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: 15VZ164 # Created Fri Nov 22 02:10:31 2024 # Orbit generated from Bernstein formalism # Fitting 26 observations of 26 # Arc: 1.95y # First observation: 2015/10/09 # Last observation: 2017/09/20 Preliminary a, adot, b, bdot, g, gdot: -0.000112 0.030836 0.000000 -0.000854 0.028330 0.000000 # Chi-squared of fit: 5.60 DOF: 46 RMS: 0.08 # Min/Max residuals: -0.29 0.27 # Exact a, adot, b, bdot, g, gdot: 1.716535E-05 3.063271E-02 -5.047763E-07 -8.505593E-04 2.847549E-02 -5.740477E-03 # Covariance matrix: 2.5412E-13 -1.0853E-13 3.7523E-16 -2.0746E-15 1.8470E-13 1.2221E-12 -1.0853E-13 5.7926E-13 2.4582E-15 -1.3139E-14 1.4986E-13 9.2220E-12 3.7523E-16 2.4582E-15 1.1192E-13 -9.6479E-14 1.4906E-15 5.9718E-14 -2.0746E-15 -1.3139E-14 -9.6479E-14 1.6759E-13 -8.0592E-15 -3.1992E-13 1.8470E-13 1.4986E-13 1.4906E-15 -8.0592E-15 3.0660E-13 5.3446E-12 1.2221E-12 9.2220E-12 5.9718E-14 -3.1992E-13 5.3446E-12 2.2208E-10 # lat0 lon0 xBary yBary zBary JD0 -0.723034 53.306679 0.611700 -0.009853 -0.794428 2457305.061079 # Heliocentric elements and errors Epoch: 2457300.5000 = 2015/10/05 Mean Anomaly: 305.47212 +/- 0.022 Argument of Peri: 282.07892 +/- 0.037 Long of Asc Node: 208.59023 +/- 0.010 Inclination: 1.75542 +/- 0.001 Eccentricity: 0.22106936 +/- 0.0005 Semi-Major Axis: 39.44945781 +/- 0.0095 Time of Perihelion: 2471008.5634 +/- 2.6 Perihelion: 30.72839140 +/- 0.0210 Aphelion: 48.17052423 +/- 0.0228 Period (y) 247.7820 +/- 0.09 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 21.94350536 +/- 0.0004 Ecliptic Y 28.42796246 +/- 0.0005 Ecliptic Z -0.44318474 +/- 0.0000 Ecliptic XDOT -0.00269368 +/- 0.0000 Ecliptic YDOT 0.00130999 +/- 0.0000 Ecliptic ZDOT -0.00007476 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.91466121 +/- 0.0005 Geocenter to KBO 35.11791832 +/- 0.0007 # Hcoef: 8.50
The following table shows the complete astrometric record for 15VZ164. 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 (15VZ164) followed by the observatory code and reference code for the source of the astrometry.
2015 10 09.56029 03 24 25.538 +17 53 59.14 24.2w 15VZ164 568 C~2lVZ 2015 11 06.33360 03 22 03.343 +17 44 43.77 24.1r 15VZ164 568 C~2lVZ 2015 11 06.39716 03 22 02.959 +17 44 42.41 23.8r 15VZ164 568 C~2lVZ 2015 11 06.40423 03 22 02.927 +17 44 42.22 24.0r 15VZ164 568 C~2lVZ 2015 11 06.47375 03 22 02.523 +17 44 40.74 24.0r 15VZ164 568 C~2lVZ 2015 11 07.49015 03 21 56.740 +17 44 18.41 24.1w 15VZ164 568 C~2lVZ 2015 11 17.47136 03 20 59.300 +17 40 37.59 24.0w 15VZ164 568 C~2lVZ 2015 11 17.55969 03 20 58.783 +17 40 35.72 24.2w 15VZ164 568 C~2lVZ 2015 12 06.33759 03 19 13.846 +17 33 55.04 24.2w 15VZ164 568 C~2lVZ 2015 12 06.47504 03 19 13.104 +17 33 52.14 24.6w 15VZ164 568 C~2lVZ 2015 