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: 15VP167 # Created Fri Mar 29 01:18:28 2024 # Orbit generated from Bernstein formalism # Fitting 38 observations of 38 # Arc: 2.35y # First observation: 2015/08/12 # Last observation: 2017/12/16 Preliminary a, adot, b, bdot, g, gdot: -0.000138 0.027859 0.000001 0.011032 0.027573 0.000000 # Chi-squared of fit: 6.09 DOF: 70 RMS: 0.07 # Min/Max residuals: -0.29 0.15 # Exact a, adot, b, bdot, g, gdot: 1.600764E-05 2.739217E-02 6.192835E-06 1.087093E-02 2.724205E-02 2.737642E-03 # Covariance matrix: 1.5280E-13 3.8303E-15 -3.8893E-15 2.9853E-14 1.1283E-13 1.3761E-12 3.8303E-15 2.7557E-13 -2.7549E-14 1.2824E-13 1.7786E-13 5.8082E-12 -3.8893E-15 -2.7549E-14 8.4004E-14 -7.5859E-14 -1.9779E-14 -8.4142E-13 2.9853E-14 1.2824E-13 -7.5859E-14 1.6177E-13 1.0465E-13 3.8274E-12 1.1283E-13 1.7786E-13 -1.9779E-14 1.0465E-13 2.2169E-13 4.7658E-12 1.3761E-12 5.8082E-12 -8.4142E-13 3.8274E-12 4.7658E-12 1.7317E-10 # lat0 lon0 xBary yBary zBary JD0 -3.032306 49.429901 1.015769 0.000065 -0.001110 2457247.082569 # Heliocentric elements and errors Epoch: 2457240.5000 = 2015/08/06 Mean Anomaly: 30.30906 +/- 0.136 Argument of Peri: 313.84828 +/- 0.184 Long of Asc Node: 55.48039 +/- 0.000 Inclination: 21.73287 +/- 0.001 Eccentricity: 0.11551537 +/- 0.0003 Semi-Major Axis: 40.60743616 +/- 0.0038 Time of Perihelion: 2449282.9982 +/- 35.6 Perihelion: 35.91665303 +/- 0.0132 Aphelion: 45.29821929 +/- 0.0135 Period (y) 258.7716 +/- 0.04 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 24.60895979 +/- 0.0004 Ecliptic Y 27.18484763 +/- 0.0005 Ecliptic Z -1.94155660 +/- 0.0000 Ecliptic XDOT -0.00187693 +/- 0.0000 Ecliptic YDOT 0.00203670 +/- 0.0000 Ecliptic ZDOT 0.00107651 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 36.72038241 +/- 0.0005 Geocenter to KBO 36.70795301 +/- 0.0006 # Hcoef: 8.43
The following table shows the complete astrometric record for 15VP167. 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 (15VP167) followed by the observatory code and reference code for the source of the astrometry.
2015 08 12.58178 03 11 18.998 +14 40 00.79 24.2w 15VP167 568 C~2lVj 2015 08 12.58594 03 11 19.004 +14 40 00.50 24.2w 15VP167 568 C~2lVj 2015 09 07.54100 03 11 07.731 +14 39 49.60 24.3w 15VP167 568 C~2lVj 2015 09 12.53775 03 10 57.478 +14 39 17.19 24.4w 15VP167 568 C~2lVj 2015 10 07.48475 03 09 32.038 +14 34 36.31 24.5w 15VP167 568 C~2lVj 2015 10 08.48746 03 09 27.574 +14 34 21.63 24.3w 15VP167 568 C~2lVj 2015 10 08.54568 03 09 27.298 +14 34 20.91 24.0w 15VP167 568 C~2lVj 2015 10 08.55734 03 09 27.238 +14 34 20.59 24.1w 15VP167 568 C~2lVj 2015 10 08.57055 03 09 27.183 +14 34 20.24 24.1w 15VP167 568 C~2lVj 2015 11 06.30199 03 06 57.267 +14 26 24.78 24.0r 15VP167 568 C~2lVj 2015 11 06.36535 03 06 56.913 +14 26 23.79 24.1r 15VP167 568 C~2lVj 2015 11 06.43596 03 06 56.507 +14 26 22.55 23.9r 15VP167 568 C~2lVj 2015 11 06.50529 03 06 56.102 +14 26 21.24 24.0r 15VP167 568 C~2lVj 2015 11 07.52528 03 06 50.311 +14 26 03.72 24.2w 15VP167 568 C~2lVj 2015 11 17.29127 03 05 54.706 +14 23 19.40 24.2w 15VP167 568 C~2lVj 2015 11 17.34053 03 05 54.419 +14 23 18.66 24.2w 15VP167 568 C~2lVj 2015 12 06.41938 03 04 10.926 +14 18 41.46 24.3w 15VP167 568 C~2lVj 2015 12 13.35388 03 03 37.207 +14 17 23.75 24.4w 15VP167 568 C~2lVj 2015 12 13.41241 03 03 36.938 +14 17 23.16 24.5w 15VP167 568 