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: 15GT54
# Created Fri Nov 22 02:10:18 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 2.25y
# First observation: 2015/02/17
# Last observation: 2017/05/18
Preliminary a, adot, b, bdot, g, gdot:
-0.000124 0.031966 0.000012 -0.003311 0.028883 0.000000
# Chi-squared of fit: 16.43 DOF: 54 RMS: 0.13
# Min/Max residuals: -0.28 0.36
# Exact a, adot, b, bdot, g, gdot:
1.824927E-05 3.155985E-02 -1.718895E-06 -3.268300E-03 2.881560E-02 -4.237034E-03
# Covariance matrix:
1.7043E-13 -1.1944E-14 5.6007E-16 -7.2998E-15 1.2267E-13 1.2278E-12
-1.1944E-14 4.2585E-13 8.3993E-15 -4.9219E-14 2.1835E-13 7.9334E-12
5.6007E-16 8.3993E-15 9.4828E-14 -7.1149E-14 4.5019E-15 2.1081E-13
-7.2998E-15 -4.9219E-14 -7.1149E-14 1.1280E-13 -3.1496E-14 -1.2227E-12
1.2267E-13 2.1835E-13 4.5019E-15 -3.1496E-14 2.5468E-13 5.1418E-12
1.2278E-12 7.9334E-12 2.1081E-13 -1.2227E-12 5.1418E-12 1.9692E-10
# lat0 lon0 xBary yBary zBary JD0
2.325987 -156.419942 0.809840 0.022917 -0.560747 2457071.077078
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 313.27375 +/- 0.032
Argument of Peri: 223.39488 +/- 0.070
Long of Asc Node: 43.45299 +/- 0.002
Inclination: 6.30757 +/- 0.001
Eccentricity: 0.18473578 +/- 0.0004
Semi-Major Axis: 39.40544255 +/- 0.0066
Time of Perihelion: 2468797.6145 +/- 7.4
Perihelion: 32.12584747 +/- 0.0176
Aphelion: 46.68503763 +/- 0.0185
Period (y) 247.3674 +/- 0.06
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -32.62063926 +/- 0.0006
Ecliptic Y -13.35324165 +/- 0.0002
Ecliptic Z 1.40837960 +/- 0.0000
Ecliptic XDOT 0.00155298 +/- 0.0000
Ecliptic YDOT -0.00259792 +/- 0.0000
Ecliptic ZDOT -0.00032652 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 35.27603579 +/- 0.0005
Geocenter to KBO 34.70342431 +/- 0.0006
# Hcoef: 9.40
The following table shows the complete astrometric record for 15GT54. 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 (15GT54) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.57630 13 30 45.400 -06 59 36.39 24.5r 15GT54 568 C~2lV8 2015 02 17.61724 13 30 45.315 -06 59 35.84 25.2r 15GT54 568 C~2lV8 2015 02 20.61032 13 30 37.479 -06 58 44.70 24.6r 15GT54 568 C~2lV8 2015 03 18.55474 13 28 58.977 -06 48 41.63 24.9r 15GT54 568 C~2lV8 2015 03 18.59568 13 28 58.780 -06 48 40.50 24.6r 15GT54 568 C~2lV8 2015 03 20.55852 13 28 49.517 -06 47 45.88 24.8r 15GT54 568 C~2lV8 2015 04 11.49312 13 26 56.754 -06 36 59.32 24.8r 15GT54 568 C~2lV8 2015 04 13.35741 13 26 46.759 -06 36 03.50 25.1r 15GT54 568 C~2lV8 2015 04 13.39836 13 26 46.545 -06 36 02.44 24.8r 15GT54 568 C~2lV8 2015 04 13.47268 13 26 46.138 -06 36 00.12 24.7r 15GT54 568 C~2lV8 2015 04 13.47763 13 26 46.121 -06 35 59.91 24.6r 15GT54 568 C~2lV8 2015 04 19.39819 13 26 14.429 -06 33 04.51 24.5r 15GT54 568 C~2lV8 2015 04 19.51516 13 26 13.769 -06 33 01.63 24.0r 15GT54 568 C~2lV8 2015 05 18.27253 13 23 52.749 -06 20 42.07 