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: 15VE164 # Created Fri Nov 22 02:10:31 2024 # Orbit generated from Bernstein formalism # Fitting 22 observations of 22 # Arc: 1.37y # First observation: 2015/08/11 # Last observation: 2016/12/24 Preliminary a, adot, b, bdot, g, gdot: -0.000202 0.099717 -0.000267 -0.073824 0.066495 0.000000 # Chi-squared of fit: 5.93 DOF: 38 RMS: 0.09 # Min/Max residuals: -0.22 0.20 # Exact a, adot, b, bdot, g, gdot: 2.444232E-05 9.496360E-02 -1.804576E-05 -7.114388E-02 6.323608E-02 1.957909E-02 # Covariance matrix: 2.9415E-13 2.8400E-13 6.6356E-14 -4.0777E-13 4.2065E-13 4.2538E-12 2.8400E-13 6.2896E-12 1.0434E-12 -6.7019E-12 2.9591E-12 6.7310E-11 6.6356E-14 1.0434E-12 3.1514E-13 -1.2928E-12 5.0101E-13 1.1631E-11 -4.0777E-13 -6.7019E-12 -1.2928E-12 7.6933E-12 -3.1875E-12 -7.4766E-11 4.2065E-13 2.9591E-12 5.0101E-13 -3.1875E-12 1.8061E-12 3.2276E-11 4.2538E-12 6.7310E-11 1.1631E-11 -7.4766E-11 3.2276E-11 7.5042E-10 # lat0 lon0 xBary yBary zBary JD0 -0.074998 50.891283 1.015029 0.000177 0.041943 2457246.073039 # Heliocentric elements and errors Epoch: 2457240.5000 = 2015/08/06 Mean Anomaly: 6.81516 +/- 0.011 Argument of Peri: 159.73438 +/- 0.036 Long of Asc Node: 227.11615 +/- 0.000 Inclination: 36.55781 +/- 0.000 Eccentricity: 0.45697603 +/- 0.0002 Semi-Major Axis: 28.52738486 +/- 0.0058 Time of Perihelion: 2456186.9260 +/- 1.7 Perihelion: 15.49105390 +/- 0.0054 Aphelion: 41.56371582 +/- 0.0096 Period (y) 152.3706 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 10.73254610 +/- 0.0002 Ecliptic Y 11.59764432 +/- 0.0003 Ecliptic Z -0.02095199 +/- 0.0000 Ecliptic XDOT -0.00266022 +/- 0.0000 Ecliptic YDOT 0.00324181 +/- 0.0000 Ecliptic ZDOT -0.00308127 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 15.80168784 +/- 0.0002 Geocenter to KBO 15.81375722 +/- 0.0003 # Hcoef: 11.85
The following table shows the complete astrometric record for 15VE164. 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 (15VE164) followed by the observatory code and reference code for the source of the astrometry.
2015 08 11.57225 03 13 54.815 +17 54 21.14 24.3w 15VE164 568 C~2jiD 2015 09 06.61892 03 14 37.458 +17 38 26.21 24.2w 15VE164 568 C~2jiD 2015 09 12.50905 03 14 23.753 +17 33 11.46 24.2w 15VE164 568 C~2jiD 2015 10 07.43992 03 11 59.002 +17 04 56.22 24.0w 15VE164 568 C~2jiD 2015 10 07.44703 03 11 58.934 +17 04 55.60 23.9w 15VE164 568 C~2jiD 2015 10 08.45165 03 11 50.507 +17 03 36.41 24.2w 15VE164 568 C~2jiD 2015 10 08.51072 03 11 50.013 +17 03 31.84 24.1w 15VE164 568 C~2jiD 2015 11 06.29151 03 06 54.419 +16 21 57.76 23.9r 15VE164 568 C~2jiD 2015 11 06.35485 03 06 53.684 +16 21 51.99 23.5r 15VE164 568 C~2jiD 2015 11 06.42547 03 06 52.882 +16 21 45.80 23.7r 15VE164 568 C~2jiD 2015 11 06.49480 03 06 52.074 +16 21 39.29 23.8r 15VE164 568 C~2jiD 2015 11 07.51356 03 06 40.443 +16 20 06.30 23.9w 15VE164 568 C~2jiD 2015 11 17.27960 03 04 48.866 +16 05 17.35 23.8w 15VE164 568 C~2jiD 2015 11 17.32888 03 04 48.298 +16 05 12.96 24.0w 15VE164 568 C~2jiD 2016 09 25.61312 03 40 08.581 +14 40 00.66 24.1w 15VE164 568 C~2jiD 2016 10 10.55232 03 38 32.915 +14 20 45.28 24.2w 15VE164 568 C~2jiD 2016 10 10.60084 03 38 32.514 +14 20 41.32 24.1w 15VE164 568 C~2jiD 2016 10 28.48801 03 35 47.139 +13 55 40.70 24.1w 15VE164 568 C~2jiD 2016 10 29.52657 03 35 36.253 +13 54 11.66 24.2w 15VE164 568 C~2jiD 2016 10 29.55008 03 35 36.004 +13 54 09.60 24.1w 15VE164 568 C~2jiD 2016 11 02.57961 03 34 52.878 +13 48 24.16 24.2w 15VE164 568 C~2jiD 2016 12 24.34024 03 25 52.375 +12 44 05.59 15VE164 568 C~2jiD
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 -0.14 0.00 0.05
2 0.0713 336.27 -0.09 -1081.60 0.13
3 0.0874 64.45 -0.03 -1333.76 -0.07
4 0.1557 -2383.31 0.17 -2420.28 0.01
5 0.1557 -2384.41 0.04 -2420.62 -0.02
6 0.1585 -2522.00 -0.10 -2464.80 -0.02
7 0.1586 -2530.05 0.20 -2467.32 -0.00
8 0.2374 -7295.18 -0.13 -3726.88 0.03
9 0.2376 -7306.95 -0.17 -3729.56 -0.00
10 0.2378 -7319.76 0.16 -3732.37 0.14
11 0.2380 -7332.74 0.09 -3735.48 -0.03
12 0.2408 -7519.44 0.00 -3779.43 -0.13
13 0.2675 -9312.00 -0.01 -4195.66 -0.07
14 0.2676 -9321.10 0.01 -4197.64 -0.04
15 1.1254 19159.68 0.04 -16992.90 0.03
16 1.1663 17523.38 0.17 -17794.44 -0.03
17 1.1664 17516.72 0.04 -17796.93 -0.01
18 1.2154 14800.57 0.08 -18686.29 0.09
19 1.2182 14623.96 -0.09 -18734.93 0.05
20 1.2183 14619.91 -0.05 -18736.06 -0.00
21 1.2293 13921.88 -0.22 -18921.17 -0.06
22 1.3710 5270.75 0.03 -20728.78 -0.05
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.
15VE164 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 28.696 28.797 28.596 ecceobj 0.460 0.462 0.458 incobj 36.536 36.535 36.537 qmin 15.020 14.956 15.111 qmax 42.491 43.248 42.169 amean 28.533 28.831 28.457 amin 28.056 28.465 28.218 amax 28.878 29.239 28.929 emean 0.449 0.460 0.446 emin 0.386 0.404 0.378 emax 0.474 0.482 0.468 imean 37.514 37.267 37.585 imin 36.557 36.358 36.704 imax 39.863 39.558 39.960 excite_mean 0.757 0.761 0.756 fracstop 0.059 0.059 0.055 cjmean 2.446 2.439 2.448 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 194.0 192.5 197.3 kozaiamp 28.4 29.1 31.7