C~2lVj 2016 01 01.40713 03 02 22.303 +14 15 19.72 24.5w 15VP167 568 C~2lVj 2016 01 07.35336 03 02 05.427 +14 15 11.94 24.3w 15VP167 568 C~2lVj 2016 02 04.27768 03 01 35.868 +14 18 17.52 24.2w 15VP167 568 C~2lVj 2016 02 10.26747 03 01 40.802 +14 19 45.35 24.6w 15VP167 568 C~2lVj 2016 09 06.61716 03 16 45.989 +15 41 17.72 15VP167 568 C~2lVj 2016 09 26.60468 03 15 53.430 +15 38 52.04 24.6w 15VP167 568 C~2lVj 2016 10 10.41386 03 14 56.783 +15 36 02.71 24.4w 15VP167 568 C~2lVj 2016 10 10.47261 03 14 56.506 +15 36 01.87 24.5w 15VP167 568 C~2lVj 2016 10 27.50838 03 13 29.993 +15 31 42.43 24.3w 15VP167 568 C~2lVj 2016 11 03.53341 03 12 50.891 +15 29 47.15 24.2w 15VP167 568 C~2lVj 2016 12 28.40571 03 08 10.720 +15 18 09.06 24.4w 15VP167 568 C~2lVj 2016 12 29.36323 03 08 07.356 +15 18 04.38 23.5w 15VP167 568 C~2lVj 2017 01 01.26044 03 07 57.683 +15 17 52.41 24.2w 15VP167 568 C~2lVj 2017 01 02.37026 03 07 54.160 +15 17 48.78 24.6w 15VP167 568 C~2lVj 2017 01 26.26424 03 07 09.063 +15 18 41.17 24.4w 15VP167 568 C~2lVj 2017 09 16.60944 03 22 05.876 +16 41 14.16 24.5w 15VP167 568 C~2lVj 2017 09 23.54857 03 21 46.229 +16 40 27.34 15VP167 568 C~2lVj 2017 12 16.38250 03 14 41.814 +16 21 42.78 24.3w 15VP167 568 C~2lVj 2017 12 16.38715 03 14 41.794 +16 21 42.69 24.6w 15VP167 568 C~2lVj
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 -0.02 0.00 0.02 2 0.0000 0.01 -0.07 -0.30 -0.29 3 0.0711 -160.53 0.04 32.96 0.01 4 0.0848 -312.57 0.00 41.56 0.08 5 0.1531 -1582.60 0.01 104.05 0.03 6 0.1558 -1648.97 0.13 107.37 -0.02 7 0.1560 -1653.02 0.05 107.75 0.15 8 0.1560 -1653.95 -0.08 107.68 0.03 9 0.1560 -1654.81 -0.04 107.56 -0.14 10 0.2347 -3879.71 -0.14 239.23 0.06 11 0.2349 -3884.93 0.03 239.68 0.11 12 0.2351 -3890.94 0.04 240.09 0.07 13 0.2352 -3896.96 -0.06 240.43 -0.01 14 0.2380 -3982.71 0.01 246.46 0.00 15 0.2648 -4805.11 0.07 308.63 -0.02 16 0.2649 -4809.32 0.04 309.06 0.05 17 0.3171 -6332.80 0.13 454.68 -0.02 18 0.3361 -6825.88 -0.06 514.90 0.03 19 0.3363 -6829.80 0.07 515.41 0.00 20 0.3883 -7908.06 -0.12 696.56 0.00 21 0.4046 -8146.33 0.02 757.10 -0.10 22 0.4810 -8508.31 -0.04 1054.85 -0.01 23 0.4974 -8414.88 -0.04 1119.37 -0.09 24 1.0706 5539.11 -0.11 2294.82 0.14 25 1.1253 4767.84 -0.08 2352.95 -0.03 26 1.1631 3933.38 0.06 2404.64 0.04 27 1.1633 3929.29 0.04 2404.88 0.01 28 1.2099 2654.65 0.06 2484.88 -0.03 29 1.2292 2079.05 0.07 2523.69 0.02 30 1.3794 -2011.87 -0.10 2938.31 0.00 31 1.3820 -2060.00 -0.05 2947.00 -0.00 32 1.3899 -2197.99 0.09 2973.42 -0.06 33 1.3930 -2248.05 0.02 2983.75 0.00 34 1.4584 -2861.96 0.03 3211.46 -0.02 35 2.0973 10930.16 0.03 4583.28 -0.00 36 2.1163 10644.43 -0.00 4609.97 -0.11 37 2.3458 4448.03 -0.03 5106.32 0.07 38 2.3458 4447.73 -0.01 5106.31 0.02
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.
15VP167 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 41.020 41.036 41.004 ecceobj 0.125 0.126 0.124 incobj 21.669 21.669 21.669 qmin 34.369 34.197 34.738 qmax 47.374 47.439 46.908 amean 40.698 40.698 40.698 amin 40.343 40.359 40.348 amax 41.073 41.081 41.071 emean 0.125 0.127 0.122 emin 0.093 0.092 0.098 emax 0.154 0.157 0.144 imean 20.128 20.089 20.190 imin 19.131 19.138 19.354 imax 21.012 21.086 20.999 excite_mean 0.366 0.367 0.366 fracstop 1.000 1.000 1.000 cjmean 2.905 2.905 2.905 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 181.0 186.2 172.9 kozaiamp 180.0 180.0 180.0