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: 15VD167
# Created Sun Dec 22 02:10:34 2024
# Orbit generated from Bernstein formalism
# Fitting 25 observations of 25
# Arc: 2.04y
# First observation: 2015/09/07
# Last observation: 2017/09/22
Preliminary a, adot, b, bdot, g, gdot:
-0.000206 0.030363 0.000041 0.008861 0.027389 0.000000
# Chi-squared of fit: 6.89 DOF: 44 RMS: 0.09
# Min/Max residuals: -0.35 0.33
# Exact a, adot, b, bdot, g, gdot:
1.758504E-05 3.049081E-02 5.217711E-06 8.967000E-03 2.753928E-02 9.204553E-03
# Covariance matrix:
2.4049E-13 -2.1509E-14 -6.3511E-15 3.1482E-14 1.8030E-13 1.8285E-12
-2.1509E-14 6.6825E-13 -3.9398E-14 2.0108E-13 2.8704E-13 1.1605E-11
-6.3511E-15 -3.9398E-14 1.0988E-13 -9.5925E-14 -2.3484E-14 -8.6492E-13
3.1482E-14 2.0108E-13 -9.5925E-14 2.1095E-13 1.1877E-13 4.4105E-12
1.8030E-13 2.8704E-13 -2.3484E-14 1.1877E-13 3.2772E-13 6.8678E-12
1.8285E-12 1.1605E-11 -8.6492E-13 4.4105E-12 6.8678E-12 2.5458E-10
# lat0 lon0 xBary yBary zBary JD0
0.079220 54.749554 0.951431 0.000620 -0.342100 2457273.097159
# Heliocentric elements and errors
Epoch: 2457270.5000 = 2015/09/05
Mean Anomaly: 21.52602 +/- 0.020
Argument of Peri: 307.93098 +/- 0.049
Long of Asc Node: 52.99795 +/- 0.000
Inclination: 16.28815 +/- 0.001
Eccentricity: 0.41297934 +/- 0.0005
Semi-Major Axis: 55.35299674 +/- 0.0295
Time of Perihelion: 2448276.1152 +/- 4.3
Perihelion: 32.49335269 +/- 0.0333
Aphelion: 78.21264079 +/- 0.0504
Period (y) 411.8318 +/- 0.33
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 21.92769823 +/- 0.0004
Ecliptic Y 29.38349921 +/- 0.0006
Ecliptic Z 0.05040582 +/- 0.0000
Ecliptic XDOT -0.00194989 +/- 0.0000
Ecliptic YDOT 0.00248937 +/- 0.0000
Ecliptic ZDOT 0.00089278 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.66355842 +/- 0.0006
Geocenter to KBO 36.31177445 +/- 0.0008
# Hcoef: 9.07
The following table shows the complete astrometric record for 15VD167. 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 (15VD167) followed by the observatory code and reference code for the source of the astrometry.
2015 09 07.59637 03 29 29.373 +19 01 57.74 25.2w 15VD167 568 C~2lVh 2015 09 12.44325 03 29 22.128 +19 01 57.92 24.8w 15VD167 568 C~2lVh 2015 10 07.49180 03 28 07.524 +18 59 47.19 25.2w 15VD167 568 C~2lVh 2015 10 07.55020 03 28 07.260 +18 59 46.73 24.6w 15VD167 568 C~2lVh 2015 10 09.53094 03 27 59.016 +18 59 27.80 25.1w 15VD167 568 C~2lVh 2015 11 06.30734 03 25 38.421 +18 53 30.33 24.5r 15VD167 568 C~2lVh 2015 11 06.37060 03 25 38.059 +18 53 29.39 24.6r 15VD167 568 C~2lVh 2015 11 06.44142 03 25 37.657 +18 53 28.46 24.6r 15VD167 568 C~2lVh 2015 11 07.46098 03 25 31.899 +18 53 12.86 24.9w 15VD167 568 C~2lVh 2015 11 17.44217 03 24 34.837 +18 50 37.96 24.7w 15VD167 568 C~2lVh 2015 