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: 15GT50
# Created Sun Nov 24 02:10:15 2024
# Orbit generated from Bernstein formalism
# Fitting 34 observations of 34
# Arc: 2.25y
# First observation: 2015/02/20
# Last observation: 2017/05/24
Preliminary a, adot, b, bdot, g, gdot:
-0.000148 0.031695 -0.000003 -0.004621 0.024563 0.000000
# Chi-squared of fit: 14.36 DOF: 62 RMS: 0.11
# Min/Max residuals: -0.23 0.39
# Exact a, adot, b, bdot, g, gdot:
2.039152E-05 3.180727E-02 -3.448097E-06 -4.652991E-03 2.477590E-02 8.614434E-03
# Covariance matrix:
1.9277E-13 -9.0573E-14 -1.4518E-15 8.1600E-16 1.0998E-13 -9.7496E-14
-9.0573E-14 5.7139E-13 2.1242E-14 -9.8131E-14 1.8463E-13 1.2274E-11
-1.4518E-15 2.1242E-14 1.0203E-13 -8.9508E-14 7.3330E-15 5.8280E-13
8.1600E-16 -9.8131E-14 -8.9508E-14 1.4619E-13 -4.1096E-14 -2.6963E-12
1.0998E-13 1.8463E-13 7.3330E-15 -4.1096E-14 2.1398E-13 5.1458E-12
-9.7496E-14 1.2274E-11 5.8280E-13 -2.6963E-12 5.1458E-12 3.3724E-10
# lat0 lon0 xBary yBary zBary JD0
3.219828 -153.811841 0.805471 0.032060 -0.567557 2457074.139828
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 0.89867 +/- 0.006
Argument of Peri: 128.94759 +/- 0.055
Long of Asc Node: 46.07315 +/- 0.001
Inclination: 8.79042 +/- 0.001
Eccentricity: 0.88372302 +/- 0.0006
Semi-Major Axis: 330.23300412 +/- 1.4791
Time of Perihelion: 2451598.7622 +/- 8.0
Perihelion: 38.39849573 +/- 0.2505
Aphelion: 622.06751252 +/- 2.7922
Period (y) 6001.2113 +/- 40.32
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.02972272 +/- 0.0007
Ecliptic Y -17.31261115 +/- 0.0003
Ecliptic Z 2.26687386 +/- 0.0000
Ecliptic XDOT 0.00066876 +/- 0.0000
Ecliptic YDOT -0.00359183 +/- 0.0000
Ecliptic ZDOT -0.00045981 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.93978000 +/- 0.0006
Geocenter to KBO 40.36179660 +/- 0.0008
# Hcoef: 8.43
The following table shows the complete astrometric record for 15GT50. 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 (15GT50) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.63905 13 41 50.847 -07 06 28.34 24.4r 15GT50 568 C~2Gtz 2015 03 18.58338 13 40 34.767 -06 58 51.41 24.4r 15GT50 568 C~2Gtz 2015 03 18.63265 13 40 34.571 -06 58 50.47 24.6r 15GT50 568 C~2Gtz 2015 03 20.58759 13 40 27.184 -06 58 08.39 24.3r 15GT50 568 C~2Gtz 2015 04 11.52247 13 38 55.202 -06 49 47.27 24.0r 15GT50 568 C~2Gtz 2015 04 13.38609 13 38 46.926 -06 49 03.98 24.4r 15GT50 568 C~2Gtz 2015 04 13.44737 13 38 46.646 -06 49 02.54 24.4r 15GT50 568 C~2Gtz 2015 04 13.45145 13 38 46.633 -06 49 02.35 24.7r 15GT50 568 C~2Gtz 2015 04 13.45555 13 38 46.615 -06 49 02.31 24.3r 15GT50 568 C~2Gtz 2015 04 13.52960 13 38 46.278 -06 49 00.63 24.6r 15GT50 568 C~2Gtz 2015 04 19.49744 13 38 19.700 -06 46 43.67 24.4r 15GT50 568 C~2Gtz 2015 04 19.55519 13 38 19.436 -06 46 41.78 24.5r 15GT50 568 C~2Gtz 2015 05 18.34948 13 36 19.759 -06 37 12.59 24.4r 15GT50 568 C~2Gtz 2015 06 20.29948 13 34 53.503 -06 32 25.01 24.8r 15GT50 568 C~2Gtz 2015 06 20.34029 13 34 53.443 -06 32 24.91 24.5r 15GT50 568 C~2Gtz 2015 06 22.34439 13 34 50.791 -06 32 24.24 25.1r 15GT50 568 C~2Gtz 2015 07 14.29673 13 34 44.359 -06 34 32.33 24.3r 15GT50 568 C~2Gtz 2015 07 20.28959 13 34 50.008 -06 35 50.98 24.6r 15GT50 568 C~2Gtz 2016 02 04.60621 13 48 35.691 -08 02 20.71 25.0w 15GT50 568 C~2Gtz 2016 02 11.58929 13 48 30.549 -08 01 39.56 24.8w 15GT50 568 C~2Gtz 2016 03 11.59678 13 47 25.551 -07 55 04.40 24.6w 15GT50 568 C~2Gtz 2016 03 12.46991 13 47 22.671 -07 54 47.91 24.9w 15GT50 568 C~2Gtz 2016 03 12.51169 13 47 22.534 -07 54 46.96 24.8w 15GT50 568 C~2Gtz 2016 03 12.52638 13 47 22.483 -07 54 46.98 25.1w 15GT50 568 C~2Gtz 2016 03 12.61050 13 47 22.195 -07 54 45.27 24.8w 15GT50 568 C~2Gtz 2016 04 03.46957 13 45 57.680 -07 47 02.98 24.2w 15GT50 568 C~2Gtz 2016 04 13.45991 13 45 14.110 -07 43 15.85 24.7w 15GT50 568 C~2Gtz 2016 04 14.36210 13 45 10.126 -07 42 55.30 25.4w 15GT50 568 C~2Gtz 2016 05 02.34774 13 43 51.092 -07 36 24.38 24.6w 15GT50 568 C~2Gtz 2016 05 07.35110 13 43 30.092 -07 34 45.37 24.8w 15GT50 568 C~2Gtz 2016 05 29.34365 13 42 09.673 -07 28 58.89 25.0w 15GT50 568 C~2Gtz 2016 06 04.40605 13 41 52.166 -07 27 55.19 24.7w 15GT50 568 C~2Gtz 2017 03 30.50178 13 52 40.848 -08 41 43.19 24.6w 15GT50 568 C~2Gtz 2017 05 24.26091 13 48 51.881 -08 23 22.22 24.7w 15GT50 568 C~2Gtz
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 0.10
2 0.0710 -1221.16 0.21 18.53 0.18
3 0.0712 -1224.22 0.13 18.35 0.03
4 0.0765 -1341.98 -0.00 17.97 0.13
5 0.1366 -2800.42 0.04 -8.84 -0.01
6 0.1417 -2931.02 -0.14 -12.99 -0.10
7 0.1418 -2935.43 -0.18 -13.15 -0.09
8 0.1419 -2935.68 -0.13 -13.05 0.03
9 0.1419 -2935.94 -0.11 -13.11 -0.02
10 0.1421 -2941.23 -0.11 -13.35 -0.07
11 0.1584 -3359.94 0.15 -28.69 -0.14
12 0.1586 -3364.29 -0.10 -28.35 0.39
13 0.2374 -5233.15 0.19 -143.04 0.20
14 0.3276 -6536.31 0.05 -341.38 -0.12
15 0.3277 -6537.18 0.04 -341.61 -0.06
16 0.3332 -6574.28 0.04 -355.35 -0.20
17 0.3933 -6617.13 -0.00 -509.58 -0.21
18 0.4097 -6510.03 -0.03 -552.31 -0.23
19 0.9554 6823.26 -0.06 -975.99 -0.00
20 0.9745 6737.15 0.03 -964.72 -0.09
21 1.0540 5693.21 -0.01 -939.59 -0.10
22 1.0563 5647.32 -0.02 -939.44 -0.04
23 1.0565 5645.07 0.01 -939.28 0.14
24 1.0565 5644.37 0.11 -939.57 -0.14
25 1.0567 5639.76 0.07 -939.50 -0.04
26 1.1166 4300.84 -0.10 -956.16 0.02
27 1.1439 3614.60 -0.02 -975.70 0.08
28 1.1464 3551.93 0.01 -977.70 0.17
29 1.1956 2314.68 -0.20 -1033.70 -0.09
30 1.2093 1987.67 0.07 -1053.29 0.09
31 1.2696 747.07 -0.01 -1159.48 0.14
32 1.2862 481.20 0.10 -1193.67 0.06
33 2.1050 11071.42 0.05 -1895.17 -0.06
34 2.2550 7497.91 -0.05 -2070.11 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.
15GT50 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 300.363 304.324 296.539 ecceobj 0.872 0.874 0.870 incobj 8.807 8.807 8.807 qmin 35.224 35.326 35.686 qmax 748.929 697.112 672.229 amean 327.337 321.034 309.741 amin 296.053 289.238 288.373 amax 393.765 367.770 355.350 emean 0.882 0.880 0.876 emin 0.865 0.864 0.863 emax 0.902 0.896 0.892 imean 8.387 8.361 8.341 imin 7.940 7.932 7.945 imax 8.892 8.865 8.720 excite_mean 0.894 0.892 0.887 fracstop 1.000 1.000 1.000 cjmean 3.162 3.161 3.162 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 144.3 142.8 142.3 kozaiamp 15.8 15.7 12.6