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: 15VM167 # Created Tue Apr 23 01:17:35 2024 # Orbit generated from Bernstein formalism # Fitting 25 observations of 25 # Arc: 2.27y # First observation: 2015/09/07 # Last observation: 2017/12/16 Preliminary a, adot, b, bdot, g, gdot: -0.000262 0.042260 -0.000017 -0.002761 0.034014 0.000000 # Chi-squared of fit: 3.60 DOF: 44 RMS: 0.07 # Min/Max residuals: -0.14 0.14 # Exact a, adot, b, bdot, g, gdot: 1.962459E-05 4.211196E-02 -1.340754E-06 -2.769273E-03 3.404375E-02 5.710069E-03 # Covariance matrix: 2.3620E-13 7.8000E-14 6.1758E-15 -1.3791E-14 2.2309E-13 2.1552E-12 7.8000E-14 7.8399E-13 2.1822E-14 -6.4152E-14 5.7898E-13 1.0260E-11 6.1758E-15 2.1822E-14 1.3739E-13 -8.8278E-14 1.9702E-14 3.2006E-13 -1.3791E-14 -6.4152E-14 -8.8278E-14 1.0054E-13 -5.1766E-14 -9.6179E-13 2.2309E-13 5.7898E-13 1.9702E-14 -5.1766E-14 6.0625E-13 8.2077E-12 2.1552E-12 1.0260E-11 3.2006E-13 -9.6179E-13 8.2077E-12 1.5406E-10 # lat0 lon0 xBary yBary zBary JD0 -2.120048 49.176518 0.914171 -0.015838 -0.431675 2457273.037699 # Heliocentric elements and errors Epoch: 2457270.5000 = 2015/09/05 Mean Anomaly: 23.46405 +/- 0.045 Argument of Peri: 173.05616 +/- 0.077 Long of Asc Node: 198.81424 +/- 0.003 Inclination: 4.35531 +/- 0.000 Eccentricity: 0.20571484 +/- 0.0002 Semi-Major Axis: 36.34054755 +/- 0.0032 Time of Perihelion: 2452055.1186 +/- 10.0 Perihelion: 28.86475758 +/- 0.0077 Aphelion: 43.81633753 +/- 0.0082 Period (y) 219.0763 +/- 0.03 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 20.15967959 +/- 0.0004 Ecliptic Y 21.94186695 +/- 0.0005 Ecliptic Z -1.08666707 +/- 0.0000 Ecliptic XDOT -0.00227007 +/- 0.0000 Ecliptic YDOT 0.00254860 +/- 0.0000 Ecliptic ZDOT -0.00023949 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 29.81675790 +/- 0.0005 Geocenter to KBO 29.37396838 +/- 0.0007 # Hcoef: 9.82
The following table shows the complete astrometric record for 15VM167. 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 (15VM167) followed by the observatory code and reference code for the source of the astrometry.
2015 09 07.53691 03 09 17.488 +15 28 39.44 24.8w 15VM167 568 C~2lVj 2015 09 12.53366 03 09 06.849 +15 27 27.93 24.9w 15VM167 568 C~2lVj 2015 10 07.47747 03 07 31.417 +15 18 53.58 24.6w 15VM167 568 C~2lVj 2015 10 08.48165 03 07 26.293 +15 18 28.33 24.7w 15VM167 568 C~2lVj 2015 11 06.29678 03 04 32.705 +15 05 00.53 24.4r 15VM167 568 C~2lVj 2015 11 06.36009 03 04 32.266 +15 04 58.85 24.3r 15VM167 568 C~2lVj 2015 11 06.43072 03 04 31.795 +15 04 56.79 24.5r 15VM167 568 C~2lVj 2015 11 06.50005 03 04 31.347 +15 04 54.66 24.4r 15VM167 568 C~2lVj 2015 11 07.51946 03 04 24.629 +15 04 24.77 24.4w 15VM167 568 C~2lVj 2015 11 