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: 15KR175 # Created Fri Nov 22 02:10:24 2024 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 2.00y # First observation: 2014/05/30 # Last observation: 2016/05/30 Preliminary a, adot, b, bdot, g, gdot: 0.000013 0.018780 0.000002 0.004665 0.021558 0.000000 # Chi-squared of fit: 15.02 DOF: 52 RMS: 0.13 # Min/Max residuals: -0.31 0.39 # Exact a, adot, b, bdot, g, gdot: 1.310468E-05 1.883040E-02 3.193995E-06 4.686272E-03 2.185200E-02 -1.678229E-03 # Covariance matrix: 2.0119E-13 -2.5264E-13 5.3221E-15 -2.3907E-14 -4.7914E-14 -3.0220E-12 -2.5264E-13 6.2663E-13 -2.0725E-14 9.5006E-14 2.2650E-13 1.1894E-11 5.3221E-15 -2.0725E-14 1.6734E-13 -1.2617E-13 -1.2674E-14 -5.2334E-13 -2.3907E-14 9.5006E-14 -1.2617E-13 1.4937E-13 7.1544E-14 2.5162E-12 -4.7914E-14 2.2650E-13 -1.2674E-14 7.1544E-14 4.1915E-13 8.1635E-12 -3.0220E-12 1.1894E-11 -5.2334E-13 2.5162E-12 8.1635E-12 3.0811E-10 # lat0 lon0 xBary yBary zBary JD0 7.324550 -124.447260 -0.233528 0.125954 -0.979489 2456807.910378 # Heliocentric elements and errors Epoch: 2456800.5000 = 2014/05/23 Mean Anomaly: 236.80277 +/- 0.338 Argument of Peri: 159.76666 +/- 0.325 Long of Asc Node: 209.10698 +/- 0.002 Inclination: 15.62536 +/- 0.001 Eccentricity: 0.10055422 +/- 0.0006 Semi-Major Axis: 44.03276676 +/- 0.0078 Time of Perihelion: 2493323.0267 +/- 99.6 Perihelion: 39.60508647 +/- 0.0286 Aphelion: 48.46044706 +/- 0.0290 Period (y) 292.1946 +/- 0.08 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -26.04151063 +/- 0.0008 Ecliptic Y -38.37487104 +/- 0.0011 Ecliptic Z 5.83443603 +/- 0.0002 Ecliptic XDOT 0.00210062 +/- 0.0000 Ecliptic YDOT -0.00110445 +/- 0.0000 Ecliptic ZDOT 0.00055567 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 46.74218274 +/- 0.0010 Geocenter to KBO 45.76239811 +/- 0.0014 # Hcoef: 8.07
The following table shows the complete astrometric record for 15KR175. 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 (15KR175) followed by the observatory code and reference code for the source of the astrometry.
2014 05 30.40960 15 39 59.204 -12 01 38.69 24.6r 15KR175 568 C~2nvi 2014 05 31.47886 15 39 54.646 -12 01 22.57 23.7r 15KR175 568 C~2nvi 2014 06 01.33608 15 39 51.050 -12 01 09.95 25.0r 15KR175 568 C~2nvi 2014 06 01.37892 15 39 50.897 -12 01 09.11 25.3r 15KR175 568 C~2nvi 2014 06 01.42181 15 39 50.707 -12 01 08.51 24.1r 15KR175 568 C~2nvi 2014 06 22.33318 15 38 29.614 -11 56 56.51 24.7r 15KR175 568 C~2nvi 2014 07 19.34974 15 37 17.491 -11 54 48.15 24.3r 15KR175 568 C~2nvi 2015 03 19.64496 15 48 49.045 -12 22 53.35 15KR175 568 C~2nvi 2015 03 22.56564 15 48 43.799 -12 22 02.96 25.1r 15KR175 568 C~2nvi 2015 04 13.57652 15 47 44.860 -12 15 08.45 24.8r 15KR175 568 C~2nvi 2015 04 13.61766 15 47 44.740 -12 15 07.24 25.2r 15KR175 568 C~2nvi 2015 04 18.58658 15 47 27.395 -12 13 29.67 24.8r 15KR175 568 C~2nvi 2015 