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: 15FU403 # Created Wed Dec 25 02:10:14 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 16 observations of 16 # Arc: 6.00y # First observation: 2015/03/17 # Last observation: 2021/03/18 # Chi-squared of fit: 86.45 DOF: 26 RMS: 0.41 # Min/Max residuals: -1.01 0.92 # Exact a, adot, b, bdot, g, gdot: 6.304472E-06 1.230036E-02 -3.418959E-06 -4.132573E-03 1.734072E-02 4.587915E-03 # Covariance matrix: 4.5645E-13 -7.8091E-14 6.3117E-15 9.8631E-16 2.0356E-13 -5.1807E-14 -7.8091E-14 2.8299E-13 4.8918E-14 -9.9484E-14 2.3849E-13 3.9841E-12 6.3117E-15 4.8918E-14 3.5899E-13 -8.4084E-14 6.1560E-14 7.4788E-13 9.8631E-16 -9.9484E-14 -8.4084E-14 5.5926E-14 -9.7312E-14 -1.5029E-12 2.0356E-13 2.3849E-13 6.1560E-14 -9.7312E-14 6.4869E-13 3.8723E-12 -5.1807E-14 3.9841E-12 7.4788E-13 -1.5029E-12 3.8723E-12 6.0171E-11 # lat0 lon0 xBary yBary zBary JD0 15.007910 -162.476706 0.357395 0.239717 -0.893663 2457099.027758 # Heliocentric elements and errors Epoch: 2457098.5000 = 2015/03/17 Mean Anomaly: 81.46200 +/- 0.087 Argument of Peri: 20.98692 +/- 0.044 Long of Asc Node: 54.70797 +/- 0.001 Inclination: 23.39817 +/- 0.000 Eccentricity: 0.33528162 +/- 0.0004 Semi-Major Axis: 55.23530221 +/- 0.0180 Time of Perihelion: 2423169.1069 +/- 40.0 Perihelion: 36.71592084 +/- 0.0263 Aphelion: 73.75468358 +/- 0.0336 Period (y) 410.5190 +/- 0.20 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -54.10887699 +/- 0.0025 Ecliptic Y -16.70882000 +/- 0.0008 Ecliptic Z 14.93302968 +/- 0.0007 Ecliptic XDOT -0.00024700 +/- 0.0000 Ecliptic YDOT -0.00211923 +/- 0.0000 Ecliptic ZDOT -0.00044255 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 58.56554097 +/- 0.0023 Geocenter to KBO 57.66753679 +/- 0.0027 # Hcoef: 7.40
The following table shows the complete astrometric record for 15FU403. 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 (15FU403) followed by the observatory code and reference code for the source of the astrometry.
2015 03 17.52698 13 27 30.391 +07 00 06.65 25.0r 15FU403 568 C~2Zrj 2015 03 17.58309 13 27 30.211 +07 00 08.11 15FU403 568 C~2Zrj 2015 03 17.64176 13 27 30.024 +07 00 09.29 15FU403 568 C~2Zrj 2015 04 18.19873 13 25 44.620 +07 10 37.28 25.2r 15FU403 304 C~2Zrj 2015 04 19.17644 13 25 41.275 +07 10 52.85 15FU403 304 C~2Zrj 2015 06 21.30254 13 23 00.313 +07 13 37.96 15FU403 568 C~2Zrj 2016 03 08.34046 13 30 09.612 +06 27 42.23 15FU403 304 C~2Zrj 2016 03 09.33341 13 30 06.944 +06 28 04.37 15FU403 304 C~2Zrj 2020 03 24.415230 13 38 09.958 +04 39 01.78 24.8G 15FU403 568 C~5Jxe 2020 03 24.590542 13 38 09.406 +04 39 05.33 25.1G 15FU403 568 C~5Jxe 2020 06 11.17599 13 34 17.046 +04 52 29.95 15FU403 G37 C~5Jxe 2020 06 11.22905 13 34 16.956 +04 52 29.71 24.9r 15FU403 G37 C~5Jxe 2021 03 09.26413 13 41 01.860 +04 05 33.66 25.2G 15FU403 304 C~5Jxe 2021 03 09.36414 13 41 01.597 +04 05 35.94 24.8G 15FU403 304 C~5Jxe 2021 03 17.25427 13 40 40.199 +04 08 23.78 25.0r 15FU403 304 C~5Jxe 2021 03 18.30986 13 40 37.160 +04 08 46.29 25.2r 15FU403 304 C~5Jxe
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 0.92 0.00 -0.45
2 0.0002 0.00 0.82 0.00 -0.26
3 0.0003 0.00 0.72 0.00 -0.41
4 0.0867 0.00 -0.68 0.00 0.20
5 0.0894 0.00 -0.35 0.00 0.39
6 0.2622 0.00 -0.22 0.00 0.34
7 0.9769 0.00 -1.01 0.00 0.41
8 0.9796 0.00 -0.58 0.00 -0.07
9 5.0209 0.00 -0.08 0.00 0.03
10 5.0214 0.00 -0.05 0.00 -0.09
11 5.2365 0.00 0.25 0.00 -0.16
12 5.2367 0.00 0.34 0.00 -0.15
13 5.9787 0.00 -0.04 0.00 0.03
14 5.9790 0.00 -0.07 0.00 0.18
15 6.0006 0.00 0.01 0.00 -0.05
16 6.0035 0.00 -0.01 0.00 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.
15FU403 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 54.707 54.707 54.707 ecceobj 0.338 0.338 0.338 incobj 23.461 23.461 23.461 qmin 35.130 35.116 35.134 qmax 75.969 75.775 75.949 amean 55.005 55.005 55.007 amin 54.420 54.422 54.389 amax 55.802 55.791 55.791 emean 0.340 0.340 0.340 emin 0.320 0.319 0.320 emax 0.361 0.360 0.361 imean 22.241 22.242 22.241 imin 21.354 21.352 21.354 imax 23.050 23.051 23.050 excite_mean 0.509 0.509 0.509 fracstop 1.000 1.000 1.000 cjmean 2.900 2.900 2.900 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 170.5 170.3 170.3 kozaiamp 180.0 180.0 180.0