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: 15KR174
# Created Fri Apr 19 01:17:27 2024
# Orbit generated from Bernstein formalism
# Fitting 24 observations of 24
# Arc: 2.09y
# First observation: 2015/02/23
# Last observation: 2017/03/28
Preliminary a, adot, b, bdot, g, gdot:
-0.000917 0.133637 0.002904 0.103964 0.078685 0.000000
# Chi-squared of fit: 3.58 DOF: 42 RMS: 0.07
# Min/Max residuals: -0.12 0.17
# Exact a, adot, b, bdot, g, gdot:
2.772347E-05 1.381461E-01 2.181118E-05 1.114244E-01 7.982638E-02 7.335171E-02
# Covariance matrix:
2.2186E-13 -8.5835E-14 -1.3408E-14 1.5278E-14 1.2984E-13 1.1884E-13
-8.5835E-14 1.0618E-12 -1.8635E-13 8.5579E-13 3.1331E-13 4.6391E-12
-1.3408E-14 -1.8635E-13 1.5306E-13 -2.9941E-13 -7.9173E-14 -1.0367E-12
1.5278E-14 8.5579E-13 -2.9941E-13 1.1078E-12 3.1278E-13 4.7645E-12
1.2984E-13 3.1331E-13 -7.9173E-14 3.1278E-13 2.5089E-13 1.7350E-12
1.1884E-13 4.6391E-12 -1.0367E-12 4.7645E-12 1.7350E-12 2.5825E-11
# lat0 lon0 xBary yBary zBary JD0
5.772775 -122.816588 0.978587 0.012640 -0.123764 2457077.136848
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 1.37953 +/- 0.001
Argument of Peri: 328.37189 +/- 0.002
Long of Asc Node: 225.56042 +/- 0.000
Inclination: 38.66014 +/- 0.000
Eccentricity: 0.87740824 +/- 0.0000
Semi-Major Axis: 91.77256367 +/- 0.0305
Time of Perihelion: 2455839.9601 +/- 0.0
Perihelion: 11.25056027 +/- 0.0054
Aphelion: 172.29456708 +/- 0.0574
Period (y) 879.1794 +/- 0.44
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -7.64727247 +/- 0.0000
Ecliptic Y -10.04838537 +/- 0.0001
Ecliptic Z 1.26031552 +/- 0.0000
Ecliptic XDOT 0.00283012 +/- 0.0000
Ecliptic YDOT -0.00435394 +/- 0.0000
Ecliptic ZDOT 0.00405534 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 12.69012293 +/- 0.0001
Geocenter to KBO 12.52718700 +/- 0.0001
# Hcoef: 12.87
The following table shows the complete astrometric record for 15KR174. 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 (15KR174) followed by the observatory code and reference code for the source of the astrometry.
2015 02 23.63607 15 45 01.463 -13 54 18.87 23.8r 15KR174 568 C~2lVK 2015 03 19.59543 15 45 16.071 -13 17 17.75 24.1r 15KR174 568 C~2lVK 2015 03 19.60407 15 45 16.052 -13 17 16.58 24.1r 15KR174 568 C~2lVK 2015 03 22.51769 15 45 05.702 -13 12 07.22 23.9r 15KR174 568 C~2lVK 2015 04 13.55184 15 42 33.610 -12 29 59.65 23.8r 15KR174 568 C~2lVK 2015 04 13.59295 15 42 33.202 -12 29 54.72 23.8r 15KR174 568 C~2lVK 2015 04 18.55634 15 41 43.630 -12 19 56.02 23.9r 15KR174 568 C~2lVK 2015 05 21.31829 15 35 03.283 -11 15 24.15 23.7r 15KR174 568 C~2lVK 2015 05 21.35947 15 35 02.741 -11 15 19.62 24.0r 