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: 16ER398 # Created Mon Apr 28 01:10:46 2025 # Orbit generated from Bernstein formalism # Fitting 24 observations of 24 # Arc: 3.08y # First observation: 2016/02/08 # Last observation: 2019/03/08 Preliminary a, adot, b, bdot, g, gdot: -0.000226 0.024112 0.000011 -0.002611 0.022667 0.000000 # Chi-squared of fit: 17.99 DOF: 42 RMS: 0.15 # Min/Max residuals: -0.31 0.39 # Exact a, adot, b, bdot, g, gdot: 1.520550E-05 2.380233E-02 -3.636865E-06 -2.603234E-03 2.332775E-02 -4.792179E-03 # Covariance matrix: 3.3113E-13 1.0408E-12 -5.3512E-15 -1.1639E-13 8.5482E-13 1.6061E-11 1.0408E-12 6.8046E-12 -2.1242E-14 -6.9621E-13 4.5218E-12 9.8152E-11 -5.3512E-15 -2.1242E-14 1.1763E-13 -3.8766E-14 -2.0538E-14 -3.2620E-13 -1.1639E-13 -6.9621E-13 -3.8766E-14 1.0224E-13 -4.8157E-13 -1.0136E-11 8.5482E-13 4.5218E-12 -2.0538E-14 -4.8157E-13 3.4488E-12 6.6761E-11 1.6061E-11 9.8152E-11 -3.2620E-13 -1.0136E-11 6.6761E-11 1.4257E-09 # lat0 lon0 xBary yBary zBary JD0 -11.161368 139.374604 0.012701 -0.190420 -0.966045 2457426.923819 # Heliocentric elements and errors Epoch: 2457420.5000 = 2016/02/02 Mean Anomaly: 330.05948 +/- 0.092 Argument of Peri: 294.43456 +/- 0.217 Long of Asc Node: 259.20501 +/- 0.002 Inclination: 12.53073 +/- 0.000 Eccentricity: 0.29422844 +/- 0.0015 Semi-Major Axis: 56.35262313 +/- 0.0601 Time of Perihelion: 2470271.1914 +/- 33.7 Perihelion: 39.77207901 +/- 0.0954 Aphelion: 72.93316725 +/- 0.1156 Period (y) 423.0380 +/- 0.68 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -32.66345547 +/- 0.0025 Ecliptic Y 28.03206964 +/- 0.0022 Ecliptic Z -8.29814103 +/- 0.0007 Ecliptic XDOT -0.00135565 +/- 0.0000 Ecliptic YDOT -0.00252502 +/- 0.0000 Ecliptic ZDOT -0.00019086 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.83557227 +/- 0.0024 Geocenter to KBO 42.86740716 +/- 0.0034 # Hcoef: 8.51
The following table shows the complete astrometric record for 16ER398. 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 (16ER398) followed by the observatory code and reference code for the source of the astrometry.