05 21.34720 15 45 12.627 -12 03 12.54 25.0r 15KR175 568 C~2nvi 2015 05 21.38827 15 45 12.435 -12 03 11.88 24.8r 15KR175 568 C~2nvi 2015 05 21.42959 15 45 12.264 -12 03 11.20 24.7r 15KR175 568 C~2nvi 2015 05 22.50587 15 45 07.557 -12 02 53.02 25.0r 15KR175 568 C~2nvi 2015 05 25.49667 15 44 54.582 -12 02 04.32 25.3r 15KR175 568 C~2nvi 2015 06 20.38581 15 43 09.535 -11 56 27.12 25.2r 15KR175 568 C~2nvi 2015 06 20.42660 15 43 09.390 -11 56 26.84 24.7r 15KR175 568 C~2nvi 2015 06 23.44700 15 42 58.642 -11 55 59.41 24.4r 15KR175 568 C~2nvi 2015 07 12.30961 15 42 02.884 -11 54 13.00 24.9r 15KR175 568 C~2nvi 2015 07 18.39769 15 41 49.743 -11 54 03.37 24.8r 15KR175 568 C~2nvi 2016 02 06.64530 15 53 14.309 -12 29 54.42 24.4w 15KR175 568 C~2nvi 2016 02 12.63085 15 53 24.568 -12 29 10.16 25.2w 15KR175 568 C~2nvi 2016 03 15.64428 15 53 25.908 -12 22 23.87 24.4w 15KR175 568 C~2nvi 2016 04 03.55878 15 52 46.801 -12 16 46.40 24.4w 15KR175 568 C~2nvi 2016 04 08.60833 15 52 32.096 -12 15 09.67 24.6w 15KR175 568 C~2nvi 2016 04 09.55226 15 52 29.186 -12 14 51.52 25.3w 15KR175 568 C~2nvi 2016 05 30.45392 15 49 04.440 -11 59 25.62 24.8w 15KR175 568 C~2nvi
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 0.11 0.00 0.04 2 0.0029 -68.78 -0.31 0.30 -0.10 3 0.0053 -123.03 -0.24 0.44 -0.22 4 0.0054 -125.41 0.15 0.74 0.09 5 0.0055 -128.26 0.06 0.68 0.03 6 0.0628 -1344.20 0.09 -28.71 -0.03 7 0.1367 -2403.67 0.13 -149.31 -0.06 8 0.8028 7858.81 -0.06 514.98 0.08 9 0.8108 7772.56 0.06 547.06 0.00 10 0.8711 6837.02 -0.12 758.92 -0.06 11 0.8712 6835.03 0.10 759.71 0.39 12 0.8848 6565.12 -0.07 798.06 -0.25 13 0.9745 4499.21 0.14 955.90 0.10 14 0.9746 4496.32 -0.00 955.90 0.04 15 0.9747 4493.72 0.17 956.00 0.07 16 0.9777 4422.31 -0.09 958.14 0.16 17 0.9859 4225.80 0.15 962.64 -0.03 18 1.0567 2647.68 0.00 941.94 0.08 19 1.0569 2645.54 0.11 941.73 -0.01 20 1.0651 2485.68 -0.07 932.57 -0.06 21 1.1168 1664.52 -0.17 849.72 -0.09 22 1.1334 1474.53 -0.11 815.05 0.05 23 1.6899 11750.70 -0.15 960.30 0.01 24 1.7063 11888.14 -0.12 1036.40 -0.07 25 1.7939 11818.58 0.19 1437.86 0.15 26 1.8457 11183.72 0.12 1642.30 0.03 27 1.8595 10951.57 -0.08 1689.57 -0.12 28 1.8621 10905.85 0.03 1697.94 -0.23 29 2.0015 7766.32 -0.03 1938.75 -0.00
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.
15KR175 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.841 43.863 43.821 ecceobj 0.107 0.108 0.105 incobj 15.685 15.685 15.686 qmin 38.759 38.737 38.796 qmax 49.745 49.879 49.674 amean 44.138 44.160 44.118 amin 43.787 43.802 43.767 amax 44.509 44.547 44.502 emean 0.105 0.107 0.104 emin 0.093 0.094 0.092 emax 0.118 0.120 0.117 imean 16.355 16.355 16.356 imin 15.900 15.899 15.903 imax 16.756 16.763 16.759 excite_mean 0.301 0.301 0.300 fracstop 1.000 1.000 1.000 cjmean 2.992 2.992 2.992 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 181.0 181.0 181.1 kozaiamp 179.9 179.9 180.0