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: 16FU58 # Created Wed Mar 26 01:10:48 2025 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 22 observations of 22 # Arc: 11.94y # First observation: 2013/03/16 # Last observation: 2025/02/23 # Chi-squared of fit: 38.75 DOF: 38 RMS: 0.23 # Min/Max residuals: -0.64 0.52 # Exact a, adot, b, bdot, g, gdot: 1.530911E-05 2.532073E-02 -6.478180E-06 -1.087961E-02 2.627674E-02 -2.952706E-03 # Covariance matrix: 4.7264E-13 -1.1278E-13 -4.0473E-14 2.4108E-14 6.1633E-13 -1.6340E-13 -1.1278E-13 6.0934E-14 2.6755E-14 -2.1115E-14 -7.3601E-14 1.4886E-13 -4.0473E-14 2.6755E-14 1.4867E-13 -2.8817E-14 -2.0280E-14 7.5286E-14 2.4108E-14 -2.1115E-14 -2.8817E-14 1.4845E-14 -5.9819E-15 -6.3567E-14 6.1633E-13 -7.3601E-14 -2.0280E-14 -5.9819E-15 1.4733E-12 6.0573E-14 -1.6340E-13 1.4886E-13 7.5286E-14 -6.3567E-14 6.0573E-14 4.5161E-13 # lat0 lon0 xBary yBary zBary JD0 -5.894923 168.936895 -0.115962 -0.101457 -0.983438 2456367.598908 # Heliocentric elements and errors Epoch: 2456368.5000 = 2013/03/17 Mean Anomaly: 320.22639 +/- 0.035 Argument of Peri: 246.15932 +/- 0.046 Long of Asc Node: 335.95267 +/- 0.000 Inclination: 23.85758 +/- 0.000 Eccentricity: 0.14299823 +/- 0.0001 Semi-Major Axis: 43.37716348 +/- 0.0095 Time of Perihelion: 2467897.2608 +/- 32.1 Perihelion: 37.17430569 +/- 0.0094 Aphelion: 49.58002127 +/- 0.0118 Period (y) 285.6932 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.14353705 +/- 0.0017 Ecliptic Y 7.34189663 +/- 0.0004 Ecliptic Z -3.90884253 +/- 0.0002 Ecliptic XDOT -0.00009792 +/- 0.0000 Ecliptic YDOT -0.00266968 +/- 0.0000 Ecliptic ZDOT -0.00109585 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.03994093 +/- 0.0017 Geocenter to KBO 38.05656860 +/- 0.0018 # Hcoef: 7.26
The following table shows the complete astrometric record for 16FU58. 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 (16FU58) followed by the observatory code and reference code for the source of the astrometry.
2013 03 16.09813 11 10 05.99 -01 02 55.6 23.0r 16FU58 W84 C~6hUh 2013 03 16.16725 11 10 05.64 -01 02 53.9 16FU58 W84 C~6hUh 2013 03 16.23751 11 10 05.28 -01 02 52.0 16FU58 W84 C~6hUh 2013 05 07.978391 11 06 44.61 -00 42 48.2 22.9r 16FU58 W84 C~6hUh 2013 05 07.999016 11 06 44.56 -00 42 47.8 23.0r 16FU58 W84 C~6hUh 2013 05 09.003079 11 06 42.60 -00 42 33.1 22.9r 16FU58 W84 C~6hUh 2013 05 09.007708 11 06 42.59 -00 42 33.0 16FU58 W84 C~6hUh 2016 03 28.03411 11 22 22.50 -04 24 24.0 23.7V 16FU58 W84 C~1qoJ 2016 03 28.04105 11 22 22.51 -04 24 24.2 16FU58 W84 C~1qoJ 2016 03 28.04799 11 22 22.51 -04 24 24.2 16FU58 W84 C~1qoJ 2016 03 29.03545 11 22 17.73 -04 23 56.4 16FU58 W84 C~1qoJ 2016 03 29.04239 11 22 17.72 -04 23 56.4 16FU58 W84 C~1qoJ 2016 03 29.04933 11 22 17.71 -04 23 56.5 16FU58 W84 C~1qoJ 2016 03 30.05844 11 22 12.85 -04 23 28.2 16FU58 W84 C~1qoJ 2016 03 30.06538 11 22 12.84 -04 23 28.2 16FU58 W84 C~1qoJ 2016 03 30.07232 11 22 12.84 -04 23 28.1 16FU58 W84 C~1qoJ 2016 04 01.06296 11 22 03.42 -04 22 32.7 16FU58 W84 C~1qoJ 2016 04 01.06990 11 22 03.42 -04 22 32.8 16FU58 W84 C~1qoJ 2016 04 01.07684 11 22 03.41 -04 22 32.8 16FU58 W84 C~1qoJ 2016 04 10.125956 11 21 22.92 -04 18 25.1 23.5g 16FU58 W84 C~5bmN 2025 02 23.406800 12 07 16.922 -15 06 59.58 23.2G 16FU58 G37 C~8ie2 2025 02 23.454440 12 07 16.706 -15 06 58.73 16FU58 G37 C~8ie2
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 -0.02 0.00 -0.01 2 0.0002 0.00 -0.02 0.00 -0.11 3 0.0004 0.00 -0.08 0.00 -0.04 4 0.1448 0.00 -0.06 0.00 -0.11 5 0.1448 0.00 -0.17 0.00 -0.02 6 0.1476 0.00 0.07 0.00 0.02 7 0.1476 0.00 0.06 0.00 0.05 8 3.0334 0.00 -0.64 0.00 0.25 9 3.0334 0.00 0.02 0.00 -0.14 10 3.0334 0.00 0.52 0.00 -0.33 11 3.0361 0.00 -0.25 0.00 0.24 12 3.0361 0.00 0.11 0.00 0.05 13 3.0361 0.00 0.46 0.00 -0.24 14 3.0389 0.00 -0.43 0.00 0.21 15 3.0389 0.00 -0.08 0.00 0.02 16 3.0389 0.00 0.42 0.00 -0.08 17 3.0444 0.00 -0.45 0.00 0.37 18 3.0444 0.00 0.05 0.00 0.08 19 3.0444 0.00 0.39 0.00 -0.11 20 3.0692 0.00 0.07 0.00 0.01 21 11.9434 0.00 -0.08 0.00 -0.22 22 11.9435 0.00 0.02 0.00 0.14
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.
16FU58 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 43.217 43.216 43.217 ecceobj 0.140 0.140 0.140 incobj 23.912 23.912 23.912 qmin 36.581 36.586 36.567 qmax 50.512 50.473 50.475 amean 43.380 43.380 43.380 amin 43.026 43.024 43.031 amax 43.789 43.763 43.772 emean 0.138 0.138 0.138 emin 0.123 0.123 0.123 emax 0.154 0.154 0.154 imean 24.917 24.917 24.917 imin 24.461 24.460 24.466 imax 25.255 25.251 25.260 excite_mean 0.443 0.443 0.443 fracstop 1.000 1.000 1.000 cjmean 2.850 2.850 2.850 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 187.0 187.0 187.1 kozaiamp 180.0 180.0 180.0