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: 15GN54
# Created Sun Dec 22 02:10:19 2024
# Orbit generated from Bernstein formalism
# Fitting 36 observations of 36
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000101 0.026784 -0.000001 0.000505 0.026298 0.000000
# Chi-squared of fit: 9.78 DOF: 66 RMS: 0.09
# Min/Max residuals: -0.25 0.28
# Exact a, adot, b, bdot, g, gdot:
1.569319E-05 2.651017E-02 -4.515793E-07 4.981701E-04 2.621544E-02 -3.886223E-03
# Covariance matrix:
1.6099E-13 -1.3061E-15 -6.1476E-16 1.6535E-15 1.1533E-13 1.4756E-12
-1.3061E-15 2.8177E-13 -1.9141E-15 6.7643E-15 1.7592E-13 6.1511E-12
-6.1476E-16 -1.9141E-15 8.7867E-14 -6.0324E-14 -1.7136E-15 -5.6917E-14
1.6535E-15 6.7643E-15 -6.0324E-14 7.6360E-14 5.4570E-15 2.0380E-13
1.1533E-13 1.7592E-13 -1.7136E-15 5.4570E-15 2.2538E-13 4.9300E-12
1.4756E-12 6.1511E-12 -5.6917E-14 2.0380E-13 4.9300E-12 1.8547E-10
# lat0 lon0 xBary yBary zBary JD0
0.567600 -153.370042 0.839159 0.005262 -0.516316 2457071.011078
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 288.23066 +/- 0.042
Argument of Peri: 117.92834 +/- 0.019
Long of Asc Node: 178.21785 +/- 0.013
Inclination: 1.22596 +/- 0.001
Eccentricity: 0.16622030 +/- 0.0005
Semi-Major Axis: 39.68496975 +/- 0.0072
Time of Perihelion: 2475274.7983 +/- 9.6
Perihelion: 33.08852208 +/- 0.0213
Aphelion: 46.28141741 +/- 0.0221
Period (y) 250.0042 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -34.93777559 +/- 0.0006
Ecliptic Y -16.57820440 +/- 0.0003
Ecliptic Z 0.37785930 +/- 0.0000
Ecliptic XDOT 0.00160057 +/- 0.0000
Ecliptic YDOT -0.00229836 +/- 0.0000
Ecliptic ZDOT 0.00004810 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.67334743 +/- 0.0006
Geocenter to KBO 38.14546363 +/- 0.0007
# Hcoef: 8.72
The following table shows the complete astrometric record for 15GN54. 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 (15GN54) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.51030 13 39 38.995 -09 44 28.01 24.5r 15GN54 568 C~2lV7 2015 02 17.55169 13 39 38.901 -09 44 27.62 24.5r 15GN54 568 C~2lV7 2015 02 20.48249 13 39 32.381 -09 43 47.10 23.8r 15GN54 568 C~2lV7 2015 03 18.48843 13 38 05.372 -09 35 03.03 24.5r 15GN54 568 C~2lV7 2015 03 18.53000 13 38 05.200 -09 35 01.83 24.6r 15GN54 568 C~2lV7 2015 03 20.53205 13 37 56.691 -09 34 11.35 24.5r 15GN54 568 C~2lV7 2015 04 11.46838 13 36 13.972 -09 24 07.00 24.3r 15GN54 568 C~2lV7 2015 04 12.37527 13 36 09.509 -09 23 40.58 24.4r 15GN54 568 C~2lV7 2015 04 12.41621 13 36 09.311 -09 23 39.53 24.9r 15GN54 568 C~2lV7 2015 04 12.46324 13 36 09.070 -09 23 38.15 24.3r 15GN54 568 C~2lV7 2015 04 18.43380 13 35 39.520 -09 20 45.53 25.0r 15GN54 568 C~2lV7 2015 04 18.48152 13 35 39.278 -09 20 43.97 24.7r 15GN54 568 C~2lV7 2015 05 16.28057 13 33 29.689 -09 08 12.10 24.2r 15GN54 568 C~2lV7 2015 05 25.38456 13 32 54.100 -09 04 47.67 24.4r 15GN54 568 C~2lV7 2015 05 25.44235 13 32 53.887 -09 04 46.57 24.7r 15GN54 568 C~2lV7 2015 06 21.33417 13 31 42.922 -08 58 05.46 24.6r 15GN54 568 C~2lV7 2015 06 22.29068 13 31 41.495 -08 57 57.71 24.5r 15GN54 568 C~2lV7 2015 07 12.28470 13 31 31.042 -08 57 09.48 24.5r 15GN54 568 C~2lV7 2015 07 19.27455 13 31 36.325 -08 57 44.91 24.9r 15GN54 568 C~2lV7 2016 02 04.61430 13 45 46.557 -10 17 40.08 25.0w 15GN54 568 C~2lV7 2016 02 04.62644 13 45 46.552 -10 17 39.99 25.6w 15GN54 568 C~2lV7 2016 02 04.63139 13 45 46.541 -10 17 40.12 25.1w 15GN54 568 C~2lV7 2016 04 03.47768 13 42 42.675 -09 59 22.23 24.6w 15GN54 568 C~2lV7 2016 04 09.45884 13 42 13.510 -09 56 33.49 24.6w 15GN54 568 C~2lV7 2016 05 02.34368 13 40 20.739 -09 45 45.70 22.4w 15GN54 568 C~2lV7 2016 05 07.34704 13 39 57.225 -09 43 31.46 24.6w 15GN54 568 C~2lV7 2016 05 28.31649 13 38 30.876 -09 35 21.24 26.0w 15GN54 568 C~2lV7 2016 05 29.32340 13 38 27.370 -09 35 01.86 24.6w 15GN54 568 C~2lV7 2016 06 04.38582 13 38 07.731 -09 33 11.72 25.1w 15GN54 568 C~2lV7 2016 06 27.31141 13 37 20.129 -09 28 51.41 25.2w 15GN54 568 C~2lV7 2016 07 07.30770 13 37 14.102 -09 28 23.56 24.8w 15GN54 568 C~2lV7 2017 02 27.64150 13 50 58.976 -10 44 26.69 15GN54 568 C~2lV7 2017 02 27.64549 13 50 58.948 -10 44 26.58 15GN54 568 C~2lV7 2017 03 30.49241 13 49 00.627 -10 32 59.74 25.0w 15GN54 568 C~2lV7 2017 05 24.25622 13 44 41.508 -10 08 36.96 24.7w 15GN54 568 C~2lV7 2017 06 25.27303 13 43 13.217 -10 00 34.72 25.0w 15GN54 568 C~2lV7
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 0.06 0.00 0.16
2 0.0001 -1.44 0.06 -0.14 -0.00
3 0.0081 -105.96 -0.11 2.87 -0.14
4 0.0793 -1495.06 0.08 26.60 -0.25
5 0.0795 -1497.86 0.10 26.80 -0.06
6 0.0849 -1633.46 -0.07 28.31 -0.03
7 0.1450 -3269.13 -0.02 40.62 -0.09
8 0.1475 -3340.28 -0.08 41.25 0.15
9 0.1476 -3343.39 0.08 41.17 0.07
10 0.1477 -3347.22 0.01 41.16 0.06
11 0.1641 -3817.53 0.00 43.09 0.06
12 0.1642 -3821.43 -0.08 43.25 0.22
13 0.2403 -5883.26 0.07 44.76 0.08
14 0.2652 -6449.12 -0.05 42.65 -0.02
15 0.2654 -6452.46 0.01 42.52 -0.12
16 0.3390 -7578.93 -0.04 31.44 0.03
17 0.3416 -7601.47 -0.12 30.92 -0.00
18 0.3964 -7763.49 0.04 19.09 -0.03
19 0.4155 -7677.55 0.14 14.77 0.00
20 0.9640 5784.11 -0.04 87.62 -0.03
21 0.9640 5784.01 0.01 87.67 0.02
22 0.9641 5783.91 -0.03 87.49 -0.17
23 1.1252 2854.60 0.04 142.09 -0.02
24 1.1415 2391.80 -0.05 144.99 0.07
25 1.2042 603.62 0.20 150.03 -0.08
26 1.2179 230.98 0.02 149.95 -0.10
27 1.2753 -1136.78 -0.15 146.06 0.28
28 1.2781 -1192.13 0.04 145.38 -0.04
29 1.2947 -1502.80 0.05 142.99 0.03
30 1.3574 -2253.54 -0.11 130.66 -0.04
31 1.3848 -2346.75 -0.10 124.30 0.01
32 2.0291 10669.95 0.08 219.00 0.06
33 2.0291 10669.52 -0.17 218.96 0.02
34 2.1136 8790.89 0.02 245.20 -0.06
35 2.2635 4692.56 0.06 252.36 -0.04
36 2.3512 3301.88 0.06 236.16 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.
15GN54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.353 39.369 39.337 ecceobj 0.168 0.169 0.167 incobj 1.232 1.232 1.232 qmin 32.084 32.060 32.138 qmax 47.600 47.699 47.679 amean 39.458 39.458 39.458 amin 38.885 38.885 38.893 amax 40.079 40.084 40.101 emean 0.167 0.168 0.166 emin 0.145 0.146 0.146 emax 0.190 0.191 0.189 imean 3.522 4.109 3.167 imin 1.494 1.649 1.523 imax 5.347 6.169 4.844 excite_mean 0.179 0.184 0.176 fracstop 1.000 1.000 1.000 cjmean 3.015 3.013 3.016 libcent 0 179.5 180.6 180.7 libamp 0 134.4 137.8 134.3 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 189.1 163.4 171.6 kozaiamp 179.9 179.9 179.9