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: 03HL57 # Created Fri Apr 19 01:11:22 2024 # Orbit generated from Bernstein formalism # Fitting 10 observations of 10 # Arc: 34.06d # First observation: 2003/04/26 # Last observation: 2003/05/30 Preliminary a, adot, b, bdot, g, gdot: 0.000000 0.016956 -0.000000 -0.001597 0.018972 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # Chi-squared of fit: 6.09 DOF: 15 RMS: 0.14 # Min/Max residuals: -0.41 0.23 # Exact a, adot, b, bdot, g, gdot: 1.245829E-05 1.411272E-02 -1.676191E-06 -1.558910E-03 1.849412E-02 -6.992358E-03 # Covariance matrix: 6.1180E-12 6.2100E-09 -5.7617E-14 -1.0091E-10 1.2379E-09 4.9581E-09 6.2100E-09 6.5320E-06 -6.0560E-11 -1.0606E-07 1.3011E-06 4.8664E-06 -5.7617E-14 -6.0560E-11 2.0891E-13 -1.2546E-12 -1.2070E-11 -4.9991E-11 -1.0091E-10 -1.0606E-07 -1.2546E-12 1.8054E-09 -2.1140E-08 -8.8529E-08 1.2379E-09 1.3011E-06 -1.2070E-11 -2.1140E-08 2.5933E-07 1.0807E-06 4.9581E-09 4.8664E-06 -4.9991E-11 -8.8529E-08 1.0807E-06 7.9979E-05 # lat0 lon0 xBary yBary zBary JD0 -1.353537 -162.747800 -0.322216 -0.022539 -0.953818 2452755.832703 # Heliocentric elements and errors Epoch: 2452750.5000 = 2003/04/21 Mean Anomaly: 297.50084 +/- 62.977 Argument of Peri: 305.33621 +/- 35.103 Long of Asc Node: 5.61384 +/- 1.764 Inclination: 6.38792 +/- 0.928 Eccentricity: 0.43405025 +/- 0.4912 Semi-Major Axis: 56.16279286 +/- 28.8404 Time of Perihelion: 2479440.1676 +/- 17338.6 Perihelion: 31.78531854 +/- 32.0543 Aphelion: 80.54026718 +/- 49.7152 Period (y) 420.9022 +/- 324.21 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -52.44160119 +/- 1.4215 Ecliptic Y -16.61893574 +/- 0.4413 Ecliptic Z -1.27731268 +/- 0.0352 Ecliptic XDOT 0.00160696 +/- 0.0013 Ecliptic YDOT -0.00169163 +/- 0.0006 Ecliptic ZDOT -0.00020608 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 55.02673975 +/- 1.3613 Geocenter to KBO 54.07123191 +/- 1.4889 # Hcoef: 6.37
The following table shows the complete astrometric record for 03HL57. 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 (03HL57) followed by the observatory code and reference code for the source of the astrometry.
2003 04 26.33196 13 01 31.36 -08 01 31.3 23.6R 03HL57 568 Cq9883 2003 04 26.33991 13 01 31.34 -08 01 31.1 23.4R 03HL57 568 Cq9883 2003 04 26.37420 13 01 31.22 -08 01 30.3 23.2R 03HL57 568 Cq9883 2003 04 26.38475 13 01 31.19 -08 01 30.2 23.8R 03HL57 568 Cq9883 2003 04 26.41661 13 01 31.08 -08 01 29.7 23.1R 03HL57 568 Cq9883 2003 04 26.42714 13 01 31.02 -08 01 29.8 23.2R 03HL57 568 Cq9883 2003 04 27.38355 13 01 27.81 -08 01 10.2 03HL57 568 Cq9883 2003 05 30.291249 12 59 56.69 -07 51 47.4 23.8r 03HL57 568 C~5V8p 2003 05 30.344512 12 59 56.58 -07 51 46.8 23.8r 03HL57 568 C~5V8p 2003 05 30.391341 12 59 56.48 -07 51 46.3 23.8r 03HL57 568 C~5V8p
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 -0.08 0.00 0.07
2 0.0000 -0.35 0.01 0.07 0.15
3 0.0001 -2.30 -0.06 0.13 0.23
4 0.0001 -2.75 0.07 0.05 0.16
5 0.0002 -4.45 0.13 -0.12 0.02
6 0.0003 -5.24 -0.08 -0.55 -0.41
7 0.0029 -56.79 0.01 -0.74 -0.23
8 0.0930 -1522.84 -0.03 -1.06 0.09
9 0.0931 -1524.58 0.01 -1.14 0.02
10 0.0932 -1526.14 0.01 -1.25 -0.10
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.
03HL57 quality flag:0 Type: ERR2LARGE ERR2LARGE ERR2LARGE axisobj 0.000 0.000 0.000 ecceobj -1.000 -1.000 -1.000 incobj -1.000 -1.000 -1.000 qmin 0.000 0.000 0.000 qmax 0.000 0.000 0.000 amean 0.000 0.000 0.000 amin 0.000 0.000 0.000 amax 0.000 0.000 0.000 emean 0.000 0.000 0.000 emin 0.000 0.000 0.000 emax 0.000 0.000 0.000 imean 0.000 0.000 0.000 imin 0.000 0.000 0.000 imax 0.000 0.000 0.000 excite_mean 0.000 0.000 0.000 fracstop 0.000 0.000 0.000 cjmean 0.000 0.000 0.000 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 0.0 0.0 0.0 kozaiamp 0.0 0.0 0.0