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: 15GK54 # Created Fri Nov 22 02:10:18 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 42 observations of 42 # Arc: 9.06y # First observation: 2013/03/16 # Last observation: 2022/04/08 # Chi-squared of fit: 25.02 DOF: 78 RMS: 0.14 # Min/Max residuals: -0.41 0.58 # Exact a, adot, b, bdot, g, gdot: 1.606092E-05 3.444295E-02 8.271811E-06 2.017552E-02 3.305290E-02 -9.257358E-03 # Covariance matrix: 2.1167E-13 -8.3637E-14 6.2073E-14 -3.8253E-14 9.9356E-15 -1.7045E-13 -8.3637E-14 6.1179E-14 -5.2473E-14 3.2456E-14 5.1127E-14 1.4512E-13 6.2073E-14 -5.2473E-14 1.4554E-13 -5.2068E-14 -4.7764E-14 -1.4052E-13 -3.8253E-14 3.2456E-14 -5.2068E-14 2.6411E-14 2.9767E-14 8.6908E-14 9.9356E-15 5.1127E-14 -4.7764E-14 2.9767E-14 1.5821E-13 1.3402E-13 -1.7045E-13 1.4512E-13 -1.4052E-13 8.6908E-14 1.3402E-13 3.8855E-13 # lat0 lon0 xBary yBary zBary JD0 -2.587398 -158.708874 0.428692 -0.040490 -0.897543 2456367.754448 # Heliocentric elements and errors Epoch: 2456368.5000 = 2013/03/17 Mean Anomaly: 325.62071 +/- 0.004 Argument of Peri: 57.69710 +/- 0.005 Long of Asc Node: 204.76059 +/- 0.000 Inclination: 30.55929 +/- 0.000 Eccentricity: 0.31183826 +/- 0.0000 Semi-Major Axis: 39.45434626 +/- 0.0025 Time of Perihelion: 2465012.9057 +/- 7.7 Perihelion: 27.15097151 +/- 0.0021 Aphelion: 51.75772102 +/- 0.0035 Period (y) 247.8281 +/- 0.02 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -29.15264683 +/- 0.0003 Ecliptic Y -10.89916261 +/- 0.0001 Ecliptic Z -1.36555565 +/- 0.0000 Ecliptic XDOT 0.00167312 +/- 0.0000 Ecliptic YDOT -0.00240691 +/- 0.0000 Ecliptic ZDOT 0.00170424 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 31.15352240 +/- 0.0003 Geocenter to KBO 30.25469545 +/- 0.0004 # Hcoef: 8.61
The following table shows the complete astrometric record for 15GK54. 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 (15GK54) followed by the observatory code and reference code for the source of the astrometry.
2013 03 16.25367 13 14 45.18 -10 42 08.8 23.7r 15GK54 W84 C~3jdt 2013 03 16.25367 13 14 45.215 -10 42 08.38 23.5r 15GK54 807 C~3jdt 2013 03 16.30082 13 14 44.94 -10 42 06.8 15GK54 W84 C~3jdt 2013 03 16.30082 13 14 44.992 -10 42 06.51 15GK54 807 C~3jdt 2013 03 16.35904 13 14 44.660 -10 42 04.15 15GK54 807 C~3jdt 2013 03 16.35905 13 14 44.63 -10 42 04.5 15GK54 W84 C~3jdt 2015 04 11.41445 13 31 06.642 -09 41 01.43 23.2r 15GK54 568 C~2lV7 2015 04 12.36711 13 31 00.993 -09 40 16.37 23.5r 15GK54 568 C~2lV7 2015 04 12.40803 13 31 00.739 -09 40 14.42 23.2r 15GK54 568 C~2lV7 2015 04 12.45503 13 31 00.451 -09 40 12.09 23.5r 15GK54 568 C~2lV7 2015 04 14.46499 13 30 48.479 -09 38 36.63 23.1r 15GK54 568 C~2lV7 2015 04 18.42564 13 30 24.887 -09 35 28.18 23.3r 15GK54 568 C~2lV7 2015 04 18.47335 13 30 24.604 -09 35 25.87 23.4r 15GK54 568 C~2lV7 2015 04 19.27327 13 30 19.86 -09 34 47.5 15GK54 W84 C~2zsP 2015 04 21.27425 13 30 07.98 -09 33 12.5 24.1V 15GK54 W84 C~2zsP 2015 04 22.27395 13 30 02.10 -09 32 25.4 15GK54 W84 C~2zsP 2015 05 25.37637 13 27 09.687 -09 08 29.72 23.6r 15GK54 568 C~2lV7 2015 05 25.43418 13 27 09.434 -09 08 27.52 23.6r 15GK54 568 C~2lV7 2015 06 21.32593 13 25 52.684 -08 55 15.89 23.5r 15GK54 568 C~2lV7 2015 06 22.28249 13 25 51.379 -08 54 56.20 23.7r 15GK54 568 C~2lV7 2015 07 12.27649 13 25 48.560 -08 50 33.65 23.5r 15GK54 568 C~2lV7 2015 07 15.26670 13 25 52.255 -08 50 19.34 