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: 02WL21 # Created Mon Apr 23 01:37:20 2018 # Orbit generated from Bernstein formalism # Fitting 19 observations of 19 # Arc: 12.22y # First observation: 2002/11/28 # Last observation: 2015/02/18 Preliminary a, adot, b, bdot, g, gdot: -0.000093 0.024387 -0.000008 0.001080 0.024064 0.000000 # Chi-squared of fit: 28.99 DOF: 32 RMS: 0.22 # Min/Max residuals: -0.50 0.43 # Exact a, adot, b, bdot, g, gdot: 1.559499E-05 2.437101E-02 5.535009E-07 1.075648E-03 2.460966E-02 6.410941E-04 # Covariance matrix: 2.2221E-13 -1.0031E-13 3.9968E-15 -3.7809E-15 -7.4690E-14 -2.7611E-13 -1.0031E-13 8.6370E-14 -4.1715E-15 3.9223E-15 7.7887E-15 2.9159E-13 3.9968E-15 -4.1715E-15 1.2715E-13 -1.5082E-14 3.4195E-15 -1.6452E-14 -3.7809E-15 3.9223E-15 -1.5082E-14 4.6461E-15 -2.9675E-15 1.5365E-14 -7.4690E-14 7.7887E-15 3.4195E-15 -2.9675E-15 7.1844E-13 -2.7416E-13 -2.7611E-13 2.9159E-13 -1.6452E-14 1.5365E-14 -2.7416E-13 1.1648E-12 # lat0 lon0 xBary yBary zBary JD0 0.336429 75.432022 0.165979 0.005681 -0.968466 2452606.845423 # Heliocentric elements and errors Epoch: 2452600.5000 = 2002/11/22 Mean Anomaly: 25.15940 +/- 0.050 Argument of Peri: 339.87717 +/- 0.055 Long of Asc Node: 67.80593 +/- 0.001 Inclination: 2.54899 +/- 0.000 Eccentricity: 0.04573075 +/- 0.0001 Semi-Major Axis: 43.38571815 +/- 0.0064 Time of Perihelion: 2445305.6484 +/- 14.5 Perihelion: 41.40165658 +/- 0.0077 Aphelion: 45.36977972 +/- 0.0082 Period (y) 285.7777 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.62305717 +/- 0.0003 Ecliptic Y 40.22804040 +/- 0.0014 Ecliptic Z 0.23861207 +/- 0.0000 Ecliptic XDOT -0.00261371 +/- 0.0000 Ecliptic YDOT 0.00074665 +/- 0.0000 Ecliptic ZDOT 0.00012029 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.60770978 +/- 0.0013 Geocenter to KBO 40.63444829 +/- 0.0014 # Hcoef: 7.95
The following table shows the complete astrometric record for 02WL21. 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 (02WL21) followed by the observatory code and reference code for the source of the astrometry.
2002 11 28.34468 04 56 34.85 +22 58 38.9 23.3R 02WL21 568 Cq9881 2002 11 28.39313 04 56 34.59 +22 58 38.4 23.4R 02WL21 568 Cq9881 2002 11 28.46548 04 56 34.21 +22 58 38.0 23.5R 02WL21 568 Cq9881 2002 11 29.33724 04 56 29.57 +22 58 31.4 02WL21 568 Cq9881 2003 10 03.47532 05 06 06.40 +23 14 46.0 23.7i 02WL21 568 Cq9881 2003 10 03.53159 05 06 06.30 +23 14 45.9 23.8i 02WL21 568 Cq9881 2003 10 03.58753 05 06 06.22 +23 14 45.8 23.7i 02WL21 568 Cq9881 2003 12 16.33458 05 01 00.60 +23 09 00.5 24.5g 02WL21 568 Cq9881 2003 12 16.36097 05 01 00.46 +23 09 00.1 24.1g 02WL21 568 Cq9881 2003 12 16.38727 05 01 00.31 +23 09 00.0 24.2g 02WL21 568 Cq9881 2003 12 17.40625 05 00 54.87 +23 08 52.6 02WL21 568 Cq9881 2005 11 05.50006 05 16 26.45 +23 34 39.4 02WL21 695 Cq9881 2006 12 06.48171 05 19 56.89 +23 42 13.1 23.0R 02WL21 250 S~06Ab 2006 12 06.48611 05 19 56.86 +23 42 13.1 02WL21 250 S~06Ab 2006 12 06.49051 05 19 56.84 +23 42 13.1 02WL21 250 S~06Ab 2006 12 06.49491 05 19 56.81 +23 42 13.1 02WL21 250 S~06Ab 2015 02 18.13741 06 02 41.21 +24 29 13.2 23.4R 02WL21 695 C~1M67 2015 02 18.18449 06 02 41.08 +24 29 13.3 02WL21 695 C~1M67 2015 02 18.23098 06 02 40.98 +24 29 13.1 02WL21 695 C~1M67
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 0.01 0.00 0.03 2 0.0001 -3.62 0.01 -0.11 -0.13 3 0.0003 -8.88 0.17 0.07 -0.02 4 0.0027 -73.30 -0.09 0.47 -0.18 5 0.8464 7946.28 0.13 169.20 0.24 6 0.8465 7944.90 -0.06 169.23 0.18 7 0.8467 7943.79 0.04 169.23 0.11 8 1.0486 3712.99 -0.03 233.40 0.40 9 1.0486 3711.03 -0.01 233.20 0.17 10 1.0487 3708.96 -0.10 233.31 0.27 11 1.0515 3633.54 -0.07 233.54 -0.02 12 2.9381 16582.76 -0.35 646.95 0.43 13 4.0223 19521.93 0.15 894.19 -0.50 14 4.0223 19521.52 0.07 894.22 -0.48 15 4.0223 19521.24 0.12 894.24 -0.46 16 4.0223 19520.83 0.03 894.27 -0.44 17 12.2239 55955.90 0.03 2702.40 0.10 18 12.2241 55953.99 -0.15 2702.49 0.23 19 12.2242 55952.52 0.08 2702.26 0.07
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.
02WL21 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.438 43.457 43.419 ecceobj 0.049 0.049 0.048 incobj 2.544 2.544 2.544 qmin 39.916 39.876 39.902 qmax 46.652 46.701 46.657 amean 43.164 43.183 43.145 amin 42.829 42.849 42.815 amax 43.512 43.545 43.496 emean 0.054 0.054 0.054 emin 0.033 0.033 0.032 emax 0.072 0.073 0.073 imean 1.045 1.045 1.047 imin 0.000 0.000 0.020 imax 1.709 1.707 1.717 excite_mean 0.058 0.058 0.058 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.087 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 163.4 162.7 163.7 kozaiamp 180.0 180.0 180.0