17.28542 03 03 20.307 +14 59 42.09 24.4w 15VM167 568 C~2lVj 2015 11 17.33469 03 03 19.980 +14 59 40.69 24.7w 15VM167 568 C~2lVj 2016 09 06.59240 03 19 04.661 +15 57 34.45 15VM167 568 C~2lVj 2016 09 26.58845 03 18 10.258 +15 52 11.15 25.1w 15VM167 568 C~2lVj 2016 11 02.54892 03 14 49.762 +15 36 43.70 24.6w 15VM167 568 C~2lVj 2016 11 04.42405 03 14 37.579 +15 35 51.37 25.0w 15VM167 568 C~2lVj 2016 12 28.40571 03 09 22.044 +15 14 57.45 25.2w 15VM167 568 C~2lVj 2016 12 29.36323 03 09 18.313 +15 14 44.32 25.0w 15VM167 568 C~2lVj 2017 01 01.26044 03 09 07.635 +15 14 08.02 25.3w 15VM167 568 C~2lVj 2017 01 02.37026 03 09 03.790 +15 13 55.25 25.0w 15VM167 568 C~2lVj 2017 01 26.26424 03 08 18.502 +15 12 03.19 24.9w 15VM167 568 C~2lVj 2017 09 16.63393 03 28 29.654 +16 22 24.00 24.8w 15VM167 568 C~2lVj 2017 09 17.59434 03 28 27.265 +16 22 09.49 24.8w 15VM167 568 C~2lVj 2017 09 23.57295 03 28 09.840 +16 20 31.36 24.5w 15VM167 568 C~2lVj 2017 12 16.35462 03 20 08.790 +15 47 19.37 25.0w 15VM167 568 C~2lVj 2017 12 16.35926 03 20 08.757 +15 47 19.36 24.7w 15VM167 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 -0.01 0.00 0.01
2 0.0137 -167.40 0.06 -27.34 0.01
3 0.0820 -1635.34 0.01 -148.55 -0.07
4 0.0847 -1713.55 0.03 -152.70 -0.04
5 0.1636 -4352.06 0.05 -242.52 -0.08
6 0.1638 -4358.63 -0.14 -242.39 0.14
7 0.1640 -4365.76 -0.11 -242.49 0.14
8 0.1642 -4372.59 0.08 -242.75 -0.01
9 0.1670 -4474.41 -0.05 -244.72 -0.01
10 0.1937 -5448.60 0.05 -259.45 -0.00
11 0.1938 -5453.54 0.05 -259.49 -0.01
12 0.9995 8640.31 0.04 -567.62 -0.00
13 1.0542 7797.23 -0.07 -676.50 -0.14
14 1.1554 4757.87 -0.08 -814.11 -0.08
15 1.1605 4574.20 0.11 -818.17 0.02
16 1.3083 -158.30 -0.06 -809.29 0.07
17 1.3110 -213.84 -0.06 -807.37 -0.10
18 1.3189 -372.44 -0.05 -800.61 0.03
19 1.3219 -429.47 0.07 -797.88 0.05
20 1.3873 -1090.86 0.04 -728.45 0.03
21 2.0263 16924.90 0.02 -1189.66 0.01
22 2.0289 16887.75 0.05 -1195.21 -0.07
23 2.0453 16618.69 -0.10 -1228.17 -0.01
24 2.2747 9376.97 0.07 -1401.55 -0.01
25 2.2747 9376.51 -0.01 -1401.44 0.10
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.
15VM167 quality flag:3 Type: 4:3E 4:3E 4:3E axisobj 36.746 36.764 36.729 ecceobj 0.215 0.216 0.214 incobj 4.338 4.338 4.338 qmin 28.206 28.170 28.245 qmax 45.071 45.064 45.038 amean 36.476 36.476 36.476 amin 36.144 36.172 36.136 amax 36.847 36.846 36.880 emean 0.196 0.197 0.196 emin 0.162 0.162 0.163 emax 0.225 0.225 0.224 imean 7.078 7.037 7.155 imin 4.154 4.147 3.905 imax 9.959 9.918 10.024 excite_mean 0.233 0.233 0.233 fracstop 1.000 1.000 1.000 cjmean 2.966 2.966 2.966 libcent 0 179.7 180.0 179.2 libamp 0 36.1 27.5 46.5 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 87.3 87.3 87.7 kozaiamp 77.2 76.6 74.2