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: 15VD164 # Created Sat Apr 20 01:17:36 2024 # Orbit generated from Bernstein formalism # Fitting 29 observations of 29 # Arc: 2.27y # First observation: 2015/09/07 # Last observation: 2017/12/16 Preliminary a, adot, b, bdot, g, gdot: -0.000116 0.020578 -0.000003 -0.010886 0.023508 0.000000 # Chi-squared of fit: 7.78 DOF: 52 RMS: 0.09 # Min/Max residuals: -0.20 0.28 # Exact a, adot, b, bdot, g, gdot: 1.408891E-05 2.043628E-02 -7.130336E-06 -1.081852E-02 2.345685E-02 1.314168E-03 # Covariance matrix: 2.4263E-13 2.8107E-14 1.8482E-14 -7.9598E-14 1.9871E-13 3.3493E-12 2.8107E-14 2.6085E-13 4.0939E-14 -1.8260E-13 1.8827E-13 7.6425E-12 1.8482E-14 4.0939E-14 1.0606E-13 -1.0467E-13 4.0956E-14 1.7730E-12 -7.9598E-14 -1.8260E-13 -1.0467E-13 2.7246E-13 -1.7975E-13 -7.9229E-12 1.9871E-13 1.8827E-13 4.0956E-14 -1.7975E-13 3.0532E-13 7.5418E-12 3.3493E-12 7.6425E-12 1.7730E-12 -7.9229E-12 7.5418E-12 3.3151E-10 # lat0 lon0 xBary yBary zBary JD0 -0.722682 52.271776 0.935498 -0.004688 -0.383461 2457273.133899 # Heliocentric elements and errors Epoch: 2457270.5000 = 2015/09/05 Mean Anomaly: 28.20037 +/- 0.476 Argument of Peri: 149.21778 +/- 0.564 Long of Asc Node: 229.67739 +/- 0.000 Inclination: 27.91878 +/- 0.001 Eccentricity: 0.07000362 +/- 0.0005 Semi-Major Axis: 45.79208995 +/- 0.0047 Time of Perihelion: 2448404.3217 +/- 149.6 Perihelion: 42.58647811 +/- 0.0220 Aphelion: 48.99770179 +/- 0.0222 Period (y) 309.8803 +/- 0.05 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 27.05535322 +/- 0.0006 Ecliptic Y 33.44609006 +/- 0.0008 Ecliptic Z -0.53800102 +/- 0.0000 Ecliptic XDOT -0.00180434 +/- 0.0000 Ecliptic YDOT 0.00156189 +/- 0.0000 Ecliptic ZDOT -0.00126450 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 43.02234911 +/- 0.0007 Geocenter to KBO 42.63147179 +/- 0.0010 # Hcoef: 8.45
The following table shows the complete astrometric record for 15VD164. 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 (15VD164) followed by the observatory code and reference code for the source of the astrometry.
2015 09 07.63311 03 20 13.174 +17 38 19.33 24.9w 15VD164 568 C~2fCO 2015 09 12.49674 03 20 05.907 +17 37 16.32 24.8w 15VD164 568 C~2fCO 2015 10 07.54436 03 18 58.021 +17 29 58.20 25.0w 15VD164 568 C~2fCO 2015 10 07.60373 03 18 57.817 +17 29 56.80 25.2w 15VD164 568 C~2fCO 2015 10 09.58362 03 18 50.526 +17 29 15.34 25.1w 15VD164 568 C~2fCO 2015 11 07.33788 03 16 44.548 +17 17 55.96 24.4r 15VD164 568 C~2fCO 2015 11 07.38006 03 16 44.344 +17 17 54.73 24.8r 15VD164 568 C~2fCO 2015 11 07.42224 03 16 44.125 +17 17 53.75 24.9r 15VD164 568 C~2fCO 2015 11 10.50536 03 16 29.250 +17 16 36.23 24.8w 15VD164 568 C~2fCO 2015 11 17.35218 03 15 56.098 +17 13 44.05 25.0w 15VD164 568 C~2fCO 2015 11 17.39878 03 15 55.872 +17 13 42.91 25.1w 15VD164 568 C~2fCO 2015 12 06.36096 03 14 27.339 +17 06 02.78 25.0w 15VD164 568 C~2fCO 2015 12 