15KR174 568 C~2lVK 2015 05 21.40058 15 35 02.199 -11 15 15.02 24.1r 15KR174 568 C~2lVK 2015 05 22.47722 15 34 48.344 -11 13 17.08 23.8r 15KR174 568 C~2lVK 2015 05 25.46768 15 34 10.216 -11 07 54.79 23.9r 15KR174 568 C~2lVK 2015 06 20.37343 15 29 18.527 -10 28 05.41 24.1r 15KR174 568 C~2lVK 2015 06 20.41439 15 29 18.133 -10 28 02.23 24.1r 15KR174 568 C~2lVK 2015 06 23.43462 15 28 51.162 -10 24 19.31 24.2r 15KR174 568 C~2lVK 2015 07 11.31733 15 26 54.130 -10 06 48.89 24.1r 15KR174 568 C~2lVK 2015 07 18.37775 15 26 30.340 -10 02 03.42 24.2r 15KR174 568 C~2lVK 2015 08 11.34850 15 26 54.717 -09 54 34.25 24.3r 15KR174 568 C~2lVK 2016 04 03.59163 16 19 44.819 -08 26 54.43 24.5w 15KR174 568 C~2lVK 2016 04 03.62006 16 19 44.657 -08 26 50.93 24.5w 15KR174 568 C~2lVK 2016 04 09.58510 16 19 08.310 -08 15 13.30 24.2w 15KR174 568 C~2lVK 2016 07 04.34273 16 03 48.577 -06 11 29.08 24.4w 15KR174 568 C~2lVK 2016 07 05.41508 16 03 40.157 -06 10 53.76 24.7w 15KR174 568 C~2lVK 2017 03 28.62637 16 50 10.821 -04 46 41.68 25.0w 15KR174 568 C~2lVK
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 -0.07 0.00 0.05
2 0.0656 -285.35 -0.10 2213.07 -0.12
3 0.0656 -285.88 -0.01 2214.15 0.17
4 0.0736 -501.90 -0.02 2482.30 0.05
5 0.1339 -3235.10 0.06 4450.39 0.09
6 0.1340 -3242.04 -0.02 4453.85 0.06
7 0.1476 -4084.83 -0.03 4874.36 -0.00
8 0.2373 -10705.24 0.09 7309.11 -0.12
9 0.2374 -10714.08 0.07 7311.68 -0.11
10 0.2375 -10722.93 0.03 7314.33 -0.03
11 0.2405 -10949.36 -0.05 7382.28 -0.03
12 0.2487 -11572.30 -0.00 7566.86 -0.05
13 0.3196 -16337.57 0.08 8895.02 0.01
14 0.3197 -16344.01 -0.00 8896.76 0.05
15 0.3280 -16786.77 0.02 9020.71 0.07
16 0.3770 -18731.58 -0.01 9638.41 -0.01
17 0.3963 -19145.16 0.01 9834.08 -0.12
18 0.4619 -18901.20 -0.08 10359.01 -0.05
19 1.1087 26199.62 0.12 25816.91 -0.03
20 1.1088 26196.54 0.05 25819.93 0.15
21 1.1251 25521.14 0.03 26408.40 0.02
22 1.3599 10385.77 -0.10 30942.16 -0.05
23 1.3628 10253.85 -0.01 30950.28 0.03
24 2.0917 52067.91 -0.04 45093.63 -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.
15KR174 quality flag:2 Type: CENTAURR CENTAURS CENTAURR axisobj 87.956 88.156 87.758 ecceobj 0.872 0.872 0.872 incobj 38.588 38.588 38.588 qmin 10.742 4.851 10.306 qmax 196.576 5260.511 457.085 amean 72.145 641.770 113.762 amin 57.302 81.285 68.764 amax 104.008 2636.121 234.178 emean 0.834 0.965 0.890 emin 0.784 0.862 0.839 emax 0.893 0.998 0.953 imean 40.677 38.702 40.300 imin 38.480 28.287 37.219 imax 45.580 59.428 45.844 excite_mean 1.059 1.150 1.101 fracstop 0.286 1.000 0.482 cjmean 1.706 1.438 1.581 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 111.5 67.3 104.8 kozaiamp 180.0 180.0 180.0