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: 15KH456 # Created Sat Feb 22 02:10:31 2025 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 55.94d # First observation: 2015/05/17 # Last observation: 2015/07/12 Preliminary a, adot, b, bdot, g, gdot: -0.000003 0.038676 -0.000009 0.000957 0.029790 0.000000 # Chi-squared of fit: 3.60 DOF: 20 RMS: 0.09 # Min/Max residuals: -0.18 0.14 # Exact a, adot, b, bdot, g, gdot: 1.860025E-05 3.371833E-02 4.247217E-08 -4.611261E-04 2.903568E-02 2.159819E-03 # Covariance matrix: 3.9616E-13 3.3004E-11 -3.4569E-14 8.7813E-12 8.4314E-12 8.3508E-11 3.3004E-11 4.1953E-08 -6.6470E-11 1.1800E-08 6.9268E-09 -8.4389E-07 -3.4569E-14 -6.6470E-11 3.4891E-13 -2.0542E-11 -1.0547E-11 1.4632E-09 8.7813E-12 1.1800E-08 -2.0542E-11 3.3506E-09 1.9285E-09 -2.4350E-07 8.4314E-12 6.9268E-09 -1.0547E-11 1.9285E-09 1.2017E-09 -1.2281E-07 8.3508E-11 -8.4389E-07 1.4632E-09 -2.4350E-07 -1.2281E-07 2.1786E-05 # lat0 lon0 xBary yBary zBary JD0 15.589015 -139.981952 -0.280346 0.260711 -0.934107 2457159.913348 # Heliocentric elements and errors Epoch: 2457150.5000 = 2015/05/08 Mean Anomaly: 14.24615 +/- 23.706 Argument of Peri: 70.25405 +/- 39.708 Long of Asc Node: 127.02650 +/- 0.217 Inclination: 15.19186 +/- 0.004 Eccentricity: 0.22788725 +/- 0.0543 Semi-Major Axis: 45.14005859 +/- 0.7808 Time of Perihelion: 2452766.8435 +/- 7293.7 Perihelion: 34.85321456 +/- 2.5226 Aphelion: 55.42690261 +/- 2.6304 Period (y) 303.2853 +/- 7.87 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -25.97097531 +/- 0.0303 Ecliptic Y -22.17022096 +/- 0.0255 Ecliptic Z 9.25539847 +/- 0.0111 Ecliptic XDOT 0.00188243 +/- 0.0003 Ecliptic YDOT -0.00257469 +/- 0.0003 Ecliptic ZDOT 0.00001292 +/- 0.0001 # Distances at JD0 (AU) Heliocenter to KBO 35.37898609 +/- 0.0275 Geocenter to KBO 34.44038062 +/- 0.0411 # Hcoef: 8.46
The following table shows the complete astrometric record for 15KH456. 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 (15KH456) followed by the observatory code and reference code for the source of the astrometry.
2015 05 17.41257 14 49 52.01 +00 00 38.5 24.4g 15KH456 T09 C~8eSQ 2015 05 17.47785 14 49 51.67 +00 00 39.7 24.8g 15KH456 T09 C~8eSQ 2015 05 17.48424 14 49 51.63 +00 00 39.7 24.9g 15KH456 T09 C~8eSQ 2015 05 17.49483 14 49 51.59 +00 00 40.0 25.0g 15KH456 T09 C~8eSQ 2015 05 26.36079 14 49 06.77 +00 02 47.0 24.0y 15KH456 T09 C~8eSQ 2015 05 26.45673 14 49 06.27 +00 02 48.0 23.8y 15KH456 T09 C~8eSQ 2015 05 26.46835 14 49 06.23 +00 02 48.3 23.8y 15KH456 T09 C~8eSQ 2015 07 12.26574 14 46 26.74 -00 00 12.5 23.8z 15KH456 T09 C~8eSQ 2015 07 12.30211 14 46 26.70 -00 00 13.1 23.6z 15KH456 T09 C~8eSQ 2015 07 12.31845 14 46 26.67 -00 00 13.5 23.2z 15KH456 T09 C~8eSQ 2015 07 12.34000 14 46 26.64 -00 00 13.8 23.3z 15KH456 T09 C~8eSQ 2015 07 12.35079 14 46 26.63 -00 00 14.0 23.5z 15KH456 T09 C~8eSQ 2015 07 12.35348 14 46 26.63 -00 00 14.0 23.7z 15KH456 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 -0.05 0.00 -0.06 2 0.0002 -5.22 -0.01 -0.41 0.05 3 0.0002 -5.79 -0.07 -0.59 -0.09 4 0.0002 -6.46 0.12 -0.49 0.10 5 0.0245 -685.49 0.10 -84.33 0.05 6 0.0248 -692.94 -0.15 -85.66 -0.15 7 0.0248 -693.60 0.05 -85.56 0.09 8 0.1529 -2917.38 -0.18 -986.63 -0.15 9 0.1530 -2917.77 0.02 -987.39 0.01 10 0.1531 -2918.08 -0.02 -987.90 -0.09 11 0.1531 -2918.41 -0.01 -988.33 0.03 12 0.1532 -2918.50 0.08 -988.56 0.07 13 0.1532 -2918.50 0.12 -988.56 0.14
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.
15KH456 quality flag:1 Type: SCATEXTD CENTAURR SCATNEAR axisobj 44.609 60.387 43.527 ecceobj 0.218 0.545 0.182 incobj 15.195 15.199 15.199 qmin 34.304 27.144 34.900 qmax 56.067 101.286 52.870 amean 44.949 62.239 43.789 amin 44.536 60.387 43.211 amax 45.428 64.471 44.284 emean 0.215 0.556 0.163 emin 0.197 0.544 0.132 emax 0.235 0.571 0.199 imean 14.099 13.590 14.370 imin 13.228 13.438 13.156 imax 15.147 13.742 15.664 excite_mean 0.325 0.604 0.297 fracstop 1.000 0.005 1.000 cjmean 2.985 2.809 2.993 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 179.2 31.4 177.7 kozaiamp 180.0 1.1 179.9