12 31.35875 03 17 21.399 +17 26 52.29 24.3w 15VZ164 568 C~2lVZ 2016 01 07.38812 03 16 58.980 +17 25 30.20 24.4w 15VZ164 568 C~2lVZ 2016 01 07.42286 03 16 58.917 +17 25 29.56 24.6w 15VZ164 568 C~2lVZ 2016 01 08.24465 03 16 56.624 +17 25 21.36 24.4w 15VZ164 568 C~2lVZ 2016 02 04.37827 03 16 22.169 +17 23 28.34 24.2w 15VZ164 568 C~2lVZ 2016 02 11.24103 03 16 26.919 +17 23 52.33 24.3w 15VZ164 568 C~2lVZ 2016 09 07.61412 03 33 07.106 +18 22 57.41 24.4w 15VZ164 568 C~2lVZ 2016 09 27.53935 03 32 22.464 +18 19 48.17 24.4w 15VZ164 568 C~2lVZ 2016 10 09.53365 03 31 37.135 +18 16 51.66 23.5w 15VZ164 568 C~2lVZ 2016 10 09.60571 03 31 36.817 +18 16 50.39 24.5w 15VZ164 568 C~2lVZ 2016 11 02.47946 03 29 36.561 +18 09 17.89 24.2w 15VZ164 568 C~2lVZ 2016 11 04.45547 03 29 25.413 +18 08 36.47 24.2w 15VZ164 568 C~2lVZ 2016 12 24.34518 03 24 55.507 +17 52 11.12 24.2w 15VZ164 568 C~2lVZ 2017 01 27.31949 03 23 26.765 +17 47 07.12 24.2w 15VZ164 568 C~2lVZ 2017 09 15.55809 03 40 12.936 +18 43 56.66 24.2w 15VZ164 568 C~2lVZ 2017 09 20.60688 03 40 02.273 +18 43 12.34 24.4w 15VZ164 568 C~2lVZ
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 -0.03 0.00 0.01
2 0.0760 -2105.04 0.13 -27.25 -0.05
3 0.0762 -2110.69 -0.11 -27.18 0.03
4 0.0762 -2111.18 0.01 -27.25 -0.04
5 0.0764 -2117.14 -0.01 -27.22 0.01
6 0.0792 -2202.73 0.04 -27.93 -0.02
7 0.1065 -3052.81 0.06 -33.38 -0.00
8 0.1068 -3060.44 0.09 -33.31 0.10
9 0.1582 -4613.76 0.02 -37.66 -0.01
10 0.1586 -4624.77 -0.05 -37.74 -0.13
11 0.2267 -6278.12 -0.05 -31.70 0.05
12 0.2459 -6609.59 -0.29 -27.86 0.27
13 0.2460 -6610.63 0.17 -28.25 -0.13
14 0.2483 -6644.49 0.06 -27.66 0.03
15 0.3226 -7150.64 -0.08 -8.71 -0.10
16 0.3414 -7078.66 0.06 -3.22 -0.02
17 0.9146 7637.47 -0.01 -128.99 0.03
18 0.9691 6974.27 -0.06 -160.99 -0.03
19 1.0020 6304.56 0.01 -177.53 0.06
20 1.0022 6299.85 -0.04 -177.68 -0.00
21 1.0675 4526.63 -0.01 -202.68 -0.01
22 1.0730 4362.35 -0.02 -204.23 -0.05
23 1.2095 387.34 0.13 -211.32 -0.02
24 1.3026 -915.64 -0.04 -188.75 0.05
25 1.9357 13836.62 -0.01 -319.24 -0.02
26 1.9495 13678.32 0.03 -327.73 -0.00
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.
15VZ164 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.770 39.790 39.750 ecceobj 0.219 0.220 0.218 incobj 1.746 1.746 1.746 qmin 30.270 30.205 30.285 qmax 49.177 49.026 49.121 amean 39.455 39.455 39.456 amin 39.065 39.065 39.066 amax 39.894 39.901 39.903 emean 0.215 0.216 0.214 emin 0.199 0.199 0.198 emax 0.233 0.232 0.232 imean 2.792 2.821 2.806 imin 2.372 2.353 2.372 imax 3.570 3.719 3.470 excite_mean 0.221 0.221 0.220 fracstop 1.000 1.000 1.000 cjmean 2.996 2.996 2.996 libcent 0 180.0 180.5 180.2 libamp 0 50.6 56.5 48.5 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 169.3 171.3 168.1 kozaiamp 179.9 180.0 180.0