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: 04HM79
# Created Sun Dec 22 02:08:39 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 25 observations of 25
# Arc: 11.07y
# First observation: 2004/04/26
# Last observation: 2015/05/22
# Chi-squared of fit: 29.06 DOF: 44 RMS: 0.19
# Min/Max residuals: -0.45 0.51
# Exact a, adot, b, bdot, g, gdot:
1.576901E-05 2.692002E-02 5.401989E-07 5.415444E-04 2.702725E-02 1.696936E-03
# Covariance matrix:
3.2433E-13 -1.8410E-13 3.5674E-15 -3.3348E-15 3.9823E-14 -5.5522E-13
-1.8410E-13 1.6612E-13 -3.4850E-15 3.2581E-15 -3.8453E-14 5.4244E-13
3.5674E-15 -3.4850E-15 1.5411E-13 -1.7799E-14 9.8962E-16 -1.1626E-14
-3.3348E-15 3.2581E-15 -1.7799E-14 3.6483E-15 -7.1326E-16 1.0875E-14
3.9823E-14 -3.8453E-14 9.8962E-16 -7.1326E-16 3.1313E-13 -1.1986E-13
-5.5522E-13 5.4244E-13 -1.1626E-14 1.0875E-14 -1.1986E-13 1.8105E-12
# lat0 lon0 xBary yBary zBary JD0
0.218463 -153.920366 -0.183373 0.003827 -0.987703 2453121.834183
# Heliocentric elements and errors
Epoch: 2453122.5000 = 2004/04/27
Mean Anomaly: 114.28039 +/- 0.066
Argument of Peri: 248.28489 +/- 0.056
Long of Asc Node: 195.88927 +/- 0.002
Inclination: 1.17182 +/- 0.000
Eccentricity: 0.07897466 +/- 0.0000
Semi-Major Axis: 36.62089896 +/- 0.0033
Time of Perihelion: 2427426.7587 +/- 15.2
Perihelion: 33.72877598 +/- 0.0033
Aphelion: 39.51302194 +/- 0.0038
Period (y) 221.6163 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.04240701 +/- 0.0007
Ecliptic Y -16.86306413 +/- 0.0003
Ecliptic Z 0.14111205 +/- 0.0000
Ecliptic XDOT 0.00104164 +/- 0.0000
Ecliptic YDOT -0.00253175 +/- 0.0000
Ecliptic ZDOT 0.00005564 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.99033081 +/- 0.0006
Geocenter to KBO 36.99968970 +/- 0.0008
# Hcoef: 7.67
The following table shows the complete astrometric record for 04HM79. 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 (04HM79) followed by the observatory code and reference code for the source of the astrometry.
2004 04 26.33344 13 37 03.28 -09 52 03.2 23.2g 04HM79 568 C~0W4b 2004 04 26.35459 13 37 03.17 -09 52 02.7 23.3g 04HM79 568 C~0W4b 2004 04 26.38103 13 37 03.04 -09 52 01.9 23.1g 04HM79 568 C~0W4b 2004 04 27.32861 13 36 58.35 -09 51 34.5 23.7g 04HM79 568 C~0W4b 2005 05 04.42403 13 42 18.38 -10 20 02.4 04HM79 568 C~0W4b 2005 05 05.39356 13 42 13.77 -10 19 35.3 04HM79 568 C~0W4b 2006 05 01.39587 13 48 27.85 -10 52 42.9 23.7r 04HM79 568 C~0W4b 2006 05 01.42624 13 48 27.69 -10 52 41.7 23.5r 04HM79 568 C~0W4b 2006 05 01.45796 13 48 27.53 -10 52 