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: 04HA79 # Created Tue Sep 30 01:08:46 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 28 observations of 28 # Arc: 15.11y # First observation: 2004/04/26 # Last observation: 2019/06/06 # Chi-squared of fit: 16.01 DOF: 50 RMS: 0.13 # Min/Max residuals: -0.39 0.32 # Exact a, adot, b, bdot, g, gdot: 1.520580E-05 2.458208E-02 5.862630E-06 1.026373E-02 2.672498E-02 6.558982E-03 # Covariance matrix: 2.2783E-13 -8.1659E-14 3.1657E-14 -2.8628E-14 2.2057E-13 -2.2732E-13 -8.1659E-14 5.3110E-14 -2.3431E-14 2.1153E-14 -1.2794E-13 1.6748E-13 3.1657E-14 -2.3431E-14 1.3766E-13 -2.1647E-14 5.6361E-14 -7.6792E-14 -2.8628E-14 2.1153E-14 -2.1647E-14 1.0733E-14 -5.1267E-14 6.9316E-14 2.2057E-13 -1.2794E-13 5.6361E-14 -5.1267E-14 6.8245E-13 -4.1105E-13 -2.2732E-13 1.6748E-13 -7.6792E-14 6.9316E-14 -4.1105E-13 5.4870E-13 # lat0 lon0 xBary yBary zBary JD0 0.561117 -155.765038 -0.214976 0.009671 -0.981266 2453121.828513 # Heliocentric elements and errors Epoch: 2453122.5000 = 2004/04/27 Mean Anomaly: 69.10290 +/- 0.020 Argument of Peri: 263.84886 +/- 0.025 Long of Asc Node: 203.24078 +/- 0.000 Inclination: 22.65919 +/- 0.000 Eccentricity: 0.24706372 +/- 0.0000 Semi-Major Axis: 39.56779842 +/- 0.0060 Time of Perihelion: 2435672.1148 +/- 6.4 Perihelion: 29.79203111 +/- 0.0047 Aphelion: 49.34356573 +/- 0.0076 Period (y) 248.8978 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -34.92907036 +/- 0.0011 Ecliptic Y -15.95595421 +/- 0.0005 Ecliptic Z 0.36667850 +/- 0.0000 Ecliptic XDOT 0.00042743 +/- 0.0000 Ecliptic YDOT -0.00257489 +/- 0.0000 Ecliptic ZDOT 0.00105813 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 38.40254485 +/- 0.0010 Geocenter to KBO 37.41806973 +/- 0.0012 # Hcoef: 6.89
The following table shows the complete astrometric record for 04HA79. 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 (04HA79) followed by the observatory code and reference code for the source of the astrometry.
2004 04 26.32777 13 30 35.93 -08 52 31.5 23.4g 04HA79 568 C~0Uqw 2004 04 26.34900 13 30 35.83 -08 52 31.0 23.5g 04HA79 568 C~0Uqw 2004 04 26.37536 13 30 35.69 -08 52 30.0 23.3g 04HA79 568 C~0Uqw 2004 06 20.26453 13 27 28.81 -08 29 07.7 22.9i 04HA79 568 C~0Uqw 2004 06 20.31329 13 27 28.73 -08 29 07.1 23.0i 04HA79 568 C~0Uqw 2004 06 20.36533 13 27 28.66 -08 29 06.4 23.0i 04HA79 568 C~0Uqw 2005 05 04.34296 13 36 08.38 -08 46 22.4 04HA79 568 C~0Uqw 2005 05 04.37716 13 36 08.21 -08 46 21.3 04HA79 568 C~0Uqw 2005 05 04.41844 13 36 08.02 -08 46 20.0 04HA79 568 C~0Uqw 2005 05 05.38801 13 36 03.57 -08 45 49.4 04HA79 568 C~0Uqw 2006 05 02.23299 13 42 23.36 -08 45 27.0 22.3r 04HA79 695 C~0Uqw 2006 05 02.30778 13 42 23.02 -08 45 24.6 22.6r 04HA79 695 