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: 15JO13 # Created Sun Feb 23 02:10:24 2025 # Orbit generated from Bernstein formalism # Fitting 11 observations of 11 # Arc: 8.04d # First observation: 2015/05/15 # Last observation: 2015/05/23 Preliminary a, adot, b, bdot, g, gdot: -0.000000 0.046903 -0.000000 -0.007715 0.033699 0.000000 # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # WARNING Fitting with energy constraint # WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution # Chi-squared of fit: 0.79 DOF: 17 RMS: 0.05 # Min/Max residuals: -0.09 0.10 # Exact a, adot, b, bdot, g, gdot: 1.825003E-05 3.761275E-02 -4.090059E-06 -8.580840E-03 3.212003E-02 4.805202E-03 # Covariance matrix: 1.1756E-11 2.0897E-08 1.2659E-13 1.9072E-09 3.6426E-09 -4.2264E-08 2.0897E-08 3.8153E-05 2.1919E-10 3.4824E-06 6.6394E-06 -8.7430E-05 1.2659E-13 2.1919E-10 2.5000E-13 5.3499E-12 3.8611E-11 2.8208E-10 1.9072E-09 3.4824E-06 5.3499E-12 3.1975E-07 6.0593E-07 -8.1679E-06 3.6426E-09 6.6394E-06 3.8611E-11 6.0593E-07 1.1557E-06 -1.4807E-05 -4.2264E-08 -8.7430E-05 2.8208E-10 -8.1679E-06 -1.4807E-05 8.8948E-04 # lat0 lon0 xBary yBary zBary JD0 12.271964 -145.517570 -0.341162 0.201927 -0.927868 2457157.949467 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 27.08758 +/- 100.158 Argument of Peri: 93.32030 +/- 181.646 Long of Asc Node: 76.98859 +/- 6.305 Inclination: 17.53104 +/- 2.030 Eccentricity: 0.23513438 +/- 0.5423 Semi-Major Axis: 39.73818702 +/- 11.1042 Time of Perihelion: 2450265.9074 +/- 25292.2 Perihelion: 30.39437312 +/- 23.1649 Aphelion: 49.08200092 +/- 25.5457 Period (y) 250.5072 +/- 105.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -25.66930124 +/- 0.8394 Ecliptic Y -18.04264335 +/- 0.5764 Ecliptic Z 6.61736904 +/- 0.2215 Ecliptic XDOT 0.00135420 +/- 0.0022 Ecliptic YDOT -0.00296346 +/- 0.0013 Ecliptic ZDOT -0.00062757 +/- 0.0005 # Distances at JD0 (AU) Heliocenter to KBO 32.06617498 +/- 0.7475 Geocenter to KBO 31.13322179 +/- 1.0420 # Hcoef: 8.73
The following table shows the complete astrometric record for 15JO13. 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 (15JO13) followed by the observatory code and reference code for the source of the astrometry.
2015 05 15.448689 14 25 16.905 -01 26 06.25 23.4r 15JO13 568 C~2TuN 2015 05 15.463998 14 25 16.816 -01 26 06.00 23.5r 15JO13 568 C~2TuN 2015 05 15.481133 14 25 16.714 -01 26 05.69 23.5r 15JO13 568 C~2TuN 2015 05 17.348323 14 25 06.224 -01 25 36.58 24.2g 15JO13 568 C~2TuN 2015 05 17.351168 14 25 06.204 -01 25 36.54 24.2g 15JO13 568 C~2TuN 2015 05 17.367074 14 25 06.119 -01 25 36.33 24.3g 15JO13 568 C~2TuN 2015 05 17.433199 14 25 05.741 -01 25 35.37 24.6g 15JO13 568 C~2TuN 2015 05 17.448202 14 25 05.654 -01 25 35.17 24.5g 15JO13 568 C~2TuN 2015 05 23.40107 14 24 33.16 -01 24 17.1 23.5z 15JO13 T09 C~8eSC 2015 05 23.47449 14 24 32.76 -01 24 16.1 24.1z 15JO13 T09 C~8eSC 2015 05 23.48907 14 24 32.68 -01 24 16.1 23.2z 15JO13 T09 C~8eSC
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 0.05 0.00 -0.03
2 0.0000 -1.34 0.04 -0.20 -0.03
3 0.0001 -2.89 -0.02 -0.41 -0.01
4 0.0052 -161.04 -0.04 -24.51 0.06
5 0.0052 -161.33 -0.09 -24.57 0.04
6 0.0053 -162.61 0.00 -24.79 0.04
7 0.0054 -168.28 -0.00 -25.74 0.00
8 0.0055 -169.57 -0.02 -25.98 -0.03
9 0.0218 -655.48 0.05 -112.07 -0.05
10 0.0220 -661.48 -0.04 -113.09 0.10
11 0.0220 -662.61 0.00 -113.48 -0.06
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.
15JO13 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