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: 15VF164 # Created Fri Nov 22 02:10:31 2024 # Orbit generated from Bernstein formalism # Fitting 24 observations of 24 # Arc: 4.45y # First observation: 2015/09/07 # Last observation: 2020/02/18 Preliminary a, adot, b, bdot, g, gdot: -0.005832 0.186510 0.000666 -0.018652 0.079741 0.000000 # Chi-squared of fit: 3.97 DOF: 42 RMS: 0.07 # Min/Max residuals: -0.24 0.15 # Exact a, adot, b, bdot, g, gdot: 3.379974E-05 1.634932E-01 -3.388825E-06 -1.606133E-02 7.740859E-02 -1.253628E-02 # Covariance matrix: 2.9574E-13 -1.7541E-13 -5.8802E-15 2.2336E-14 1.7209E-13 -2.8957E-13 -1.7541E-13 5.3821E-13 2.0158E-14 -6.0752E-14 3.7420E-14 7.1975E-13 -5.8802E-15 2.0158E-14 7.9926E-14 -2.9862E-14 1.4837E-15 2.8592E-14 2.2336E-14 -6.0752E-14 -2.9862E-14 3.8151E-14 3.9595E-16 -8.8291E-14 1.7209E-13 3.7420E-14 1.4837E-15 3.9595E-16 1.9581E-13 -3.1004E-14 -2.8957E-13 7.1975E-13 2.8592E-14 -8.8291E-14 -3.1004E-14 1.0575E-12 # lat0 lon0 xBary yBary zBary JD0 -0.629779 52.200155 0.935018 -0.004079 -0.384637 2457273.133899 # Heliocentric elements and errors Epoch: 2457270.5000 = 2015/09/05 Mean Anomaly: 353.88462 +/- 0.001 Argument of Peri: 210.17028 +/- 0.002 Long of Asc Node: 222.09802 +/- 0.000 Inclination: 5.73138 +/- 0.000 Eccentricity: 0.54338958 +/- 0.0000 Semi-Major Axis: 28.30778303 +/- 0.0018 Time of Perihelion: 2458204.9977 +/- 0.1 Perihelion: 12.92562873 +/- 0.0011 Aphelion: 43.68993734 +/- 0.0028 Period (y) 150.6146 +/- 0.01 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 8.88796154 +/- 0.0000 Ecliptic Y 9.93749084 +/- 0.0001 Ecliptic Z -0.14202959 +/- 0.0000 Ecliptic XDOT -0.00484656 +/- 0.0000 Ecliptic YDOT 0.00318248 +/- 0.0000 Ecliptic ZDOT -0.00056311 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 13.33303255 +/- 0.0001 Geocenter to KBO 12.91846348 +/- 0.0001 # Hcoef: 12.91
The following table shows the complete astrometric record for 15VF164. 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 (15VF164) followed by the observatory code and reference code for the source of the astrometry.
