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: 04HE79
# Created Sat Apr 20 01:11:48 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 19 observations of 19
# Arc: 10.97y
# First observation: 2004/04/24
# Last observation: 2015/04/15
# Chi-squared of fit: 24.40 DOF: 32 RMS: 0.20
# Min/Max residuals: -0.49 0.45
# Exact a, adot, b, bdot, g, gdot:
1.643235E-05 2.669376E-02 -1.090777E-06 -1.380122E-03 2.565073E-02 1.486437E-04
# Covariance matrix:
2.3808E-13 -1.0853E-13 -4.5560E-15 4.6098E-15 4.0616E-14 -2.8422E-13
-1.0853E-13 2.3217E-13 1.2613E-14 -1.2245E-14 4.1732E-13 7.5350E-13
-4.5560E-15 1.2613E-14 1.2631E-13 -1.7080E-14 2.4817E-14 4.2092E-14
4.6098E-15 -1.2245E-14 -1.7080E-14 6.1491E-15 -2.3572E-14 -4.0812E-14
4.0616E-14 4.1732E-13 2.4817E-14 -2.3572E-14 1.3572E-12 1.4489E-12
-2.8422E-13 7.5350E-13 4.2092E-14 -4.0812E-14 1.4489E-12 2.5111E-12
# lat0 lon0 xBary yBary zBary JD0
0.921901 -133.802127 0.199502 0.015883 -0.983834 2453119.924843
# Heliocentric elements and errors
Epoch: 2453120.5000 = 2004/04/25
Mean Anomaly: 1.50716 +/- 0.031
Argument of Peri: 161.19540 +/- 0.038
Long of Asc Node: 62.83297 +/- 0.001
Inclination: 3.08562 +/- 0.000
Eccentricity: 0.10158962 +/- 0.0001
Semi-Major Axis: 44.48838641 +/- 0.0079
Time of Perihelion: 2452666.7405 +/- 9.2
Perihelion: 39.96882823 +/- 0.0089
Aphelion: 49.00794460 +/- 0.0103
Period (y) 296.7414 +/- 0.08
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -27.80935953 +/- 0.0012
Ecliptic Y -28.70379389 +/- 0.0013
Ecliptic Z 0.62723606 +/- 0.0000
Ecliptic XDOT 0.00204071 +/- 0.0000
Ecliptic YDOT -0.00199221 +/- 0.0000
Ecliptic ZDOT -0.00014691 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.97075848 +/- 0.0013
Geocenter to KBO 38.98527249 +/- 0.0018
# Hcoef: 7.35
The following table shows the complete astrometric record for 04HE79. 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 (04HE79) followed by the observatory code and reference code for the source of the astrometry.
2004 04 24.42410 14 56 01.63 -15 48 02.2 04HE79 568 C~0VDp 2004 04 24.45029 14 56 01.49 -15 48 01.4 04HE79 568 C~0VDp 2004 04 25.42986 14 55 56.72 -15 47 41.4 23.7g 04HE79 568 C~0VDp 2004 04 25.45256 14 55 56.61 -15 47 40.9 23.1g 04HE79 568 C~0VDp 2004 04 25.47950 14 55 56.50 -15 47 40.4 23.4g 04HE79 568 C~0VDp 2005 05 08.41692 15 00 54.69 -16 13 56.8 04HE79 568 C~0VDp 2005 05 08.44886 15 00 54.51 -16 13 56.0 04HE79 568 C~0VDp 2005 05 08.48061 15 00 54.36 -16 13 55.3 04HE79 568 C~0VDp 2005 05 10.47358 15 00 44.35 -16 13 15.1 04HE79 568 C~0VDp 2006 06 30.30384 15 03 11.89 -16 29 37.3 23.6r 04HE79 568 C~0VDp 2006 06 30.31228 15 03 11.83 -16 29 38.1 24.1r 04HE79 568 C~0VDp 2006 07 01.29940 15 03 09.10 -16 29 28.1 23.2r 04HE79 568 C~0VDp 2006 07 01.31252 15 03 09.06 -16 29 28.2 23.1r 04HE79 568 C~0VDp 2007 05 16.31166 15 12 25.70 -17 10 59.5 04HE79 675 C~0VDp 2007 05 16.35636 15 12 25.47 -17 10 58.7 04HE79 675 C~0VDp 2007 05 16.39674 15 12 25.27 -17 10 58.1 04HE79 675 C~0VDp 2015 04 15.38954 16 04 21.10 -20 44 59.4 23.5R 04HE79 695 C~1RHU 2015 04 15.42706 16 04 20.97 -20 44 58.8 04HE79 695 C~1RHU 2015 04 15.46480 16 04 20.82 -20 44 58.4 04HE79 695 C~1RHU
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 0.05
2 0.0001 0.00 -0.13 0.00 0.31
3 0.0028 0.00 0.03 0.00 0.18
4 0.0028 0.00 0.08 0.00 0.21
5 0.0029 0.00 0.45 0.00 0.15
6 1.0376 0.00 -0.00 0.00 -0.18
7 1.0377 0.00 -0.25 0.00 -0.03
8 1.0378 0.00 -0.06 0.00 0.02
9 1.0433 0.00 -0.11 0.00 -0.21
10 2.1817 0.00 0.20 0.00 0.39
11 2.1818 0.00 -0.33 0.00 -0.49
12 2.1845 0.00 -0.01 0.00 -0.20
13 2.1845 0.00 -0.06 0.00 -0.43
14 3.0579 0.00 -0.01 0.00 0.12
15 3.0580 0.00 -0.02 0.00 0.07
16 3.0581 0.00 0.08 0.00 -0.10
17 10.9732 0.00 -0.15 0.00 -0.11
18 10.9733 0.00 0.11 0.00 0.12
19 10.9734 0.00 0.09 0.00 0.15
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.
04HE79 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.023 44.023 44.023 ecceobj 0.092 0.092 0.092 incobj 3.095 3.095 3.095 qmin 39.474 39.474 39.475 qmax 49.553 49.554 49.556 amean 44.370 44.370 44.370 amin 44.014 44.013 44.013 amax 44.752 44.752 44.752 emean 0.092 0.092 0.092 emin 0.075 0.075 0.075 emax 0.108 0.107 0.108 imean 1.699 1.699 1.699 imin 0.946 0.946 0.946 imax 2.288 2.288 2.288 excite_mean 0.096 0.096 0.096 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 libcent 0 -180.0 -180.0 -180.0 libamp 0 -180.0 -180.0 -180.0 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 191.9 191.9 191.9 kozaiamp 179.9 179.9 180.0