2016 02 08.42303 09 13 15.67 +04 23 14.4 24.7r 16ER398 T09 C~8eUr 2016 02 08.44625 09 13 15.53 +04 23 14.5 24.9r 16ER398 T09 C~8eUr 2016 02 08.47058 09 13 15.43 +04 23 15.0 25.0r 16ER398 T09 C~8eUr 2016 02 08.47270 09 13 15.42 +04 23 14.9 25.2r 16ER398 T09 C~8eUr 2016 03 04.34374 09 11 28.75 +04 32 25.6 24.3i 16ER398 T09 C~8eUr 2016 03 04.37256 09 11 28.62 +04 32 25.9 24.4i 16ER398 T09 C~8eUr 2016 03 04.38622 09 11 28.58 +04 32 26.3 24.3i 16ER398 T09 C~8eUr 2016 03 07.35383 09 11 17.25 +04 33 36.9 25.6g 16ER398 T09 C~8eUr 2016 03 07.37297 09 11 17.17 +04 33 37.7 25.8g 16ER398 T09 C~8eUr 2016 03 07.40429 09 11 17.05 +04 33 38.4 25.4g 16ER398 T09 C~8eUr 2016 03 12.30519 09 10 59.34 +04 35 34.9 24.8z 16ER398 T09 C~8eUr 2016 03 12.32109 09 10 59.27 +04 35 35.4 24.5z 16ER398 T09 C~8eUr 2016 03 12.33760 09 10 59.22 +04 35 35.7 24.1z 16ER398 T09 C~8eUr 2018 11 15.53970 09 32 16.86 +02 40 56.8 24.8z 16ER398 T09 C~8eUr 2018 11 15.55104 09 32 16.88 +02 40 56.4 24.2z 16ER398 T09 C~8eUr 2018 11 15.58818 09 32 16.90 +02 40 55.9 24.2z 16ER398 T09 C~8eUr 2018 11 15.61442 09 32 16.91 +02 40 55.3 24.9z 16ER398 T09 C~8eUr 2019 01 06.45393 09 30 50.80 +02 33 52.2 26.0g 16ER398 T09 C~8eUr 2019 01 06.58489 09 30 50.34 +02 33 52.8 25.4g 16ER398 T09 C~8eUr 2019 01 06.59550 09 30 50.33 +02 33 53.2 25.8g 16ER398 T09 C~8eUr 2019 01 06.61703 09 30 50.23 +02 33 53.2 25.5g 16ER398 T09 C~8eUr 2019 03 08.29181 09 26 31.03 +02 52 05.6 24.9r 16ER398 T09 C~8eUr 2019 03 08.29390 09 26 31.03 +02 52 05.6 24.8r 16ER398 T09 C~8eUr 2019 03 08.31288 09 26 30.92 +02 52 06.1 25.0r 16ER398 T09 C~8eUr
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 0.19 0.00 0.39
2 0.0001 -2.03 -0.17 -0.54 -0.10
3 0.0001 -3.60 -0.01 -0.52 -0.03
4 0.0001 -3.71 0.03 -0.66 -0.16
5 0.0682 -1690.80 0.06 41.69 0.13
6 0.0683 -1692.74 -0.05 41.39 -0.31
7 0.0683 -1693.43 0.13 41.59 -0.17
8 0.0765 -1876.28 0.09 57.69 -0.09
9 0.0765 -1877.66 -0.11 58.09 0.21
10 0.0766 -1879.58 -0.10 58.22 0.16
11 0.0900 -2167.23 0.08 89.28 -0.03
12 0.0901 -2168.38 -0.15 89.44 0.02
13 0.0901 -2169.19 0.01 89.50 -0.03
14 2.7683 18189.83 -0.18 -627.80 -0.05
15 2.7683 18190.24 0.07 -628.08 -0.13
16 2.7684 18190.68 0.00 -628.47 0.15
17 2.7685 18191.01 -0.02 -629.00 0.10
18 2.9104 17085.42 -0.29 -1431.01 -0.13
19 2.9108 17078.63 0.03 -1432.56 -0.19
20 2.9108 17078.36 0.33 -1432.22 0.27
21 2.9109 17076.92 0.07 -1432.68 0.05
22 3.0770 13023.78 0.07 -1583.63 0.03
23 3.0770 13023.78 0.21 -1583.63 0.02
24 3.0770 13022.05 -0.29 -1583.66 -0.12
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.
16ER398 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 55.858 55.999 55.721 ecceobj 0.286 0.290 0.282 incobj 12.506 12.506 12.507 qmin 39.125 38.987 39.250 qmax 73.560 74.068 73.166 amean 55.915 56.066 55.765 amin 55.331 55.486 55.168 amax 56.617 56.806 56.480 emean 0.285 0.289 0.281 emin 0.272 0.277 0.266 emax 0.299 0.304 0.295 imean 14.257 14.227 14.256 imin 13.750 13.745 13.783 imax 14.605 14.608 14.659 excite_mean 0.376 0.379 0.373 fracstop 1.000 1.000 1.000 cjmean 3.071 3.070 3.072 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 181.7 186.7 173.4 kozaiamp 180.0 179.9 180.0