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: 15VP164 # Created Sun Dec 22 02:10:32 2024 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 2.09y # First observation: 2015/08/20 # Last observation: 2017/09/22 Preliminary a, adot, b, bdot, g, gdot: -0.000194 0.035476 -0.000024 -0.003222 0.030837 0.000000 # Chi-squared of fit: 7.22 DOF: 52 RMS: 0.09 # Min/Max residuals: -0.23 0.22 # Exact a, adot, b, bdot, g, gdot: 1.720910E-05 3.504982E-02 -1.573364E-06 -3.216492E-03 3.052810E-02 8.159042E-03 # Covariance matrix: 2.5156E-13 -2.1399E-14 4.2628E-15 -1.0718E-14 1.8058E-13 1.7790E-12 -2.1399E-14 4.1856E-13 1.1307E-14 -4.1244E-14 2.2516E-13 6.7597E-12 4.2628E-15 1.1307E-14 1.1930E-13 -9.6737E-14 1.0304E-14 2.6531E-13 -1.0718E-14 -4.1244E-14 -9.6737E-14 1.3566E-13 -3.2362E-14 -9.6550E-13 1.8058E-13 2.2516E-13 1.0304E-14 -3.2362E-14 3.0860E-13 5.3282E-12 1.7790E-12 6.7597E-12 2.6531E-13 -9.6550E-13 5.3282E-12 1.5825E-10 # lat0 lon0 xBary yBary zBary JD0 -0.811063 54.166263 1.013244 -0.000612 -0.052471 2457255.045359 # Heliocentric elements and errors Epoch: 2457250.5000 = 2015/08/16 Mean Anomaly: 38.77051 +/- 0.016 Argument of Peri: 126.92234 +/- 0.041 Long of Asc Node: 223.64220 +/- 0.001 Inclination: 5.30024 +/- 0.001 Eccentricity: 0.25093899 +/- 0.0004 Semi-Major Axis: 39.17146818 +/- 0.0077 Time of Perihelion: 2447606.6116 +/- 2.9 Perihelion: 29.34181935 +/- 0.0150 Aphelion: 49.00111701 +/- 0.0169 Period (y) 245.1675 +/- 0.07 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 20.02318321 +/- 0.0004 Ecliptic Y 26.00299186 +/- 0.0005 Ecliptic Z -0.46370609 +/- 0.0000 Ecliptic XDOT -0.00212444 +/- 0.0000 Ecliptic YDOT 0.00242373 +/- 0.0000 Ecliptic ZDOT -0.00029874 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 32.82222531 +/- 0.0004 Geocenter to KBO 32.75670177 +/- 0.0006 # Hcoef: 8.91
The following table shows the complete astrometric record for 15VP164. 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 (15VP164) followed by the observatory code and reference code for the source of the astrometry.
2015 08 20.54457 03 28 01.146 +18 01 37.41 24.3w 15VP164 568 C~2lVX 2015 08 20.55007 03 28 01.140 +18 01 37.32 24.6w 15VP164 568 C~2lVX 2015 09 12.44733 03 27 51.019 +17 59 42.90 24.2w 15VP164 568 C~2lVX 2015 10 09.53675 03 26 22.398 +17 52 55.58 23.6w 15VP164 568 C~2lVX 2015 11 06.31257 03 23 50.463 +17 42 25.87 24.1r 15VP164 568 C~2lVX 2015 11 06.37589 03 23 50.062 +17 42 24.21 24.2r 15VP164 568 C~2lVX 2015 11 06.44667 03 23 49.627 +17 42 22.85 24.1r 15VP164 568 C~2lVX 2015 11 07.46686 03 23 43.390 +17 41 57.37 24.0w 15VP164 568 C~2lVX 2015 11 17.44798 03 22 41.709 +17 37 48.32 24.1w 15VP164 568 C~2lVX 2015 11 17.49527 03 22 41.398 +17 37 47.18 24.0w 15VP164 568 C~2lVX 2015 12 06.31417 03 20 48.412 +17 30 14.51 24.1w 15VP164 568 C~2lVX 2015 12 06.44064 03 20 47.695 +17 30 11.58 24.3w 15VP164 568 C~2lVX 2015 12 06.44787 03 20 47.626 +17 30 11.43 