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: 16PK220 # Created Sat Apr 27 01:18:03 2024 # Orbit generated from Bernstein formalism # Fitting 13 observations of 13 # Arc: 4.78y # First observation: 2014/12/20 # Last observation: 2019/09/29 Preliminary a, adot, b, bdot, g, gdot: 0.000167 0.018805 0.000091 0.013983 0.023582 0.000000 # Chi-squared of fit: 11.04 DOF: 20 RMS: 0.16 # Min/Max residuals: -0.28 0.32 # Exact a, adot, b, bdot, g, gdot: 1.303361E-05 1.902022E-02 8.606610E-06 1.409513E-02 2.350774E-02 4.418076E-03 # Covariance matrix: 1.2248E-12 -6.3608E-13 2.7556E-13 -3.0720E-13 -4.0953E-13 -4.1286E-12 -6.3608E-13 4.7594E-13 -2.4074E-13 2.5873E-13 1.9068E-13 3.5297E-12 2.7556E-13 -2.4074E-13 7.0393E-13 -3.0180E-13 -1.1134E-13 -2.0091E-12 -3.0720E-13 2.5873E-13 -3.0180E-13 2.1229E-13 1.3903E-13 2.1706E-12 -4.0953E-13 1.9068E-13 -1.1134E-13 1.3903E-13 4.2350E-13 1.7874E-12 -4.1286E-12 3.5297E-12 -2.0091E-12 2.1706E-12 1.7874E-12 2.9548E-11 # lat0 lon0 xBary yBary zBary JD0 -22.400688 24.026991 -0.881786 -0.165463 -0.401964 2457011.650128 # Heliocentric elements and errors Epoch: 2457010.5000 = 2014/12/19 Mean Anomaly: 43.80875 +/- 0.015 Argument of Peri: 258.43255 +/- 0.025 Long of Asc Node: 51.79941 +/- 0.000 Inclination: 42.41264 +/- 0.000 Eccentricity: 0.24166644 +/- 0.0002 Semi-Major Axis: 49.82394230 +/- 0.0086 Time of Perihelion: 2441378.5212 +/- 3.2 Perihelion: 37.78316771 +/- 0.0137 Aphelion: 61.86471688 +/- 0.0161 Period (y) 351.6943 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 35.95660503 +/- 0.0010 Ecliptic Y 16.99741940 +/- 0.0005 Ecliptic Z -16.21062390 +/- 0.0004 Ecliptic XDOT 0.00009988 +/- 0.0000 Ecliptic YDOT 0.00246652 +/- 0.0000 Ecliptic ZDOT 0.00132174 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 42.94850449 +/- 0.0009 Geocenter to KBO 42.53918254 +/- 0.0012 # Hcoef: 7.59
The following table shows the complete astrometric record for 16PK220. 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 (16PK220) followed by the observatory code and reference code for the source of the astrometry.
2014 12 20.14935 02 01 54.627 -11 31 50.97 23.7r 16PK220 W84 C~55ZE 2016 08 15.42631 02 15 34.225 -08 46 04.93 23.5i 16PK220 W84 C~55ZE 2016 09 08.34864 02 14 44.794 -08 57 16.29 23.2r 16PK220 W84 C~55ZE 2016 10 27.19992 02 11 18.348 -09 17 01.23 23.1i 16PK220 W84 C~55ZE 2016 10 27.20130 02 11 18.337 -09 17 00.92 23.8r 16PK220 W84 C~55ZE 2016 12 31.08714 02 07 11.380 -09 09 48.09 23.4r 16PK220 W84 C~55ZE 2017 12 14.06763 02 10 40.482 -08 08 30.75 24.3g 16PK220 W84 C~55ZE 2018 11 16.11363 02 15 17.099 -07 03 21.36 23.7i 16PK220 W84 C~55ZE 2018 11 30.10951 02 14 16.402 -07 03 19.17 23.5r 16PK220 W84 C~55ZE 2018 11 30.11088 02 14 16.393 -07 03 19.19 24.3g 16PK220 W84 C~55ZE 2019 09 29.43792 02 21 40.80 -05 42 34.2 25.0r 16PK220 T09 C~7guR 2019 09 29.44921 02 21 40.75 -05 42 34.3 25.0r 16PK220 T09 C~7guR 2019 09 29.50214 02 21 40.54 -05 42 35.7 25.0i 16PK220 T09 C~7guR
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 0.18
2 1.6544 14980.33 0.32 4677.13 -0.17
3 1.7199 14042.35 -0.22 4333.08 -0.28
4 1.8537 10751.20 -0.08 4392.89 -0.05
5 1.8537 10751.17 -0.01 4393.24 0.28
6 2.0313 7519.59 0.08 6170.77 0.15
7 2.9840 11788.99 -0.25 8422.33 -0.23
8 3.9068 17110.00 0.25 10503.77 0.02
9 3.9451 16268.89 0.12 10848.73 -0.09
10 3.9451 16268.76 0.06 10848.76 -0.10
11 4.7756 24336.35 -0.11 12843.98 0.01
12 4.7756 24335.61 -0.09 12844.18 0.20
13 4.7758 24332.12 -0.03 12844.07 0.08
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.
16PK220 quality flag:2 Type: SCATEXTD SCATNEAR SCATEXTD axisobj 50.339 50.366 50.312 ecceobj 0.248 0.249 0.248 incobj 42.341 42.341 42.341 qmin 37.243 36.428 37.290 qmax 63.339 64.201 63.270 amean 50.034 50.043 49.995 amin 49.581 49.577 49.553 amax 50.560 50.595 50.506 emean 0.233 0.255 0.234 emin 0.216 0.237 0.218 emax 0.253 0.270 0.253 imean 41.686 41.320 41.652 imin 41.342 41.034 41.337 imax 42.059 41.662 42.032 excite_mean 0.705 0.708 0.705 fracstop 1.000 1.000 1.000 cjmean 2.475 2.475 2.475 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 171.6 177.9 172.0 kozaiamp 180.0 180.0 180.0