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: 13UJ15 # Created Thu Apr 25 01:15:20 2024 # Orbit generated from Bernstein formalism # Fitting 15 observations of 15 # Arc: 0.99y # First observation: 2013/10/28 # Last observation: 2014/10/25 Preliminary a, adot, b, bdot, g, gdot: 0.000005 0.009084 -0.000000 -0.005501 0.015630 0.000000 # Chi-squared of fit: 45.44 DOF: 24 RMS: 0.31 # Min/Max residuals: -0.52 0.96 # Exact a, adot, b, bdot, g, gdot: 7.826499E-06 9.075677E-03 -4.444873E-06 -5.511536E-03 1.571753E-02 2.357700E-03 # Covariance matrix: 1.8292E-13 3.9271E-13 -6.5562E-15 -3.0907E-13 6.6991E-13 6.1303E-11 3.9271E-13 1.2899E-11 -6.5851E-14 -6.0835E-12 1.0877E-11 1.1981E-09 -6.5562E-15 -6.5851E-14 1.4450E-13 -1.2793E-13 -1.0202E-13 -8.0774E-12 -3.0907E-13 -6.0835E-12 -1.2793E-13 3.7170E-12 -5.7733E-12 -6.0845E-10 6.6991E-13 1.0877E-11 -1.0202E-13 -5.7733E-12 1.1766E-11 1.1423E-09 6.1303E-11 1.1981E-09 -8.0774E-12 -6.0845E-10 1.1423E-09 1.2003E-07 # lat0 lon0 xBary yBary zBary JD0 -11.456121 7.215734 -0.454171 -0.175224 -0.865212 2456593.538948 # Heliocentric elements and errors Epoch: 2456590.5000 = 2013/10/25 Mean Anomaly: 123.59035 +/- 4.430 Argument of Peri: 54.03918 +/- 3.793 Long of Asc Node: 169.77087 +/- 0.007 Inclination: 33.08780 +/- 0.010 Eccentricity: 0.30533422 +/- 0.0133 Semi-Major Axis: 52.90921040 +/- 0.4534 Time of Perihelion: 2408331.6029 +/- 1614.7 Perihelion: 36.75421792 +/- 0.7722 Aphelion: 69.06420288 +/- 0.9205 Period (y) 384.8621 +/- 4.95 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 62.67987745 +/- 0.0135 Ecliptic Y 8.39657587 +/- 0.0017 Ecliptic Z -12.63699035 +/- 0.0028 Ecliptic XDOT 0.00000541 +/- 0.0001 Ecliptic YDOT 0.00159340 +/- 0.0000 Ecliptic ZDOT -0.00102236 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 64.49002286 +/- 0.0131 Geocenter to KBO 63.62324550 +/- 0.0139 # Hcoef: 6.97
The following table shows the complete astrometric record for 13UJ15. 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 (13UJ15) followed by the observatory code and reference code for the source of the astrometry.
2013 10 28.03817 00 44 40.200 -07 39 28.91 25.0r 13UJ15 304 C~1x8X 2013 10 28.10613 00 44 40.007 -07 39 30.20 13UJ15 304 C~1x8X 2013 10 28.18093 00 44 39.784 -07 39 31.21 13UJ15 304 C~1x8X 2013 10 30.04327 00 44 34.624 -07 39 59.15 13UJ15 304 C~1x8X 2013 10 30.05093 00 44 34.578 -07 39 59.26 13UJ15 304 C~1x8X 2013 10 30.09075 00 44 34.488 -07 40 00.25 13UJ15 304 C~1x8X 2013 10 30.09901 00 44 34.465 -07 40 00.28 13UJ15 304 C~1x8X 2013 10 30.14033 00 44 34.349 -07 40 01.21 13UJ15 304 C~1x8X 2013 10 30.14828 00 44 34.324 -07 40 01.05 13UJ15 304 C~1x8X 2013 12 24.09154 00 43 05.722 -07 43 36.54 13UJ15 I11 C~1x8X 2013 12 31.06543 00 43 06.020 -07 42 34.48 13UJ15 I11 C~1x8X 2014 08 29.57884 00 49 57.025 -07 22 16.79 13UJ15 568 C~1x8X 2014 08 29.61572 00 49 56.914 -07 22 18.55 25.0r 13UJ15 568 C~1x8Y 2014 10 22.21348 00 47 23.106 -07 42 45.70 13UJ15 304 C~1x8Y 2014 10 25.06054 00 47 14.857 -07 43 34.61 13UJ15 304 C~1x8Y
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 -0.23
2 0.0002 -3.15 0.18 -0.04 -0.43
3 0.0004 -6.59 0.10 0.35 -0.22
4 0.0055 -88.08 0.16 5.26 0.36
5 0.0055 -88.75 -0.18 5.44 0.51
6 0.0056 -90.37 -0.04 5.06 0.03
7 0.0056 -90.70 -0.01 5.17 0.11
8 0.0058 -92.65 -0.14 5.00 -0.17
9 0.0058 -92.93 -0.06 5.30 0.10
10 0.1562 -1387.06 -0.15 331.42 -0.10
11 0.1753 -1358.33 -0.17 386.62 -0.23
12 0.8365 4732.36 0.25 -936.61 0.96
13 0.8366 4730.14 -0.40 -937.56 0.32
14 0.9834 2142.23 0.04 -1146.51 -0.51
15 0.9912 2010.27 0.13 -1142.35 -0.52
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.
13UJ15 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 53.164 54.843 52.138 ecceobj 0.302 0.346 0.269 incobj 32.947 32.976 32.919 qmin 36.298 34.640 36.495 qmax 70.258 75.536 68.030 amean 52.968 54.638 51.946 amin 52.479 54.076 51.444 amax 53.572 55.348 52.551 emean 0.138 0.341 0.279 emin 0.045 0.322 0.260 emax 0.313 0.365 0.296 imean 35.554 32.741 32.265 imin 32.234 32.080 31.899 imax 36.593 33.331 32.705 excite_mean 0.602 0.639 0.602 fracstop 1.000 1.000 1.000 cjmean 2.700 2.682 2.714 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 66.4 168.6 159.5 kozaiamp 39.2 179.9 180.0