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: 04HY78
# Created Sat Apr 27 01:11:46 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 16 observations of 16
# Arc: 11.88y
# First observation: 2004/04/26
# Last observation: 2016/03/13
# Chi-squared of fit: 33.25 DOF: 26 RMS: 0.25
# Min/Max residuals: -0.58 0.61
# Exact a, adot, b, bdot, g, gdot:
1.921064E-05 3.849372E-02 -4.086002E-06 -8.591660E-03 3.245254E-02 -1.982181E-03
# Covariance matrix:
4.4843E-13 -2.1216E-13 -5.5371E-14 3.8207E-14 1.8945E-14 -3.3038E-13
-2.1216E-13 1.3636E-13 3.8787E-14 -2.6830E-14 2.0357E-14 2.3169E-13
-5.5371E-14 3.8787E-14 1.9080E-13 -3.8836E-14 1.4517E-14 7.2867E-14
3.8207E-14 -2.6830E-14 -3.8836E-14 1.7087E-14 -1.0831E-14 -5.0504E-14
1.8945E-14 2.0357E-14 1.4517E-14 -1.0831E-14 4.1160E-13 8.9782E-14
-3.3038E-13 2.3169E-13 7.2867E-14 -5.0504E-14 8.9782E-14 4.3564E-13
# lat0 lon0 xBary yBary zBary JD0
0.302840 -156.542691 -0.228227 0.005232 -0.978302 2453121.825683
# Heliocentric elements and errors
Epoch: 2453122.5000 = 2004/04/27
Mean Anomaly: 350.60407 +/- 0.005
Argument of Peri: 192.99843 +/- 0.007
Long of Asc Node: 25.17971 +/- 0.000
Inclination: 12.56288 +/- 0.000
Eccentricity: 0.20025558 +/- 0.0001
Semi-Major Axis: 39.55087116 +/- 0.0043
Time of Perihelion: 2455493.7098 +/- 14.3
Perihelion: 31.63058870 +/- 0.0044
Aphelion: 47.47115362 +/- 0.0058
Period (y) 248.7381 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -29.07747579 +/- 0.0006
Ecliptic Y -12.86319355 +/- 0.0002
Ecliptic Z 0.16275935 +/- 0.0000
Ecliptic XDOT 0.00143962 +/- 0.0000
Ecliptic YDOT -0.00292102 +/- 0.0000
Ecliptic ZDOT -0.00072558 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.79605948 +/- 0.0005
Geocenter to KBO 30.81429126 +/- 0.0006
# Hcoef: 8.33
The following table shows the complete astrometric record for 04HY78. 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 (04HY78) followed by the observatory code and reference code for the source of the astrometry.
2004 04 26.32494 13 27 17.22 -08 49 45.2 23.4g 04HY78 568 C~0Uqw 2004 04 26.34619 13 27 17.11 -08 49 44.4 23.8g 04HY78 568 C~0Uqw 2004 04 26.37253 13 27 16.95 -08 49 44.1 23.6g 04HY78 568 C~0Uqw 2006 05 01.38265 13 42 09.69 -11 19 41.1 23.3r 04HY78 568 C~0Uqw 2006 05 01.41297 13 42 09.51 -11 19 40.1 23.1r 04HY78 568 C~0Uqw 2006 05 01.44432 13 42 09.33 -11 19 39.3 23.0r 04HY78 568 C~0Uqw 2006 05 02.31899 13 42 04.23 -11 19 14.5 04HY78 568 C~0Uqw 2006 06 29.28370 13 38 21.43 -11 02 11.6 23.4r 04HY78 568 C~0Uqw 2006 06 29.29672 13 38 21.42 -11 02 11.8 23.0r 04HY78 568 C~0Uqw 2006 06 30.26416 13 38 20.42 -11 02 09.5 23.6r 04HY78 568 C~0Uqw 2007 02 21.45343 13 55 44.51 -12 59 39.4 04HY78 675 C~0Uqw 2007 02 21.50103 13 55 44.40 -12 59 39.1 23.1R 04HY78 675 C~0Uqw 2007 05 16.21706 13 48 34.16 -12 28 27.4 04HY78 675 C~0Uqw 2007 05 16.25885 13 48 33.94 -12 28 26.3 04HY78 675 C~0Uqw 2016 03 13.41598 15 08 29.91 -23 11 14.0 23.9R 04HY78 G37 C~1pPj 2016 03 13.50648 15 08 29.56 -23 11 15.2 04HY78 G37 C~1pPj
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 -0.10 0.00 0.02
2 0.0001 0.00 0.13 0.00 0.21
3 0.0001 0.00 0.05 0.00 -0.24
4 2.0125 0.00 0.09 0.00 -0.04
5 2.0126 0.00 0.10 0.00 0.10
6 2.0126 0.00 0.19 0.00 0.02
7 2.0150 0.00 -0.18 0.00 0.32
8 2.1737 0.00 -0.07 0.00 0.26
9 2.1738 0.00 0.01 0.00 0.02
10 2.1764 0.00 -0.10 0.00 0.17
11 2.8231 0.00 -0.19 0.00 -0.01
12 2.8232 0.00 0.00 0.00 -0.01
13 3.0524 0.00 -0.09 0.00 -0.44
14 3.0525 0.00 0.01 0.00 -0.40
15 11.8798 0.00 0.61 0.00 0.52
16 11.8800 0.00 -0.58 0.00 -0.43
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.
04HY78 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.059 39.059 39.059 ecceobj 0.191 0.191 0.191 incobj 12.616 12.616 12.616 qmin 30.797 30.797 30.797 qmax 48.560 48.564 48.556 amean 39.455 39.455 39.455 amin 39.021 39.020 39.021 amax 39.937 39.941 39.931 emean 0.192 0.192 0.192 emin 0.165 0.165 0.165 emax 0.217 0.217 0.217 imean 12.681 12.679 12.683 imin 11.853 11.853 11.853 imax 13.615 13.615 13.615 excite_mean 0.292 0.292 0.292 fracstop 1.000 1.000 1.000 cjmean 2.955 2.955 2.955 libcent 0 180.5 180.1 180.8 libamp 0 78.3 78.3 78.3 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 177.6 177.7 177.4 kozaiamp 179.9 180.0 180.0