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: 15KM167 # Created Fri Nov 22 02:10:22 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 2.03y # First observation: 2015/03/19 # Last observation: 2017/03/28 Preliminary a, adot, b, bdot, g, gdot: -0.000216 0.035441 0.000017 -0.002277 0.029537 0.000000 # Chi-squared of fit: 5.74 DOF: 44 RMS: 0.08 # Min/Max residuals: -0.24 0.17 # Exact a, adot, b, bdot, g, gdot: 1.918914E-05 3.493320E-02 -5.820283E-08 -2.248523E-03 2.939019E-02 -6.048279E-03 # Covariance matrix: 2.4719E-13 -1.1163E-13 -5.2403E-15 -5.4324E-16 1.5133E-13 9.3264E-13 -1.1163E-13 5.7173E-13 -2.8157E-16 -2.5652E-14 1.8778E-13 9.5846E-12 -5.2403E-15 -2.8157E-16 1.3946E-13 -1.2596E-13 -7.1593E-15 -3.4837E-14 -5.4324E-16 -2.5652E-14 -1.2596E-13 1.9599E-13 -1.2183E-14 -6.4904E-13 1.5133E-13 1.8778E-13 -7.1593E-15 -1.2183E-14 2.8697E-13 5.5316E-12 9.3264E-13 9.5846E-12 -3.4837E-14 -6.4904E-13 5.5316E-12 2.4638E-10 # lat0 lon0 xBary yBary zBary JD0 7.846383 -122.790325 0.847935 0.070519 -0.510881 2457101.145738 # Heliocentric elements and errors Epoch: 2457100.5000 = 2015/03/19 Mean Anomaly: 336.97066 +/- 0.028 Argument of Peri: 160.75989 +/- 0.070 Long of Asc Node: 121.06408 +/- 0.004 Inclination: 8.49580 +/- 0.000 Eccentricity: 0.33372227 +/- 0.0004 Semi-Major Axis: 47.84507611 +/- 0.0142 Time of Perihelion: 2464833.2369 +/- 8.7 Perihelion: 31.87810855 +/- 0.0208 Aphelion: 63.81204368 +/- 0.0265 Period (y) 330.9513 +/- 0.15 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -19.24895558 +/- 0.0003 Ecliptic Y -28.30982508 +/- 0.0005 Ecliptic Z 4.64503270 +/- 0.0001 Ecliptic XDOT 0.00301906 +/- 0.0000 Ecliptic YDOT -0.00132297 +/- 0.0000 Ecliptic ZDOT -0.00028433 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 34.54771795 +/- 0.0005 Geocenter to KBO 34.02496115 +/- 0.0006 # Hcoef: 8.90
The following table shows the complete astrometric record for 15KM167. 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 (15KM167) followed by the observatory code and reference code for the source of the astrometry.
2015 03 19.64496 15 47 00.608 -11 53 19.37 24.5r 15KM167 568 C~2WaY 2015 03 22.56564 15 46 54.207 -11 52 25.42 24.4r 15KM167 568 C~2WaY 2015 04 13.57652 15 45 39.693 -11 44 54.83 23.9r 15KM167 568 C~2WaY 2015 04 13.61766 15 45 39.510 -11 44 54.02 24.1r 15KM167 568 C~2WaY 2015 05 21.34720 15 42 22.905 -11 32 07.20 24.4r 15KM167 568 C~2WaY 2015 05 21.38827 15 42 22.667 -11 32 06.52 24.4r 15KM167 568 C~2WaY 2015 05 21.42959 15 42 22.426 -11 32 05.76 24.5r 15KM167 568 C~2WaY 2015 05 22.50587 15 42 16.348 -11 31 47.56 24.2r 15KM167 568 C~2WaY 2015 05 25.49667 15 41 59.558 -11 30 58.16 24.2r 15KM167 568 C~2WaY 2015 06 20.38582 15 39 44.916 -11 25 54.48 24.2r 15KM167 568 C~2WaY 2015 06 20.42660 15 39 44.721 -11 25 54.03 23.6r 15KM167 568 C~2WaY 2015 07 12.30961 15 38 22.107 -11 25 10.19 24.8r 15KM167 568 C~2WaY 2015 07 18.39769 15 38 06.515 -11 25 36.50 24.1r 15KM167 568 C~2WaY 2016 02 06.64530 15 54 33.693 -12 34 27.72 24.5w 15KM167 568 C~2WaY 2016 02 12.63085 15 54 49.596 -12 34 02.80 25.1w 15KM167 568 C~2WaY 2016 03 15.64429 15 55 02.187 -12 28 02.00 24.7w 15KM167 568 C~2WaY 2016 04 03.55878 15 54 15.113 -12 22 16.82 24.3w 15KM167 568 C~2WaY 2016 04 08.60833 15 53 56.688 -12 20 35.34 24.3w 15KM167 568 C~2WaY 2016 04 09.55226 15 53 53.021 -12 20 16.13 24.2w 15KM167 568 C~2WaY 2016 04 29.50547 15 52 20.460 -12 13 25.88 24.1w 15KM167 568 C~2WaY 2016 05 04.47810 15 51 54.022 -12 11 46.44 24.2w 15KM167 568 C~2WaY 2016 05 30.43772 15 49 28.192 -12 04 18.31 24.5w 15KM167 568 C~2WaY 2016 07 04.31437 15 46 39.995 -11 59 46.82 24.9w 15KM167 568 C~2WaY 2016 07 05.38672 15 46 36.064 -11 59 46.27 24.3w 15KM167 568 C~2WaY 2017 03 28.61223 16 02 40.957 -12 57 47.89 24.5w 15KM167 568 C~2WaY
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 -0.08 0.00 -0.24 2 0.0080 -103.53 0.05 31.94 -0.11 3 0.0683 -1270.08 -0.09 229.87 0.07 4 0.0684 -1272.88 -0.10 230.06 -0.02 5 0.1717 -4260.11 0.17 334.30 0.15 6 0.1718 -4263.68 0.14 334.18 0.12 7 0.1719 -4267.30 0.07 334.13 0.15 8 0.1748 -4358.48 -0.04 331.84 -0.04 9 0.1830 -4610.16 -0.12 324.62 -0.02 10 0.2539 -6608.43 0.00 174.26 -0.05 11 0.2540 -6611.33 -0.09 174.05 0.10 12 0.3139 -7805.69 -0.02 -59.09 -0.04 13 0.3306 -8023.24 0.09 -136.96 -0.00 14 0.8871 7021.84 -0.01 -970.25 -0.03 15 0.9035 7244.26 0.10 -896.24 -0.06 16 0.9911 7347.66 0.11 -504.20 0.07 17 1.0429 6599.45 -0.13 -313.92 -0.07 18 1.0567 6313.74 -0.07 -272.48 0.02 19 1.0593 6257.09 0.12 -265.21 0.07 20 1.1139 4842.97 0.01 -155.74 -0.04 21 1.1275 4442.85 -0.02 -142.20 0.00 22 1.1986 2257.38 -0.04 -168.56 -0.07 23 1.2941 -209.72 0.04 -444.57 0.02 24 1.2970 -266.10 -0.06 -456.75 -0.00 25 2.0259 14305.37 -0.02 -846.14 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.
15KM167 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.424 47.451 47.397 ecceobj 0.331 0.332 0.330 incobj 8.492 8.492 8.492 qmin 31.105 31.058 31.134 qmax 65.438 65.432 65.392 amean 47.797 47.797 47.797 amin 47.191 47.224 47.214 amax 48.552 48.524 48.550 emean 0.325 0.331 0.327 emin 0.296 0.307 0.299 emax 0.349 0.350 0.348 imean 7.949 7.256 7.671 imin 6.196 6.020 6.234 imax 10.169 9.156 9.819 excite_mean 0.355 0.354 0.354 fracstop 1.000 1.000 1.000 cjmean 2.989 2.988 2.989 libcent 0 285.0 285.4 285.6 libamp 0 33.2 32.2 31.8 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 140.8 155.3 151.3 kozaiamp 180.0 180.0 180.0