40.9 22.9r 04HM79 568 C~0W4b 2006 05 02.33204 13 48 23.24 -10 52 16.3 04HM79 568 C~0W4b 2006 06 29.28183 13 45 07.26 -10 33 57.6 23.6r 04HM79 568 C~0W4b 2006 06 29.29485 13 45 07.25 -10 33 57.8 23.7r 04HM79 568 C~0W4b 2006 06 30.26232 13 45 06.21 -10 33 51.4 23.4r 04HM79 568 C~0W4b 2007 02 21.45791 13 59 11.12 -11 50 14.3 23.7R 04HM79 675 C~0W4b 2007 02 21.50538 13 59 11.02 -11 50 13.7 23.8R 04HM79 675 C~0W4b 2013 03 13.42524 14 33 17.70 -14 32 43.4 23.1R 04HM79 695 C~0ud8 2013 03 13.50256 14 33 17.46 -14 32 42.5 04HM79 695 C~0ud8 2013 03 14.49629 14 33 14.33 -14 32 26.5 04HM79 695 C~0ud8 2014 04 30.13625 14 35 40.44 -14 41 45.6 23.7V 04HM79 W84 C~2fbn 2014 04 30.20523 14 35 40.07 -14 41 43.9 04HM79 W84 C~2fbn 2014 05 01.12293 14 35 35.34 -14 41 21.1 04HM79 W84 C~2fbn 2014 05 01.19265 14 35 34.98 -14 41 19.5 04HM79 W84 C~2fbn 2015 05 22.18346 14 39 44.49 -14 59 00.7 23.9R 04HM79 695 C~1hTc 2015 05 22.22110 14 39 44.33 -14 59 00.0 04HM79 695 C~1hTc 2015 05 22.27178 14 39 44.04 -14 58 58.9 04HM79 695 C~1hTc
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 -0.04
2 0.0001 0.00 -0.07 0.00 -0.15
3 0.0001 0.00 -0.01 0.00 -0.11
4 0.0027 0.00 -0.06 0.00 0.06
5 1.0215 0.00 -0.45 0.00 -0.45
6 1.0241 0.00 0.15 0.00 0.06
7 2.0125 0.00 0.04 0.00 -0.20
8 2.0126 0.00 -0.06 0.00 0.16
9 2.0127 0.00 -0.07 0.00 0.07
10 2.0151 0.00 0.13 0.00 0.42
11 2.1737 0.00 -0.12 0.00 0.23
12 2.1737 0.00 -0.02 0.00 -0.05
13 2.1764 0.00 0.39 0.00 0.46
14 2.8231 0.00 0.14 0.00 -0.19
15 2.8232 0.00 0.17 0.00 -0.15
16 8.8791 0.00 -0.17 0.00 0.19
17 8.8793 0.00 -0.07 0.00 -0.13
18 8.8820 0.00 -0.08 0.00 0.05
19 10.0090 0.00 -0.10 0.00 -0.08
20 10.0092 0.00 -0.22 0.00 -0.08
21 10.0117 0.00 -0.12 0.00 0.02
22 10.0119 0.00 -0.02 0.00 -0.09
23 11.0687 0.00 0.13 0.00 0.12
24 11.0688 0.00 0.51 0.00 -0.02
25 11.0690 0.00 -0.08 0.00 -0.07
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.
04HM79 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.261 36.261 36.261 ecceobj 0.083 0.083 0.083 incobj 1.177 1.177 1.177 qmin 33.027 33.023 33.031 qmax 40.265 40.265 40.265 amean 36.483 36.483 36.483 amin 36.140 36.140 36.140 amax 36.843 36.843 36.842 emean 0.073 0.073 0.073 emin 0.054 0.054 0.054 emax 0.094 0.094 0.093 imean 2.613 2.613 2.613 imin 0.376 0.376 0.376 imax 3.669 3.670 3.669 excite_mean 0.088 0.088 0.088 fracstop 1.000 1.000 1.000 cjmean 3.019 3.019 3.019 libcent 0 178.0 177.9 177.9 libamp 0 68.5 68.5 68.4 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 179.9 180.3 179.9 kozaiamp 180.0 180.0 180.0