C~0Uqw 2006 05 03.34439 13 42 18.16 -08 44 51.5 22.6r 04HA79 695 C~0Uqw 2013 03 13.40930 14 26 07.30 -08 45 26.5 22.7R 04HA79 695 C~0ud8 2013 03 13.48523 14 26 07.06 -08 45 24.4 04HA79 695 C~0ud8 2013 03 14.48077 14 26 04.05 -08 44 57.6 04HA79 695 C~0ud8 2014 04 24.300007 14 28 43.611 -08 20 12.42 23.0V 04HA79 W84 C~98JD 2014 04 24.303160 14 28 43.590 -08 20 12.33 22.8V 04HA79 W84 C~98JD 2014 04 24.306299 14 28 43.583 -08 20 12.16 23.1V 04HA79 W84 C~98JD 2014 04 25.316638 14 28 38.794 -08 19 42.45 22.2V 04HA79 W84 C~98JD 2014 04 25.322945 14 28 38.762 -08 19 42.16 22.5V 04HA79 W84 C~98JD 2014 04 25.326073 14 28 38.746 -08 19 42.30 22.6V 04HA79 W84 C~98JD 2014 04 26.199442 14 28 34.620 -08 19 16.34 23.1V 04HA79 W84 C~98JD 2014 04 26.209157 14 28 34.590 -08 19 16.08 22.8V 04HA79 W84 C~98JD 2014 04 26.212296 14 28 34.547 -08 19 16.16 23.0V 04HA79 W84 C~98JD 2019 06 06.232850 14 51 56.835 -07 38 05.54 23.3G 04HA79 G37 C~36jV 2019 06 06.301020 14 51 56.568 -07 38 04.48 04HA79 G37 C~36jV 2019 06 06.339970 14 51 56.399 -07 38 03.87 04HA79 G37 C~36jV
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 -0.11 0.00 0.09 2 0.0001 0.00 -0.06 0.00 -0.13 3 0.0001 0.00 -0.23 0.00 -0.03 4 0.1504 0.00 0.06 0.00 0.04 5 0.1505 0.00 -0.06 0.00 -0.01 6 0.1507 0.00 0.04 0.00 -0.01 7 1.0213 0.00 0.27 0.00 0.08 8 1.0214 0.00 0.13 0.00 0.08 9 1.0215 0.00 0.19 0.00 0.05 10 1.0241 0.00 0.08 0.00 -0.39 11 2.0148 0.00 -0.31 0.00 0.19 12 2.0150 0.00 -0.04 0.00 0.19 13 2.0178 0.00 -0.05 0.00 0.12 14 8.8791 0.00 -0.11 0.00 -0.12 15 8.8793 0.00 -0.19 0.00 -0.05 16 8.8820 0.00 0.26 0.00 -0.01 17 9.9931 0.00 -0.00 0.00 -0.00 18 9.9931 0.00 -0.09 0.00 -0.01 19 9.9931 0.00 0.03 0.00 0.07 20 9.9959 0.00 -0.02 0.00 -0.09 21 9.9959 0.00 -0.04 0.00 0.02 22 9.9959 0.00 -0.06 0.00 -0.22 23 9.9983 0.00 0.07 0.00 0.03 24 9.9983 0.00 0.32 0.00 0.01 25 9.9983 0.00 -0.10 0.00 -0.16 26 15.1099 0.00 -0.01 0.00 0.12 27 15.1101 0.00 0.08 0.00 0.09 28 15.1102 0.00 -0.12 0.00 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.
04HA79 quality flag:3 Type: 3:2E 3:2E 3:2E Type: 6:4II 6:4II 6:4II axisobj 39.159 39.159 39.159 ecceobj 0.246 0.246 0.246 incobj 22.771 22.771 22.771 qmin 27.677 27.674 27.682 qmax 51.635 51.666 51.597 amean 39.454 39.454 39.453 amin 39.066 39.071 39.061 amax 39.932 39.934 39.929 emean 0.256 0.256 0.256 emin 0.210 0.210 0.210 emax 0.297 0.297 0.297 imean 22.367 22.367 22.367 imin 20.958 20.958 20.958 imax 23.581 23.582 23.582 excite_mean 0.459 0.459 0.459 fracstop 1.000 1.000 1.000 cjmean 2.809 2.809 2.809 libcent 0 179.8 179.4 180.0 libamp 0 54.4 53.8 54.4 libcent 1 182.4 182.3 182.1 libamp 1 146.8 147.2 147.2 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 270.5 270.5 270.5 kozaiamp 30.1 30.2 30.1