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: 15KG456 # Created Sun Feb 23 02:10:27 2025 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 55.94d # First observation: 2015/05/17 # Last observation: 2015/07/12 Preliminary a, adot, b, bdot, g, gdot: -0.000001 0.032721 -0.000008 -0.001097 0.027572 0.000000 # Chi-squared of fit: 6.52 DOF: 24 RMS: 0.12 # Min/Max residuals: -0.27 0.26 # Exact a, adot, b, bdot, g, gdot: 1.806681E-05 2.848751E-02 -2.038505E-06 -2.258698E-03 2.691383E-02 -2.846290E-03 # Covariance matrix: 3.4214E-13 4.3226E-11 -4.0689E-14 1.0660E-11 1.0752E-11 4.4316E-11 4.3226E-11 5.8087E-08 -8.4337E-11 1.5675E-08 9.6682E-09 -1.2830E-06 -4.0689E-14 -8.4337E-11 2.7751E-13 -2.4104E-11 -1.3534E-11 2.0187E-09 1.0660E-11 1.5675E-08 -2.4104E-11 4.2674E-09 2.5819E-09 -3.5496E-07 1.0752E-11 9.6682E-09 -1.3534E-11 2.5819E-09 1.6821E-09 -1.9165E-07 4.4316E-11 -1.2830E-06 2.0187E-09 -3.5496E-07 -1.9165E-07 3.5042E-05 # lat0 lon0 xBary yBary zBary JD0 14.120082 -141.163265 -0.300186 0.235226 -0.934705 2457159.907658 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 323.75587 +/- 41.024 Argument of Peri: 155.10112 +/- 61.253 Long of Asc Node: 110.24798 +/- 0.422 Inclination: 14.52978 +/- 0.036 Eccentricity: 0.13385331 +/- 0.1754 Semi-Major Axis: 42.35602352 +/- 2.6013 Time of Perihelion: 2467287.4273 +/- 11435.8 Perihelion: 36.68652955 +/- 7.7643 Aphelion: 48.02551749 +/- 7.9942 Period (y) 275.6646 +/- 25.39 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -28.63285449 +/- 0.0428 Ecliptic Y -23.43514433 +/- 0.0344 Ecliptic Z 9.06427966 +/- 0.0138 Ecliptic XDOT 0.00198953 +/- 0.0005 Ecliptic YDOT -0.00212250 +/- 0.0004 Ecliptic ZDOT -0.00029339 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 38.09471764 +/- 0.0386 Geocenter to KBO 37.15562037 +/- 0.0566 # Hcoef: 9.32
The following table shows the complete astrometric record for 15KG456. 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 (15KG456) followed by the observatory code and reference code for the source of the astrometry.
2015 05 17.40688 14 43 42.89 -01 02 10.8 25.2g 15KG456 T09 C~8eSQ 2015 05 17.46303 14 43 42.64 -01 02 10.3 25.5g 15KG456 T09 C~8eSQ 2015 05 17.48635 14 43 42.50 -01 02 09.8 25.6g 15KG456 T09 C~8eSQ 2015 05 17.49695 14 43 42.47 -01 02 09.6 25.6g 15KG456 T09 C~8eSQ 2015 05 21.37537 14 43 23.73 -01 01 13.0 24.6i 15KG456 T09 C~8eSQ 2015 05 21.38488 14 43 23.67 -01 01 12.9 25.2i 15KG456 T09 C~8eSQ 2015 05 21.39295 14 43 23.64 -01 01 12.7 25.0i 15KG456 T09 C~8eSQ 2015 05 21.40372 14 43 23.58 -01 01 12.5 25.2i 15KG456 T09 C~8eSQ 2015 05 21.41449 14 43 23.54 -01 01 12.3 24.4i 15KG456 T09 C~8eSQ 2015 05 26.31363 14 43 00.55 -01 00 12.4 23.9y 15KG456 T09 C~8eSQ 2015 05 26.32836 14 43 00.49 -01 00 12.0 24.9y 15KG456 T09 C~8eSQ 2015 07 12.25545 14 40 31.44 -01 02 29.3 25.4z 15KG456 T09 C~8eSQ 2015 07 12.31035 14 40 31.38 -01 02 30.3 25.1z 15KG456 T09 C~8eSQ 2015 07 12.33192 14 40 31.35 -01 02 30.6 25.3z 15KG456 T09 C~8eSQ 2015 07 12.34809 14 40 31.33 -01 02 30.9 25.5z 15KG456 T09 C~8eSQ
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 -0.27 0.00 0.15
2 0.0002 -3.72 0.26 -0.69 -0.08
3 0.0002 -5.87 -0.13 -0.86 -0.06
4 0.0002 -6.36 0.19 -0.81 0.08
5 0.0109 -291.12 0.09 -34.10 -0.06
6 0.0109 -292.01 -0.10 -34.28 -0.16
7 0.0109 -292.50 0.01 -34.23 -0.03
8 0.0109 -293.41 -0.12 -34.32 -0.01
9 0.0110 -294.05 0.04 -34.32 0.10
10 0.0244 -640.43 -0.01 -84.23 -0.09
11 0.0244 -641.41 0.05 -84.13 0.18
12 0.1529 -2724.26 -0.21 -907.78 -0.04
13 0.1531 -2724.80 0.07 -909.01 -0.03
14 0.1531 -2725.14 0.05 -909.44 0.04
15 0.1532 -2725.33 0.09 -909.82 0.02
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.
15KG456 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