2015 09 07.63311 03 19 49.751 +17 42 36.75 24.5w 15VF164 568 C~2jiD 2015 09 12.49674 03 19 42.538 +17 41 09.74 24.5w 15VF164 568 C~2jiD 2015 10 07.54436 03 17 22.450 +17 27 10.44 24.5w 15VF164 568 C~2jiD 2015 10 07.60373 03 17 21.922 +17 27 07.68 24.5w 15VF164 568 C~2jiD 2015 11 07.35903 03 11 36.975 +16 58 54.45 24.0r 15VF164 568 C~2jiD 2015 11 07.40112 03 11 36.426 +16 58 51.84 23.9r 15VF164 568 C~2jiD 2015 11 07.44330 03 11 35.871 +16 58 49.33 23.9r 15VF164 568 C~2jiD 2015 11 10.52886 03 10 56.150 +16 55 39.65 24.2w 15VF164 568 C~2jiD 2015 11 17.37547 03 09 27.849 +16 48 39.03 24.0w 15VF164 568 C~2jiD 2015 11 17.42215 03 09 27.253 +16 48 36.24 24.1w 15VF164 568 C~2jiD 2015 12 06.40182 03 05 37.143 +16 30 15.68 24.4w 15VF164 568 C~2jiD 2015 12 13.33636 03 04 24.753 +16 24 24.60 24.3w 15VF164 568 C~2jiD 2015 12 13.39494 03 04 24.165 +16 24 21.73 24.4w 15VF164 568 C~2jiD 2016 01 01.39556 03 01 58.929 +16 12 11.67 24.5w 15VF164 568 C~2jiD 2016 01 07.34177 03 01 32.613 +16 09 47.02 24.3w 15VF164 568 C~2jiD 2016 02 04.27190 03 01 50.913 +16 08 43.93 24.5w 15VF164 568 C~2jiD 2016 02 10.26162 03 02 26.038 +16 10 43.52 24.2w 15VF164 568 C~2jiD 2016 10 28.42985 03 55 12.340 +18 32 35.91 15VF164 568 C~2jiD 2016 10 28.45307 03 55 12.064 +18 32 34.80 15VF164 568 C~2jiD 2016 10 29.50306 03 55 00.026 +18 31 44.68 15VF164 568 C~2jiD 2016 11 02.55644 03 54 11.996 +18 28 27.08 15VF164 568 C~2jiD 2016 12 24.37158 03 43 27.170 +17 47 18.64 24.4w 15VF164 568 C~2jiD 2020 02 18.124990 05 44 22.317 +18 57 17.42 25.0G 15VF164 G37 C~3jl6 2020 02 18.186050 05 44 22.127 +18 57 17.94 15VF164 G37 C~3jl6
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 0.02 2 0.0133 -121.91 0.10 -57.72 0.00 3 0.0819 -2273.89 -0.06 -352.72 -0.03 4 0.0821 -2281.90 -0.01 -353.43 -0.09 5 0.1663 -7498.68 0.04 -689.25 0.08 6 0.1664 -7506.98 0.05 -689.67 0.03 7 0.1665 -7515.33 0.04 -689.97 0.10 8 0.1749 -8116.06 -0.01 -720.86 -0.16 9 0.1937 -9452.38 -0.24 -786.59 -0.05 10 0.1938 -9461.39 0.02 -786.97 -0.06 11 0.2458 -12953.15 0.11 -950.07 0.06 12 0.2648 -14055.60 -0.02 -1002.39 0.15 13 0.2649 -14064.57 0.00 -1002.82 0.09 14 0.3169 -16287.87 0.00 -1127.26 0.02 15 0.3332 -16694.84 0.05 -1160.98 -0.02 16 0.4097 -16457.63 0.08 -1295.30 -0.01 17 0.4261 -15935.07 -0.08 -1320.84 -0.01 18 1.1411 30342.41 0.04 -4156.95 -0.06 19 1.1412 30338.25 -0.04 -4157.21 -0.06 20 1.1441 30156.51 0.05 -4170.27 -0.03 21 1.1552 29432.15 0.00 -4219.48 0.02 22 1.2970 19784.50 -0.07 -4615.22 0.00 23 4.4476 139484.53 0.05 -17030.11 0.11 24 4.4478 139480.62 -0.05 -17029.22 -0.09
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.
15VF164 quality flag:3 Type: CENTAURR CENTAURR CENTAURR axisobj 28.547 28.551 28.542 ecceobj 0.545 0.545 0.545 incobj 5.703 5.703 5.703 qmin 12.791 12.236 12.680 qmax 44.117 44.679 45.034 amean 28.039 27.975 28.278 amin 27.582 27.266 27.567 amax 28.547 28.773 29.129 emean 0.540 0.548 0.539 emin 0.530 0.530 0.529 emax 0.548 0.564 0.546 imean 6.845 7.165 7.818 imin 6.528 6.234 6.528 imax 7.130 7.730 8.705 excite_mean 0.553 0.562 0.556 fracstop 0.002 0.010 0.006 cjmean 2.689 2.678 2.684 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 221.1 267.7 236.0 kozaiamp 11.7 51.1 25.6