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: 04HX78
# Created Sun Dec 22 02:08:37 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 28 observations of 28
# Arc: 15.03y
# First observation: 2004/04/24
# Last observation: 2019/05/06
# Chi-squared of fit: 41.95 DOF: 50 RMS: 0.22
# Min/Max residuals: -0.71 0.39
# Exact a, adot, b, bdot, g, gdot:
1.698066E-05 3.422782E-02 5.191465E-06 9.964452E-03 3.066501E-02 -9.894088E-04
# Covariance matrix:
1.3267E-13 -2.3493E-14 4.5140E-15 -4.6434E-15 9.1991E-14 -3.0184E-14
-2.3493E-14 2.8403E-14 -7.0024E-15 7.8028E-15 1.8666E-14 5.1467E-14
4.5140E-15 -7.0024E-15 7.7161E-14 -9.4172E-15 -4.5488E-15 -1.3736E-14
-4.6434E-15 7.8028E-15 -9.4172E-15 4.4997E-15 5.9123E-15 1.5318E-14
9.1991E-14 1.8666E-14 -4.5488E-15 5.9123E-15 2.3915E-13 3.9967E-14
-3.0184E-14 5.1467E-14 -1.3736E-14 1.5318E-14 3.9967E-14 1.0105E-13
# lat0 lon0 xBary yBary zBary JD0
0.986929 -127.224858 0.310615 0.016495 -0.954589 2453119.941913
# Heliocentric elements and errors
Epoch: 2453120.5000 = 2004/04/25
Mean Anomaly: 349.22525 +/- 0.004
Argument of Peri: 18.29094 +/- 0.006
Long of Asc Node: 228.94844 +/- 0.000
Inclination: 16.26280 +/- 0.000
Eccentricity: 0.15494042 +/- 0.0001
Semi-Major Axis: 39.54336513 +/- 0.0031
Time of Perihelion: 2455838.9012 +/- 10.3
Perihelion: 33.41649954 +/- 0.0033
Aphelion: 45.67023072 +/- 0.0041
Period (y) 248.6673 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -20.55288319 +/- 0.0003
Ecliptic Y -26.53336623 +/- 0.0004
Ecliptic Z 0.56188860 +/- 0.0000
Ecliptic XDOT 0.00249304 +/- 0.0000
Ecliptic YDOT -0.00177308 +/- 0.0000
Ecliptic ZDOT 0.00088813 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 33.56721073 +/- 0.0004
Geocenter to KBO 32.61049794 +/- 0.0005
# Hcoef: 7.89
The following table shows the complete astrometric record for 04HX78. 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 (04HX78) followed by the observatory code and reference code for the source of the astrometry.
2004 04 24.44117 15 22 32.62 -17 30 39.2 22.6g 04HX78 568 C~0Uqw 2004 04 24.44259 15 22 32.59 -17 30 39.2 22.7g 04HX78 568 C~0Uqw 2004 04 25.44688 15 22 27.05 -17 30 12.1 23.5g 04HX78 568 C~0Uqw 2004 04 25.44830 15 22 27.05 -17 30 11.9 23.1g 04HX78 568 C~0Uqw 2004 04 25.47385 15 22 26.89 -17 30 11.4 23.1g 04HX78 568 C~0Uqw 2004 04 25.47527 15 22 26.90 -17 30 11.2 23.2g 04HX78 568 C~0Uqw 2004 04 25.49645 15 22 26.76 -17 30 10.6 23.1g 04HX78 568 C~0Uqw 2004 04 25.49784 15 22 26.78 -17 30 10.5 23.3g 04HX78 568 C~0Uqw 2004 07 08.29430 15 16 17.46 -17 00 22.5 23.4i 04HX78 568 C~0Uqw 2004 07 08.35606 15 16 17.28 -17 00 21.7 23.1i 04HX78 568 C~0Uqw 2004 07 08.41734 15 16 17.11 -17 00 20.7 23.0i 04HX78 568 