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: 525257 # Created Fri Nov 22 02:07:24 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 26 observations of 26 # Arc: 14.82y # First observation: 2003/11/20 # Last observation: 2018/09/14 # Chi-squared of fit: 116.10 DOF: 46 RMS: 0.37 # Min/Max residuals: -1.23 0.68 # Exact a, adot, b, bdot, g, gdot: 1.520240E-05 2.402829E-02 1.557950E-06 3.092041E-03 2.430721E-02 1.710330E-03 # Covariance matrix: 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 0.0000E+00 # lat0 lon0 xBary yBary zBary JD0 -0.776398 16.792706 -0.638129 -0.010168 -0.753391 2452963.622323 # Heliocentric elements and errors Epoch: 2452964.5000 = 2003/11/21 Mean Anomaly: 51.50488 +/- 0.000 Argument of Peri: 292.87062 +/- 0.000 Long of Asc Node: 23.54756 +/- 0.000 Inclination: 7.40500 +/- 0.000 Eccentricity: 0.10025941 +/- 0.0000 Semi-Major Axis: 44.36543426 +/- 0.0000 Time of Perihelion: 2437522.2194 +/- 0.0 Perihelion: 39.91738212 +/- 0.0000 Aphelion: 48.81348639 +/- 0.0000 Period (y) 295.5121 +/- 0.00 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 39.91561387 +/- 0.0000 Ecliptic Y 12.71697826 +/- 0.0000 Ecliptic Z -0.55738244 +/- 0.0000 Ecliptic XDOT -0.00059749 +/- 0.0000 Ecliptic YDOT 0.00264188 +/- 0.0000 Ecliptic ZDOT 0.00034579 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 41.89610859 +/- 0.0000 Geocenter to KBO 41.14004844 +/- 0.0000 # Hcoef: 6.85
The following table shows the complete astrometric record for 525257. 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 (525257) followed by the observatory code and reference code for the source of the astrometry.
2003 11 20.12158 01 03 06.09 +05 52 55.0 22.6R 525257 695 Ct0489 2003 11 20.20624 01 03 05.80 +05 52 53.3 525257 695 Ct0489 2004 11 09.15974 01 08 33.19 +06 37 33.1 23.0R 525257 695 Cm0643 2004 11 09.16493 01 08 33.08 +06 37 32.5 525257 695 Cm0643 2004 11 10.25308 01 08 28.89 +06 37 09.1 525257 695 Cm0643 2004 11 18.27020 01 07 59.52 +06 34 28.7 22.9R 525257 568 Cm0643 2004 11 18.32784 01 07 59.31 +06 34 27.6 525257 568 Cm0643 2005 09 26.260876 01 16 39.34 +07 36 49.3 22.5V 525257 645 C~2JxB 2005 09 26.261706 01 16 39.34 +07 36 49.4 23.0V 525257 645 C~2JxB 2005 09 26.264193 01 16 39.34 +07 36 49.4 23.4V 525257 645 C~2JxB 2006 10 19.25970 01 19 46.76 +08 07 46.1 22.4R 525257 695 Ct0489 2006 10 19.36290 01 19 46.27 +08 07 43.4 525257 695 Ct0489 2006 10 20.19075 01 19 42.49 +08 07 22.4 525257 695 Ct0489 2006 10 20.31914 01 19 41.90 +08 07 19.0 525257 695 Ct0489 2006 12 21.11539 01 16 17.81 +07 49 02.9 22.8R 525257 695 Ct5519 2006 12 21.24088 01 16 17.73 +07 49 02.5 525257 695 Ct5519 2008 07 30.31837 01 33 37.58 +09 49 34.6 23.9R 525257 250 S~06Al 2008 07 30.32462 01 33 37.58 +09 49 34.6 525257 250 S~06Al 2008 07 30.36629 01 33 37.56 +09 49 34.6 525257 250 S~06Al 2008 07 30.38435 01 33 37.56 +09 49 34.6 525257 250 S~06Al 2008 10 28.360552 01 28 44.03 +09 23 54.7 22.8V 525257 645 C~2JxB 2008 10 28.361382 01 28 44.01 +09 23 54.8 22.6V 525257 645 C~2JxB 2008 10 28.363869 01 28 44.04 +09 23 54.7 23.2V 525257 645 C~2JxB 2018 09 13.337750 02 20 17.82 +15 51 14.1 22.9G 525257 705 C~2rXh 2018 09 14.342300 02 20 14.82 +15 51 02.9 23.2G 525257 705 C~2rXh 2018 09 14.416400 02 20 14.57 +15 51 01.8 23.4G 525257 705 C~2rXh
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 0.12
2 0.0002 0.00 -0.03 0.00 -0.09
3 0.9720 0.00 0.11 0.00 0.65
4 0.9721 0.00 -1.23 0.00 0.16
5 0.9750 0.00 -0.28 0.00 0.17
6 0.9970 0.00 0.04 0.00 0.21
7 0.9971 0.00 -0.06 0.00 0.18
8 1.8512 0.00 0.33 0.00 -0.09
9 1.8512 0.00 0.39 0.00 0.03
10 1.8512 0.00 0.55 0.00 0.09
11 2.9135 0.00 -0.25 0.00 0.09
12 2.9137 0.00 -0.37 0.00 0.04
13 2.9160 0.00 -0.28 0.00 0.19
14 2.9164 0.00 -0.16 0.00 0.06
15 3.0855 0.00 -0.59 0.00 0.36
16 3.0859 0.00 0.56 0.00 0.58
17 4.6932 0.00 0.07 0.00 -0.64
18 4.6932 0.00 0.10 0.00 -0.64
19 4.6933 0.00 0.02 0.00 -0.64
20 4.6934 0.00 0.12 0.00 -0.63
21 4.9397 0.00 0.31 0.00 -0.38
22 4.9397 0.00 0.06 0.00 -0.26
23 4.9397 0.00 0.68 0.00 -0.30
24 14.8151 0.00 -0.11 0.00 0.29
25 14.8179 0.00 0.03 0.00 0.39
26 14.8181 0.00 -0.27 0.00 0.13
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.
525257 quality flag:3 Type: 9:5EEEE 9:5EEEE 9:5EEEE axisobj 44.868 44.868 44.868 ecceobj 0.107 0.107 0.107 incobj 7.370 7.370 7.370 qmin 39.218 39.214 39.224 qmax 50.231 50.222 50.245 amean 44.555 44.555 44.555 amin 44.168 44.171 44.165 amax 44.969 44.972 44.968 emean 0.105 0.105 0.105 emin 0.093 0.093 0.093 emax 0.117 0.117 0.117 imean 6.864 6.865 6.864 imin 6.184 6.185 6.182 imax 7.490 7.488 7.494 excite_mean 0.159 0.159 0.159 fracstop 1.000 1.000 1.000 cjmean 3.077 3.077 3.077 libcent 0 182.4 181.8 181.8 libamp 0 145.2 145.0 146.1 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 185.5 185.6 185.6 kozaiamp 180.0 180.0 180.0