06.49848 03 14 26.722 +17 05 59.66 25.2w 15VD164 568 C~2fCO 2016 01 01.34872 03 12 51.494 +16 57 21.80 24.4w 15VD164 568 C~2fCO 2016 01 07.41130 03 12 35.851 +16 55 48.36 25.3w 15VD164 568 C~2fCO 2016 01 07.42868 03 12 35.828 +16 55 48.39 25.7w 15VD164 568 C~2fCO 2016 01 08.25624 03 12 33.931 +16 55 36.27 25.0w 15VD164 568 C~2fCO 2016 02 05.28768 03 12 06.533 +16 51 28.71 24.9w 15VD164 568 C~2fCO 2016 09 26.58416 03 24 57.161 +17 14 57.87 25.4w 15VD164 568 C~2fCO 2016 11 02.51995 03 22 31.999 +17 01 24.97 15VD164 568 C~2fCO 2016 11 04.39506 03 22 23.135 +17 00 39.01 15VD164 568 C~2fCO 2016 12 24.33186 03 18 40.109 +16 41 46.49 25.2w 15VD164 568 C~2fCO 2017 01 02.43457 03 18 11.646 +16 39 14.96 24.9w 15VD164 568 C~2fCO 2017 01 27.28684 03 17 29.050 +16 34 46.37 24.9w 15VD164 568 C~2fCO 2017 09 15.58250 03 30 46.299 +16 59 16.13 15VD164 568 C~2fCO 2017 09 22.56874 03 30 31.667 +16 57 22.76 25.0w 15VD164 568 C~2fCO 2017 12 13.39528 03 24 47.827 +16 27 02.88 24.6w 15VD164 568 C~2fCO 2017 12 13.43255 03 24 47.663 +16 27 02.21 25.0w 15VD164 568 C~2fCO 2017 12 16.37785 03 24 35.566 +16 26 03.47 24.8w 15VD164 568 C~2fCO
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 -0.06 0.00 -0.03
2 0.0133 -116.54 -0.12 -34.38 -0.03
3 0.0819 -1167.25 -0.01 -209.05 0.00
4 0.0821 -1170.43 0.16 -209.65 -0.20
5 0.0875 -1281.89 -0.02 -222.90 0.11
6 0.1662 -3199.73 0.08 -413.09 0.07
7 0.1663 -3202.87 0.05 -413.52 -0.11
8 0.1664 -3206.15 -0.10 -413.65 0.01
9 0.1749 -3432.08 -0.08 -433.12 -0.04
10 0.1936 -3935.61 0.06 -475.67 -0.07
11 0.1937 -3939.03 0.12 -475.93 -0.06
12 0.2457 -5284.77 -0.05 -587.96 -0.01
13 0.2460 -5294.13 -0.07 -588.65 0.07
14 0.3168 -6749.40 -0.07 -728.21 0.06
15 0.3334 -6990.86 -0.08 -758.91 0.07
16 0.3335 -6991.17 0.25 -758.79 0.28
17 0.3357 -7020.66 -0.01 -763.27 -0.03
18 0.4125 -7466.05 -0.06 -897.76 0.07
19 1.0539 3579.07 0.16 -2382.18 -0.06
20 1.1551 1360.41 -0.13 -2646.76 -0.01
21 1.1602 1225.77 -0.05 -2659.11 -0.02
22 1.2969 -2159.29 -0.01 -2937.77 -0.03
23 1.3218 -2593.62 0.01 -2978.86 -0.03
24 1.3899 -3254.70 0.04 -3080.24 -0.07
25 2.0231 8204.30 0.12 -4527.83 -0.14
26 2.0423 7972.78 -0.12 -4586.94 -0.01
27 2.2663 2731.79 0.07 -5133.90 0.01
28 2.2664 2729.33 0.02 -5133.96 0.12
29 2.2745 2546.06 -0.11 -5147.33 0.05
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.
15VD164 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 46.229 46.247 46.211 ecceobj 0.079 0.081 0.078 incobj 27.808 27.808 27.808 qmin 41.940 41.894 41.946 qmax 50.071 50.142 50.002 amean 45.885 45.902 45.868 amin 45.519 45.551 45.509 amax 46.261 46.279 46.242 emean 0.072 0.073 0.070 emin 0.061 0.062 0.060 emax 0.083 0.084 0.081 imean 28.878 28.879 28.877 imin 28.649 28.642 28.656 imax 29.081 29.083 29.082 excite_mean 0.488 0.488 0.488 fracstop 1.000 1.000 1.000 cjmean 2.812 2.812 2.812 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 178.9 178.6 178.8 kozaiamp 179.9 179.9 179.9