-16 1.6631E-15 1.1206E-12 -1.5853E-13
-1.6008E-13 7.6129E-14 2.5555E-15 -1.7158E-15 -1.5853E-13 1.4776E-13
# lat0 lon0 xBary yBary zBary JD0
0.709058 -161.314696 -0.298649 0.011897 -0.961660 2452755.856463
# Heliocentric elements and errors
Epoch: 2452756.5000 = 2003/04/27
Mean Anomaly: 18.74810 +/- 0.010
Argument of Peri: 122.85527 +/- 0.013
Long of Asc Node: 48.18350 +/- 0.001
Inclination: 1.41978 +/- 0.000
Eccentricity: 0.19753535 +/- 0.0001
Semi-Major Axis: 39.54572718 +/- 0.0072
Time of Perihelion: 2448026.0481 +/- 2.8
Perihelion: 31.73404814 +/- 0.0073
Aphelion: 47.35740621 +/- 0.0097
Period (y) 248.6896 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -30.56224068 +/- 0.0010
Ecliptic Y -10.64692715 +/- 0.0003
Ecliptic Z 0.38859747 +/- 0.0000
Ecliptic XDOT 0.00083117 +/- 0.0000
Ecliptic YDOT -0.00317917 +/- 0.0000
Ecliptic ZDOT -0.00006789 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 32.36596329 +/- 0.0009
Geocenter to KBO 31.40235916 +/- 0.0010
# Hcoef: 8.58
The following table shows the complete astrometric record for 03HF57. 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 (03HF57) followed by the observatory code and reference code for the source of the astrometry.
2003 04 26.35572 13 10 02.33 -06 39 55.7 23.0R 03HF57 568 Cq9883 2003 04 26.40073 13 10 02.07 -06 39 54.4 23.2R 03HF57 568 Cq9883 2003 04 26.44299 13 10 01.85 -06 39 52.9 22.9R 03HF57 568 Cq9883 2003 05 30.30761 13 07 32.45 -06 25 21.9 03HF57 568 Cq9883 2003 05 30.36094 13 07 32.29 -06 25 21.0 03HF57 568 Cq9883 2005 05 04.33366 13 25 23.65 -08 18 38.9 23.7r 03HF57 568 Cq9883 2005 05 04.36160 13 25 23.51 -08 18 38.1 24.4r 03HF57 568 Cq9883 2005 05 04.40626 13 25 23.26 -08 18 36.7 23.6r 03HF57 568 Cq9883 2005 05 05.37872 13 25 18.22 -08 18 07.8 23.9r 03HF57 568 Cq9883 2005 07 09.20326 13 22 28.98 -08 02 56.2 03HF57 675 Cq9883 2005 07 10.21396 13 22 29.73 -08 03 02.1 03HF57 675 Cq9883 2005 07 11.18583 13 22 30.60 -08 03 09.0 03HF57 675 Cq9883 2008 05 03.28630 13 49 29.50 -10 46 38.0 03HF57 695 Cz0402 2008 05 03.29371 13 49 29.46 -10 46 37.9 03HF57 695 Cz0402 2008 05 03.29800 13 49 29.45 -10 46 37.3 03HF57 695 Cz0402 2008 05 03.33270 13 49 29.24 -10 46 36.4 03HF57 695 Cz0402 2008 05 04.30958 13 49 23.85 -10 46 07.4 03HF57 695 Cz0402 2008 05 05.20672 13 49 18.98 -10 45 40.8 03HF57 695 Cz0402 2008 05 05.21279 13 49 18.95 -10 45 40.5 03HF57 695 Cz0402 2014 04 30.13625 14 37 17.67 -15 11 17.5 24.2V 03HF57 W84 C~2fbn 2014 04 30.20523 14 37 17.27 -15 11 15.5 03HF57 W84 C~2fbn 2014 05 01.12293 14 37 11.98 -15 10 51.1 03HF57 W84 C~2fbn 2014 05 01.19265 14 37 11.56 -15 10 49.3 03HF57 W84 C~2fbn 2016 05 29.21675 14 50 11.242 -16 16 23.10 23.2R 03HF57 G37 C~2bkX 2016 05 29.28667 14 50 10.874 -16 16 21.39 03HF57 G37 C~2bkX 2017 05 29.26281 14 57 59.431 -16 53 12.89 23.9w 03HF57 568 C~2WXA 2017 05 29.26681 14 57 59.414 -16 53 12.94 24.1w 03HF57 568 C~2WXA
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 0.13
2 0.0001 0.00 -0.17 0.00 -0.01
3 0.0002 0.00 0.01 0.00 0.13
4 0.0930 0.00 -0.30 0.00 0.29
5 0.0931 0.00 -0.12 0.00 0.25
6 2.0232 0.00 0.16 0.00 -0.11
7 2.0233 0.00 0.30 0.00 -0.15
8 2.0234 0.00 0.12 0.00 -0.09
9 2.0261 0.00 0.34 0.00 -0.20
10 2.2036 0.00 -0.26 0.00 -0.26
11 2.2063 0.00 -0.10 0.00 -0.06
12 2.2090 0.00 0.61 0.00 -0.43
13 5.0210 0.00 -0.15 0.00 -0.01
14 5.0210 0.00 -0.13 0.00 -0.14
15 5.0211 0.00 0.08 0.00 0.34
16 5.0212 0.00 -0.15 0.00 0.19
17 5.0238 0.00 -0.45 0.00 0.03
18 5.0263 0.00 -0.05 0.00 0.00
19 5.0263 0.00 0.01 0.00 0.12
20 11.0110 0.00 -0.03 0.00 -0.14
21 11.0112 0.00 0.05 0.00 0.03
22 11.0137 0.00 0.15 0.00 0.05
23 11.0139 0.00 -0.00 0.00 0.00
24 13.0920 0.00 -0.11 0.00 0.01
25 13.0922 0.00 -0.07 0.00 0.15
26 14.0915 0.00 0.03 0.00 0.03
27 14.0915 0.00 0.10 0.00 -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.
03HF57 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.131 39.131 39.131 ecceobj 0.189 0.189 0.189 incobj 1.424 1.424 1.424 qmin 31.071 31.072 31.071 qmax 48.307 48.313 48.302 amean 39.456 39.456 39.456 amin 39.060 39.061 39.059 amax 39.909 39.907 39.910 emean 0.195 0.195 0.195 emin 0.180 0.180 0.180 emax 0.211 0.211 0.211 imean 1.540 1.540 1.540 imin 1.170 1.170 1.170 imax 1.957 1.957 1.957 excite_mean 0.197 0.197 0.197 fracstop 1.000 1.000 1.000 cjmean 3.007 3.007 3.007 libcent 0 180.6 180.5 180.6 libamp 0 57.6 57.6 57.7 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 159.0 159.0 159.0 kozaiamp 179.9 179.9 179.9