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 Fri Nov 22 02:10:38 2024 # Orbit generated from Bernstein formalism # Fitting 16 observations of 20 # Arc: 3.07y # First observation: 2013/03/16 # Last observation: 2016/04/10 Preliminary a, adot, b, bdot, g, gdot: 0.000018 0.025516 0.000015 -0.010990 0.026109 0.000000 # Chi-squared of fit: 13.17 DOF: 26 RMS: 0.16 # Min/Max residuals: -0.43 0.33 # Exact a, adot, b, bdot, g, gdot: 1.521791E-05 2.532699E-02 -6.475921E-06 -1.088260E-02 2.627825E-02 -2.860848E-03 # Covariance matrix: 4.9185E-13 7.8462E-13 1.0273E-14 -4.1476E-13 8.5398E-13 1.2304E-11 7.8462E-13 6.7793E-11 2.0480E-12 -3.1792E-11 1.8165E-11 9.3507E-10 1.0273E-14 2.0480E-12 2.8751E-13 -1.0356E-12 5.1084E-13 2.8239E-11 -4.1476E-13 -3.1792E-11 -1.0356E-12 1.4962E-11 -8.5511E-12 -4.3880E-10 8.5398E-13 1.8165E-11 5.1084E-13 -8.5511E-12 6.3865E-12 2.5176E-10 1.2304E-11 9.3507E-10 2.8239E-11 -4.3880E-10 2.5176E-10 1.2906E-08 # lat0 lon0 xBary yBary zBary JD0 -5.894923 168.936895 -0.115962 -0.101457 -0.983438 2456367.598908 # Heliocentric elements and errors Epoch: 2456360.5000 = 2013/03/09 Mean Anomaly: 320.83440 +/- 0.846 Argument of Peri: 245.13364 +/- 1.293 Long of Asc Node: 335.95346 +/- 0.001 Inclination: 23.85879 +/- 0.001 Eccentricity: 0.14039133 +/- 0.0032 Semi-Major Axis: 43.35594888 +/- 0.0279 Time of Perihelion: 2467704.6960 +/- 244.9 Perihelion: 37.26914969 +/- 0.1408 Aphelion: 49.44274806 +/- 0.1424 Period (y) 285.4837 +/- 0.28 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -38.14139892 +/- 0.0036 Ecliptic Y 7.34148214 +/- 0.0007 Ecliptic Z -3.90861756 +/- 0.0004 Ecliptic XDOT -0.00010735 +/- 0.0000 Ecliptic YDOT -0.00266834 +/- 0.0000 Ecliptic ZDOT -0.00109708 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 39.03768645 +/- 0.0035 Geocenter to KBO 38.05427918 +/- 0.0037 # Hcoef: 7.20
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
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 -0.01
2 0.0002 -5.50 0.04 -0.48 -0.11
3 0.0004 -11.21 -0.04 -0.84 -0.07
4 0.1448 -3252.29 0.00 -68.13 -0.05
5 0.1448 -3253.13 -0.13 -68.05 -0.01
6 0.1476 -3285.95 0.07 -66.00 0.12
7 0.1476 -3286.12 0.05 -65.97 0.15
8 3.0334 14902.03 -0.43 -6850.27 -0.06
9 3.0334 14902.25 0.33 -6850.40 -0.16
10 3.0334 14902.25 ( 0.87) -6850.40 ( -0.14)
11 3.0361 14825.14 -0.08 -6852.44 0.08
12 3.0361 14825.00 0.32 -6852.50 0.04
13 3.0361 14824.90 ( 0.77) -6852.65 ( -0.09)
14 3.0389 14746.49 -0.25 -6854.69 -0.02
15 3.0389 14746.35 0.15 -6854.75 -0.06
16 3.0389 14746.31 ( 0.64) -6854.66 ( 0.05)
17 3.0444 14594.12 -0.36 -6858.12 0.13
18 3.0444 14594.16 0.21 -6858.21 0.05
19 3.0444 14594.02 ( 0.60) -6858.27 ( 0.00)
20 3.0692 13936.27 0.12 -6864.40 -0.01
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 43.198 43.251 43.154 ecceobj 0.138 0.145 0.132 incobj 23.913 23.909 23.916 qmin 36.669 36.390 36.841 qmax 50.323 50.706 50.000 amean 43.351 43.416 43.313 amin 42.979 43.052 42.969 amax 43.756 43.800 43.682 emean 0.135 0.142 0.131 emin 0.120 0.127 0.116 emax 0.151 0.158 0.145 imean 24.913 24.928 24.898 imin 24.459 24.468 24.457 imax 25.269 25.282 25.211 excite_mean 0.442 0.445 0.441 fracstop 1.000 1.000 1.000 cjmean 2.850 2.848 2.851 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 188.3 187.6 186.2 kozaiamp 179.9 180.0 180.0