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: 16RU81 # Created Tue Apr 1 01:10:51 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 8 observations of 8 # Arc: 5.01y # First observation: 2013/09/11 # Last observation: 2018/09/14 # Chi-squared of fit: 1.82 DOF: 10 RMS: 0.08 # Min/Max residuals: -0.14 0.16 # Exact a, adot, b, bdot, g, gdot: 1.546434E-05 2.388351E-02 -6.463141E-08 2.865368E-05 2.433978E-02 -1.158122E-03 # Covariance matrix: 1.4515E-12 -7.8400E-13 9.8553E-16 -5.8301E-16 -3.9049E-13 -4.1980E-12 -7.8400E-13 1.4543E-12 -1.0837E-14 8.1502E-16 1.9809E-12 1.1377E-11 9.8553E-16 -1.0837E-14 1.1803E-12 -3.0930E-13 -2.3814E-14 -8.4858E-14 -5.8301E-16 8.1502E-16 -3.0930E-13 9.5912E-14 3.3589E-16 7.4542E-15 -3.9049E-13 1.9809E-12 -2.3814E-14 3.3589E-16 3.7517E-12 1.5955E-11 -4.1980E-12 1.1377E-11 -8.4858E-14 7.4542E-15 1.5955E-11 9.5749E-11 # lat0 lon0 xBary yBary zBary JD0 -3.638128 -2.538847 0.158972 -0.063032 -0.992879 2456546.783108 # Heliocentric elements and errors Epoch: 2456546.5000 = 2013/09/11 Mean Anomaly: 300.21640 +/- 0.105 Argument of Peri: 336.94334 +/- 0.131 Long of Asc Node: 86.36671 +/- 0.012 Inclination: 3.55263 +/- 0.000 Eccentricity: 0.06111555 +/- 0.0004 Semi-Major Axis: 43.28284253 +/- 0.0120 Time of Perihelion: 2473818.8576 +/- 47.2 Perihelion: 40.63758765 +/- 0.0220 Aphelion: 45.92809741 +/- 0.0228 Period (y) 284.7619 +/- 0.12 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 41.94854411 +/- 0.0033 Ecliptic Y -2.01604525 +/- 0.0001 Ecliptic Z -2.60705774 +/- 0.0002 Ecliptic XDOT -0.00001685 +/- 0.0000 Ecliptic YDOT 0.00268847 +/- 0.0000 Ecliptic ZDOT 0.00001162 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.07783804 +/- 0.0033 Geocenter to KBO 41.08506667 +/- 0.0033 # Hcoef: 7.49
The following table shows the complete astrometric record for 16RU81. 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 (16RU81) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.28233 23 56 28.736 -04 20 50.55 24.1g 16RU81 W84 C~52Zi 2016 09 10.33646 00 11 37.403 -02 41 25.28 23.5i 16RU81 W84 C~52Zi 2016 11 05.06437 00 07 47.213 -03 04 54.98 23.8i 16RU81 W84 C~52Zi 2016 11 05.06575 00 07 47.214 -03 04 54.70 23.6r 16RU81 W84 C~52Zi 2016 11 26.12241 00 06 56.134 -03 08 45.63 23.7r 16RU81 W84 C~52Zi 2017 10 17.22970 00 13 59.390 -02 25 08.09 23.7i 16RU81 W84 C~52Zi 2017 10 27.16027 00 13 20.077 -02 28 55.53 22.9z 16RU81 W84 C~52Zi 2018 09 14.30686 00 21 28.211 -01 36 15.05 23.7r 16RU81 W84 C~52Zi
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 0.00 0.00 0.02
2 2.9981 0.00 0.05 0.00 -0.08
3 3.1507 0.00 -0.09 0.00 -0.14
4 3.1507 0.00 -0.01 0.00 0.16
5 3.2083 0.00 0.01 0.00 0.07
6 4.0984 0.00 0.03 0.00 0.06
7 4.1256 0.00 0.11 0.00 -0.12
8 5.0076 0.00 -0.06 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.
16RU81 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.520 43.519 43.520 ecceobj 0.063 0.063 0.063 incobj 3.554 3.554 3.554 qmin 39.144 39.165 39.144 qmax 47.770 47.815 47.767 amean 43.325 43.325 43.325 amin 42.980 42.980 42.984 amax 43.696 43.693 43.693 emean 0.074 0.074 0.074 emin 0.052 0.052 0.052 emax 0.094 0.094 0.094 imean 1.929 1.929 1.929 imin 0.812 0.812 0.812 imax 3.064 3.064 3.065 excite_mean 0.082 0.082 0.082 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 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 161.7 161.7 161.7 kozaiamp 179.9 180.0 180.0