23.4r 15GK54 568 C~2lV7 2015 07 19.26636 13 25 58.867 -08 50 09.85 23.5r 15GK54 568 C~2lV7 2016 02 04.61430 13 45 02.116 -09 57 57.63 23.7w 15GK54 568 C~2lV7 2016 02 11.59752 13 44 55.181 -09 55 37.69 23.5w 15GK54 568 C~2lV7 2016 03 11.60487 13 43 26.716 -09 40 20.19 23.4w 15GK54 568 C~2lV7 2016 04 03.47362 13 41 27.114 -09 23 41.98 23.4w 15GK54 568 C~2lV7 2016 04 03.47768 13 41 27.091 -09 23 41.80 23.5w 15GK54 568 C~2lV7 2016 04 09.45477 13 40 51.942 -09 19 00.95 23.5w 15GK54 568 C~2lV7 2016 04 09.45883 13 40 51.912 -09 19 00.76 23.4w 15GK54 568 C~2lV7 2016 05 01.46556 13 38 41.098 -09 01 48.45 23.7w 15GK54 568 C~2lV7 2016 05 02.33963 13 38 36.104 -09 01 08.71 23.6w 15GK54 568 C~2lV7 2016 05 07.34298 13 38 07.964 -08 57 25.80 23.5w 15GK54 568 C~2lV7 2016 05 29.32744 13 36 21.801 -08 42 58.41 23.6w 15GK54 568 C~2lV7 2016 06 04.38987 13 35 59.209 -08 39 41.21 23.8w 15GK54 568 C~2lV7 2016 06 27.32010 13 35 08.053 -08 30 45.11 23.7w 15GK54 568 C~2lV7 2016 06 27.32513 13 35 08.047 -08 30 45.04 23.7w 15GK54 568 C~2lV7 2016 07 07.31590 13 35 04.550 -08 28 44.97 23.5w 15GK54 568 C~2lV7 2017 06 25.27772 13 44 43.641 -08 07 33.35 23.5w 15GK54 568 C~2lV7 2022 04 08.361880 14 42 00.665 -06 32 44.26 23.1G 15GK54 G37 C~5ZbH 2022 04 08.400800 14 42 00.408 -06 32 42.20 15GK54 G37 C~5ZbH 2022 04 08.440230 14 42 00.229 -06 32 40.29 15GK54 G37 C~5ZbH
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 0.19 0.00 0.23
2 0.0000 0.00 -0.33 0.00 -0.19
3 0.0001 0.00 -0.20 0.00 -0.11
4 0.0001 0.00 0.58 0.00 0.18
5 0.0003 0.00 0.21 0.00 0.15
6 0.0003 0.00 -0.24 0.00 -0.20
7 2.0703 0.00 -0.16 0.00 0.07
8 2.0729 0.00 0.01 0.00 -0.07
9 2.0730 0.00 -0.08 0.00 -0.06
10 2.0731 0.00 -0.12 0.00 0.04
11 2.0786 0.00 -0.10 0.00 -0.03
12 2.0895 0.00 -0.13 0.00 -0.01
13 2.0896 0.00 -0.03 0.00 0.03
14 2.0918 0.00 0.17 0.00 0.13
15 2.0973 0.00 -0.11 0.00 0.17
16 2.1000 0.00 0.25 0.00 -0.07
17 2.1906 0.00 -0.03 0.00 -0.04
18 2.1908 0.00 -0.14 0.00 0.01
19 2.2644 0.00 -0.03 0.00 -0.05
20 2.2670 0.00 -0.00 0.00 -0.00
21 2.3218 0.00 -0.10 0.00 0.03
22 2.3299 0.00 0.01 0.00 -0.19
23 2.3409 0.00 -0.08 0.00 -0.03
24 2.8894 0.00 -0.00 0.00 0.04
25 2.9085 0.00 0.02 0.00 0.01
26 2.9880 0.00 -0.05 0.00 -0.05
27 3.0506 0.00 0.04 0.00 0.03
28 3.0506 0.00 0.06 0.00 0.02
29 3.0669 0.00 0.08 0.00 -0.02
30 3.0670 0.00 -0.01 0.00 -0.03
31 3.1272 0.00 -0.09 0.00 -0.08
32 3.1296 0.00 0.03 0.00 0.04
33 3.1433 0.00 0.05 0.00 0.03
34 3.2035 0.00 -0.00 0.00 0.08
35 3.2201 0.00 0.02 0.00 0.04
36 3.2829 0.00 -0.04 0.00 -0.04
37 3.2829 0.00 -0.05 0.00 -0.05
38 3.3102 0.00 0.01 0.00 -0.02
39 4.2766 0.00 0.23 0.00 0.09
40 9.0626 0.00 0.12 0.00 -0.12
41 9.0627 0.00 -0.41 0.00 0.06
42 9.0628 0.00 0.28 0.00 0.06
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.
15GK54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.325 39.324 39.325 ecceobj 0.311 0.311 0.311 incobj 30.607 30.607 30.607 qmin 26.080 26.115 26.077 qmax 53.442 53.431 53.436 amean 39.455 39.454 39.455 amin 38.994 38.996 38.996 amax 40.026 40.024 40.030 emean 0.274 0.272 0.273 emin 0.182 0.182 0.182 emax 0.338 0.338 0.338 imean 31.903 31.968 31.918 imin 30.178 30.214 30.176 imax 33.965 33.950 33.966 excite_mean 0.597 0.597 0.597 fracstop 1.000 1.000 1.000 cjmean 2.630 2.630 2.630 libcent 0 180.2 181.5 181.4 libamp 0 101.8 105.5 102.3 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 87.6 87.4 87.4 kozaiamp 56.8 58.0 57.3