C~0Uqw 2005 05 08.44136 15 29 49.41 -17 20 24.7 23.0r 04HX78 568 C~0Uqw 2005 05 08.50503 15 29 49.03 -17 20 23.0 23.3r 04HX78 568 C~0Uqw 2005 05 10.49780 15 29 37.37 -17 19 29.0 22.8r 04HX78 568 C~0Uqw 2005 07 08.29741 15 24 45.85 -16 57 18.9 22.9r 04HX78 568 C~0Uqw 2005 07 08.34779 15 24 45.70 -16 57 18.2 23.0r 04HX78 568 C~0Uqw 2005 07 08.39956 15 24 45.55 -16 57 17.5 23.7r 04HX78 568 C~0Uqw 2006 06 30.26641 15 33 44.56 -16 54 57.4 23.6r 04HX78 568 C~0Uqw 2006 07 01.28822 15 33 40.59 -16 54 40.6 23.1r 04HX78 568 C~0Uqw 2006 07 01.30127 15 33 40.54 -16 54 40.4 23.3r 04HX78 568 C~0Uqw 2007 04 20.367631 15 48 43.38 -17 16 12.1 04HX78 645 C~1ReF 2007 04 20.368460 15 48 43.38 -17 16 12.1 04HX78 645 C~1ReF 2007 04 20.370948 15 48 43.37 -17 16 12.1 04HX78 645 C~1ReF 2014 05 30.25809 16 44 52.34 -15 37 04.6 23.3R 04HX78 695 C~1LJL 2014 05 30.38890 16 44 51.52 -15 37 02.5 04HX78 695 C~1LJL 2014 05 30.42589 16 44 51.30 -15 37 01.8 04HX78 695 C~1LJL 2019 05 06.408460 17 29 03.45 -14 07 54.9 23.8G 04HX78 705 C~39ne 2019 05 06.454280 17 29 03.25 -14 07 54.2 23.9G 04HX78 705 C~39ne
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 0.14 0.00 -0.05
2 0.0000 0.00 -0.19 0.00 -0.08
3 0.0028 0.00 -0.18 0.00 -0.11
4 0.0028 0.00 -0.06 0.00 0.05
5 0.0028 0.00 -0.30 0.00 -0.14
6 0.0028 0.00 -0.03 0.00 0.02
7 0.0029 0.00 -0.33 0.00 0.04
8 0.0029 0.00 0.08 0.00 0.11
9 0.2049 0.00 0.18 0.00 0.22
10 0.2051 0.00 0.07 0.00 0.11
11 0.2053 0.00 0.08 0.00 0.20
12 1.0376 0.00 0.04 0.00 0.14
13 1.0378 0.00 0.03 0.00 0.11
14 1.0433 0.00 0.33 0.00 0.02
15 1.2043 0.00 0.03 0.00 0.22
16 1.2044 0.00 0.09 0.00 0.20
17 1.2045 0.00 0.20 0.00 0.16
18 2.1816 0.00 -0.06 0.00 0.08
19 2.1844 0.00 -0.06 0.00 0.08
20 2.1844 0.00 -0.04 0.00 0.07
21 2.9868 0.00 -0.04 0.00 -0.63
22 2.9868 0.00 0.02 0.00 -0.65
23 2.9868 0.00 0.06 0.00 -0.71
24 10.0967 0.00 0.13 0.00 0.39
25 10.0971 0.00 -0.20 0.00 0.21
26 10.0972 0.00 -0.13 0.00 0.27
27 15.0307 0.00 -0.02 0.00 -0.07
28 15.0308 0.00 0.09 0.00 -0.23
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.
04HX78 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.186 39.185 39.186 ecceobj 0.148 0.148 0.148 incobj 16.319 16.319 16.319 qmin 32.267 32.267 32.267 qmax 46.962 46.963 46.961 amean 39.456 39.456 39.456 amin 39.144 39.144 39.144 amax 39.820 39.819 39.820 emean 0.149 0.149 0.149 emin 0.120 0.120 0.120 emax 0.181 0.181 0.181 imean 17.424 17.424 17.424 imin 16.292 16.292 16.292 imax 18.479 18.479 18.479 excite_mean 0.335 0.335 0.335 fracstop 1.000 1.000 1.000 cjmean 2.922 2.922 2.922 libcent 0 180.6 180.6 180.6 libamp 0 27.1 27.1 27.1 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 181.7 181.7 181.7 kozaiamp 180.0 180.0 180.0