24.5r 15GT54 568 C~2lV8 2015 06 20.27087 13 22 15.200 -06 13 52.79 24.9r 15GT54 568 C~2lV8 2015 06 20.31175 13 22 15.145 -06 13 52.60 25.5r 15GT54 568 C~2lV8 2015 06 22.31546 13 22 12.352 -06 13 47.94 25.1r 15GT54 568 C~2lV8 2015 07 14.26780 13 22 08.611 -06 15 37.76 24.6r 15GT54 568 C~2lV8 2016 02 10.55526 13 37 32.843 -07 51 35.24 24.1w 15GT54 568 C~2lV8 2016 02 11.57713 13 37 31.158 -07 51 23.92 25.2w 15GT54 568 C~2lV8 2016 03 11.55250 13 36 03.011 -07 42 21.51 25.7w 15GT54 568 C~2lV8 2016 03 12.47618 13 35 59.102 -07 41 58.76 25.1w 15GT54 568 C~2lV8 2016 04 03.43722 13 34 12.610 -07 31 48.90 25.2w 15GT54 568 C~2lV8 2016 04 09.41701 13 33 40.768 -07 28 51.99 25.4w 15GT54 568 C~2lV8 2016 06 27.28082 13 28 33.579 -07 04 09.29 25.2w 15GT54 568 C~2lV8 2016 07 06.31671 13 28 29.693 -07 04 37.94 25.4w 15GT54 568 C~2lV8 2016 07 07.28338 13 28 29.752 -07 04 44.48 25.3w 15GT54 568 C~2lV8 2017 02 24.64707 13 43 38.166 -08 38 34.81 15GT54 568 C~2lV8 2017 03 29.46871 13 41 22.332 -08 25 36.80 25.0w 15GT54 568 C~2lV8 2017 05 18.26658 13 37 03.868 -08 02 52.89 25.1w 15GT54 568 C~2lV8
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 -0.02
2 0.0001 -1.38 0.13 0.05 -0.01
3 0.0083 -128.68 0.06 4.76 0.02
4 0.0793 -1714.55 -0.03 26.11 -0.01
5 0.0795 -1717.69 -0.06 26.08 -0.03
6 0.0848 -1866.09 -0.09 26.07 -0.03
7 0.1449 -3666.33 0.06 7.74 0.03
8 0.1500 -3825.40 -0.14 4.63 -0.00
9 0.1501 -3828.76 0.05 4.44 -0.10
10 0.1503 -3835.25 0.00 4.36 -0.01
11 0.1503 -3835.56 0.12 4.46 0.10
12 0.1665 -4339.41 0.21 -6.96 0.36
13 0.1668 -4349.61 0.07 -7.92 -0.28
14 0.2456 -6577.58 0.01 -98.60 0.06
15 0.3359 -8081.98 -0.05 -258.09 -0.03
16 0.3360 -8082.82 0.06 -258.22 0.08
17 0.3415 -8123.28 -0.11 -269.36 -0.17
18 0.4016 -8134.32 -0.10 -392.14 0.08
19 0.9801 6783.45 0.05 -687.91 0.15
20 0.9829 6755.98 -0.09 -686.47 -0.00
21 1.0622 5337.15 -0.23 -658.26 0.13
22 1.0647 5274.70 0.05 -658.26 -0.12
23 1.1249 3577.25 0.04 -668.42 -0.01
24 1.1412 3071.68 0.29 -676.90 -0.28
25 1.3572 -1724.52 -0.07 -975.66 0.01
26 1.3819 -1767.75 0.08 -1023.61 0.29
27 1.3846 -1764.53 -0.17 -1029.37 -0.28
28 2.0207 12873.78 -0.19 -1354.76 -0.01
29 2.1106 10706.73 0.14 -1355.84 0.04
30 2.2469 6628.97 0.07 -1476.15 0.03
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.
15GT54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.049 39.062 39.037 ecceobj 0.182 0.183 0.181 incobj 6.325 6.325 6.325 qmin 31.294 31.229 31.239 qmax 48.446 48.421 48.438 amean 39.458 39.457 39.458 amin 38.904 38.927 38.895 amax 40.071 40.037 40.105 emean 0.190 0.192 0.188 emin 0.170 0.174 0.169 emax 0.209 0.209 0.210 imean 5.096 5.041 5.108 imin 4.163 4.312 4.078 imax 6.092 5.879 6.121 excite_mean 0.210 0.211 0.208 fracstop 1.000 1.000 1.000 cjmean 3.002 3.001 3.002 libcent 0 180.0 180.4 180.5 libamp 0 129.0 127.2 131.5 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 188.8 185.6 153.4 kozaiamp 180.0 179.9 179.9