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: 04HO79
# Created Fri Apr 26 01:11:48 2024
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 4.04y
# First observation: 2004/04/22
# Last observation: 2008/05/07
Preliminary a, adot, b, bdot, g, gdot:
0.000168 0.030356 -0.000026 -0.002987 0.026937 0.000000
# Chi-squared of fit: 12.78 DOF: 38 RMS: 0.13
# Min/Max residuals: -0.37 0.24
# Exact a, adot, b, bdot, g, gdot:
1.770237E-05 3.125656E-02 -1.514996E-06 -3.080399E-03 2.754873E-02 8.969740E-03
# Covariance matrix:
2.4835E-13 -1.1174E-13 -2.3426E-15 6.1436E-15 1.5355E-13 -5.0248E-13
-1.1174E-13 3.8066E-13 1.4979E-14 -3.7097E-14 2.0563E-13 3.0205E-12
-2.3426E-15 1.4979E-14 1.3890E-13 -4.7500E-14 9.7203E-15 1.2946E-13
6.1436E-15 -3.7097E-14 -4.7500E-14 3.4267E-14 -2.3402E-14 -3.2040E-13
1.5355E-13 2.0563E-13 9.7203E-15 -2.3402E-14 4.9869E-13 1.9009E-12
-5.0248E-13 3.0205E-12 1.2946E-13 -3.2040E-13 1.9009E-12 2.6086E-11
# lat0 lon0 xBary yBary zBary JD0
0.414947 -130.021009 0.294382 0.006990 -0.959184 2453118.060453
# Heliocentric elements and errors
Epoch: 2453110.5000 = 2004/04/15
Mean Anomaly: 22.98780 +/- 0.008
Argument of Peri: 120.05993 +/- 0.017
Long of Asc Node: 53.63292 +/- 0.000
Inclination: 5.61872 +/- 0.000
Eccentricity: 0.41644388 +/- 0.0002
Semi-Major Axis: 55.62784687 +/- 0.0119
Time of Perihelion: 2443433.7000 +/- 1.5
Perihelion: 32.46197046 +/- 0.0118
Aphelion: 78.79372329 +/- 0.0194
Period (y) 414.9030 +/- 0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -24.18795318 +/- 0.0006
Ecliptic Y -28.34118890 +/- 0.0007
Ecliptic Z 0.26286265 +/- 0.0000
Ecliptic XDOT 0.00180116 +/- 0.0000
Ecliptic YDOT -0.00268886 +/- 0.0000
Ecliptic ZDOT -0.00029954 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.26055775 +/- 0.0007
Geocenter to KBO 36.29931458 +/- 0.0009
# Hcoef: 7.22
The following table shows the complete astrometric record for 04HO79. 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 (04HO79) followed by the observatory code and reference code for the source of the astrometry.
2004 04 22.55971 15 10 36.11 -17 20 08.3 23.2g 04HO79 568 C~0X5W 2004 04 24.43403 15 10 26.59 -17 19 33.1 23.0g 04HO79 568 C~0X5W 2004 04 25.43977 15 10 21.43 -17 19 14.1 23.3g 04HO79 568 C~0X5W 2004 04 25.46678 15 10 21.28 -17 19 13.5 23.2g 04HO79 568 C~0X5W 2004 04 25.48942 15 10 21.17 -17 19 13.3 22.9g 04HO79 568 C~0X5W 2004 07 08.27453 15 04 51.67 -16 59 29.0 22.8i 04HO79 568 C~0X5W 2004 07 08.33745 15 04 51.54 -16 59 28.6 23.1i 04HO79 568 C~0X5W 2004 07 08.39876 15 04 51.36 -16 59 28.5 22.7i 04HO79 568 C~0X5W 2005 05 08.43197 15 16 15.09 -17 53 36.2 22.9r 04HO79 568 C~0X5W 2005 05 08.46374 15 16 14.92 -17 53 35.5 23.3r 04HO79 568 C~0X5W 2005 05 08.49567 15 16 14.74 -17 53 35.0 22.8r 04HO79 568 C~0X5W 2005 05 10.48849 15 16 04.10 -17 52 57.6 22.7r 04HO79 568 C~0X5W 2005 08 02.11456 15 11 17.64 -17 37 01.2 04HO79 309 C~0X5W 2005 08 03.10494 15 11 17.72 -17 37 03.6 04HO79 309 C~0X5W 2006 06 03.39653 15 20 57.48 -18 22 56.0 04HO79 568 C~0X5W 2006 06 03.41228 15 20 57.41 -18 22 55.7 04HO79 568 C~0X5W 2006 06 03.42871 15 20 57.32 -18 22 55.4 04HO79 568 C~0X5W 2008 05 03.36607 15 37 16.64 -19 40 50.8 04HO79 695 C~0X5W 2008 05 04.35249 15 37 11.57 -19 40 35.3 04HO79 695 C~0X5W 2008 05 07.48261 15 36 55.30 -19 39 46.1 23.0r 04HO79 568 C~0X5W 2008 05 07.50574 15 36 55.17 -19 39 45.5 23.0r 04HO79 568 C~0X5W 2008 05 07.52893 15 36 55.05 -19 39 45.4 23.1r 04HO79 568 C~0X5W
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 -0.05
2 0.0051 -140.76 0.07 -2.63 0.14
3 0.0079 -217.04 0.10 -4.15 0.19
4 0.0080 -219.27 -0.04 -4.14 0.24
5 0.0080 -220.84 0.14 -4.37 0.06
6 0.2100 -5088.57 -0.07 -147.76 0.08
7 0.2102 -5090.47 0.18 -147.89 0.11
8 0.2104 -5092.98 -0.25 -148.51 -0.37
9 1.0428 5205.81 -0.10 -655.26 0.02
10 1.0429 5203.28 -0.09 -655.21 0.13
11 1.0429 5200.67 -0.16 -655.40 0.00
12 1.0484 5044.19 -0.10 -658.92 -0.14
13 1.2774 843.53 0.07 -817.02 -0.25
14 1.2801 845.27 0.05 -819.03 -0.31
15 2.1132 9554.53 0.01 -1319.12 -0.08
16 2.1132 9553.49 0.13 -1319.08 -0.01
17 2.1133 9552.17 0.02 -1319.12 -0.02
18 4.0296 24264.12 -0.15 -2481.94 0.01
19 4.0323 24189.86 -0.02 -2483.45 0.17
20 4.0409 23951.69 0.12 -2488.89 -0.03
21 4.0409 23949.74 -0.03 -2488.73 0.17
22 4.0410 23948.05 0.08 -2489.03 -0.08
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.
04HO79 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 54.714 54.748 54.679 ecceobj 0.407 0.408 0.407 incobj 5.637 5.637 5.637 qmin 31.884 31.885 31.904 qmax 80.544 80.355 80.520 amean 55.462 55.462 55.462 amin 54.682 54.718 54.655 amax 56.484 56.399 56.484 emean 0.414 0.414 0.414 emin 0.404 0.403 0.403 emax 0.426 0.426 0.426 imean 4.829 4.841 4.792 imin 4.598 4.631 4.557 imax 5.100 5.061 5.094 excite_mean 0.422 0.422 0.422 fracstop 1.000 1.000 1.000 cjmean 3.005 3.005 3.005 libcent 0 180.0 179.7 180.2 libamp 0 91.0 76.5 104.7 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 238.3 223.1 250.8 kozaiamp 100.7 86.1 179.9