24.3w 15VP164 568 C~2lVX 2015 12 31.33561 03 18 47.950 +17 22 15.41 24.3w 15VP164 568 C~2lVX 2016 01 07.36493 03 18 24.141 +17 20 40.93 24.4w 15VP164 568 C~2lVX 2016 01 07.41708 03 18 23.973 +17 20 40.17 24.7w 15VP164 568 C~2lVX 2016 09 25.62123 03 35 42.717 +18 15 10.72 24.2w 15VP164 568 C~2lVX 2016 10 10.56080 03 34 44.810 +18 11 02.07 24.6w 15VP164 568 C~2lVX 2016 10 10.60927 03 34 44.576 +18 11 01.17 24.4w 15VP164 568 C~2lVX 2016 10 28.47058 03 33 11.729 +18 04 47.68 24.3w 15VP164 568 C~2lVX 2016 10 28.49380 03 33 11.592 +18 04 47.21 24.4w 15VP164 568 C~2lVX 2016 10 29.53251 03 33 05.602 +18 04 23.61 24.4w 15VP164 568 C~2lVX 2016 11 02.58549 03 32 41.806 +18 02 50.46 24.4w 15VP164 568 C~2lVX 2016 12 24.34518 03 27 43.398 +17 43 54.30 24.5w 15VP164 568 C~2lVX 2016 12 24.35704 03 27 43.345 +17 43 54.03 24.5w 15VP164 568 C~2lVX 2017 01 27.31949 03 26 09.116 +17 38 08.12 24.4w 15VP164 568 C~2lVX 2017 01 27.32464 03 26 09.107 +17 38 08.05 24.3w 15VP164 568 C~2lVX 2017 09 15.62735 03 44 28.306 +18 33 52.16 24.2w 15VP164 568 C~2lVX 2017 09 22.60498 03 44 13.071 +18 32 36.19 24.5w 15VP164 568 C~2lVX
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 0.20 0.00 -0.02
2 0.0000 -0.11 0.02 -0.07 -0.07
3 0.0627 -168.11 -0.23 -75.63 0.19
4 0.1369 -1494.18 -0.09 -159.21 0.01
5 0.2129 -3752.98 0.11 -229.52 -0.08
6 0.2131 -3758.95 -0.05 -229.70 -0.16
7 0.2133 -3765.31 0.11 -229.46 0.20
8 0.2161 -3858.01 -0.00 -231.81 0.02
9 0.2434 -4774.29 -0.03 -251.51 0.02
10 0.2435 -4778.88 -0.20 -251.49 0.11
11 0.2951 -6457.85 0.04 -280.70 -0.04
12 0.2954 -6468.53 0.22 -280.92 -0.16
13 0.2954 -6469.52 -0.15 -280.82 -0.04
14 0.3636 -8249.22 -0.05 -303.56 0.01
15 0.3828 -8603.51 0.10 -307.29 -0.01
16 0.3830 -8606.04 -0.02 -307.40 -0.10
17 1.1008 6584.72 0.03 -788.68 0.08
18 1.1417 5723.53 0.08 -836.10 -0.00
19 1.1419 5720.08 -0.02 -836.19 0.05
20 1.1908 4344.89 0.01 -885.20 -0.01
21 1.1908 4342.88 0.01 -885.19 0.04
22 1.1937 4254.26 -0.02 -887.76 -0.00
23 1.2048 3902.34 -0.00 -897.28 0.05
24 1.3465 -506.19 0.00 -968.60 0.02
25 1.3465 -506.99 0.01 -968.68 -0.05
26 1.4395 -1897.42 0.01 -972.27 0.03
27 1.4395 -1897.56 -0.06 -972.31 -0.00
28 2.0728 14143.23 -0.01 -1411.03 -0.05
29 2.0919 13914.04 -0.01 -1436.75 -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.
15VP164 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.640 39.668 39.612 ecceobj 0.260 0.261 0.259 incobj 5.282 5.282 5.282 qmin 29.038 29.010 28.901 qmax 50.517 50.423 50.795 amean 39.456 39.456 39.456 amin 38.973 38.980 38.906 amax 40.003 39.993 40.093 emean 0.228 0.229 0.252 emin 0.193 0.197 0.234 emax 0.264 0.262 0.269 imean 8.992 8.773 6.790 imin 6.141 6.141 6.141 imax 11.019 10.775 7.361 excite_mean 0.278 0.276 0.278 fracstop 1.000 1.000 1.000 cjmean 2.964 2.964 2.963 libcent 0 181.0 180.4 180.2 libamp 0 106.1 94.6 122.7 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 158.2 165.8 190.6 kozaiamp 180.0 180.0 180.0