11 17.48946 03 24 34.557 +18 50 37.19 24.8w 15VD167 568 C~2lVh 2015 12 06.30809 03 22 49.615 +18 45 49.64 25.0w 15VD167 568 C~2lVh 2015 12 06.43481 03 22 48.956 +18 45 47.52 25.4w 15VD167 568 C~2lVh 2015 12 31.32982 03 20 56.231 +18 40 54.47 24.9w 15VD167 568 C~2lVh 2016 01 07.35914 03 20 33.288 +18 40 03.21 24.9w 15VD167 568 C~2lVh 2016 02 05.30505 03 19 53.255 +18 39 51.08 25.6w 15VD167 568 C~2lVh 2016 02 11.25843 03 19 56.753 +18 40 31.61 25.0w 15VD167 568 C~2lVh 2016 09 25.62935 03 35 27.596 +19 56 03.72 25.1w 15VD167 568 C~2lVh 2016 10 10.56895 03 34 32.993 +19 54 26.26 25.0w 15VD167 568 C~2lVh 2016 10 10.61736 03 34 32.780 +19 54 25.86 25.2w 15VD167 568 C~2lVh 2016 12 24.36580 03 28 01.239 +19 38 02.98 24.8w 15VD167 568 C~2lVh 2017 01 27.32921 03 26 30.573 +19 34 54.77 25.0w 15VD167 568 C~2lVh 2017 09 16.58439 03 42 26.561 +20 49 10.46 24.8w 15VD167 568 C~2lVh 2017 09 17.58740 03 42 24.589 +20 49 10.83 24.7w 15VD167 568 C~2lVh 2017 09 22.61102 03 42 13.161 +20 49 07.44 24.9w 15VD167 568 C~2lVh
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 -0.02 0.00 -0.01
2 0.0133 -99.61 -0.06 25.13 -0.03
3 0.0818 -1157.56 0.10 156.37 -0.06
4 0.0820 -1161.30 -0.15 156.84 0.08
5 0.0874 -1279.31 0.06 167.12 -0.06
6 0.1635 -3300.87 -0.06 312.48 -0.01
7 0.1637 -3306.08 -0.07 312.85 -0.01
8 0.1638 -3311.84 0.02 313.36 0.10
9 0.1666 -3394.89 -0.01 318.54 -0.03
10 0.1940 -4218.19 -0.01 370.17 0.04
11 0.1941 -4222.23 -0.07 370.42 0.04
12 0.2456 -5737.73 -0.04 465.82 0.02
13 0.2460 -5747.33 0.21 466.13 -0.35
14 0.3141 -7372.40 -0.03 588.35 -0.04
15 0.3334 -7701.17 0.05 621.89 0.04
16 0.4126 -8255.14 0.10 755.66 0.33
17 0.4289 -8196.62 -0.05 782.14 0.08
18 1.0514 5695.52 0.12 1943.70 -0.08
19 1.0923 4923.61 0.05 2029.92 -0.02
20 1.0925 4920.59 0.03 2030.24 0.02
21 1.2971 -681.77 -0.02 2404.21 -0.06
22 1.3901 -1969.98 -0.10 2536.96 0.05
23 2.0260 12174.21 0.03 3698.66 -0.01
24 2.0287 12147.25 -0.00 3705.22 0.00
25 2.0425 11989.80 -0.07 3737.83 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.
15VD167 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE Type: 5:2EII 5:2EII axisobj 56.312 56.409 56.215 ecceobj 0.423 0.425 0.422 incobj 16.241 16.241 16.242 qmin 31.680 31.631 31.764 qmax 80.360 80.698 80.271 amean 55.461 55.462 55.461 amin 54.782 54.710 54.826 amax 56.376 56.421 56.285 emean 0.415 0.413 0.415 emin 0.402 0.395 0.404 emax 0.428 0.431 0.427 imean 15.174 15.527 15.124 imin 14.764 14.651 14.846 imax 15.838 16.432 15.508 excite_mean 0.491 0.492 0.491 fracstop 1.000 1.000 1.000 cjmean 2.926 2.925 2.926 libcent 0 179.5 180.4 179.4 libamp 0 61.3 96.0 41.7 libcent 1 190.5 -180.0 178.0 libamp 1 168.1 -180.0 138.4 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 152.3 134.2 164.5 kozaiamp 180.0 180.0 180.0