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: 15GN58
# Created Sun Nov 24 02:10:18 2024
# Orbit generated from Bernstein formalism
# Fitting 28 observations of 28
# Arc: 1.38y
# First observation: 2015/02/17
# Last observation: 2016/07/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000092 0.016599 0.000003 0.000129 0.019781 0.000000
# Chi-squared of fit: 6.34 DOF: 50 RMS: 0.08
# Min/Max residuals: -0.32 0.26
# Exact a, adot, b, bdot, g, gdot:
1.257455E-05 1.656013E-02 1.846505E-08 1.290431E-04 1.986620E-02 3.302860E-04
# Covariance matrix:
2.8003E-13 1.1559E-14 -3.7685E-15 6.7232E-15 3.1579E-13 1.8654E-11
1.1559E-14 3.2387E-13 -2.8654E-15 5.6331E-15 2.3678E-13 1.6421E-11
-3.7685E-15 -2.8654E-15 1.0702E-13 -1.1195E-13 -7.1481E-15 -4.7879E-13
6.7232E-15 5.6331E-15 -1.1195E-13 2.2858E-13 1.3543E-14 1.0646E-12
3.1579E-13 2.3678E-13 -7.1481E-15 1.3543E-14 5.9393E-13 3.8776E-11
1.8654E-11 1.6421E-11 -4.7879E-13 1.0646E-12 3.8776E-11 3.2733E-09
# lat0 lon0 xBary yBary zBary JD0
3.054437 -155.905036 0.814730 0.029663 -0.553298 2457071.089318
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 176.06304 +/- 1.749
Argument of Peri: 264.03018 +/- 1.755
Long of Asc Node: 122.38825 +/- 0.031
Inclination: 3.06006 +/- 0.000
Eccentricity: 0.10096009 +/- 0.0001
Semi-Major Axis: 46.23981226 +/- 0.0037
Time of Perihelion: 2515750.3532 +/- 557.9
Perihelion: 41.57143664 +/- 0.0077
Aphelion: 50.90818789 +/- 0.0080
Period (y) 314.4360 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -46.72681634 +/- 0.0018
Ecliptic Y -20.00323784 +/- 0.0008
Ecliptic Z 2.68218390 +/- 0.0001
Ecliptic XDOT 0.00088744 +/- 0.0000
Ecliptic YDOT -0.00210711 +/- 0.0000
Ecliptic ZDOT 0.00002028 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 50.89910608 +/- 0.0017
Geocenter to KBO 50.33674183 +/- 0.0020
# Hcoef: 7.29
The following table shows the complete astrometric record for 15GN58. 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 (15GN58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58854 13 33 45.560 -06 30 14.72 24.2r 15GN58 568 C~2nva 2015 02 17.62949 13 33 45.475 -06 30 14.13 24.3r 15GN58 568 C~2nva 2015 02 20.62266 13 33 39.780 -06 29 30.56 24.4r 15GN58 568 C~2nva 2015 03 18.56698 13 32 29.223 -06 21 26.81 23.9r 15GN58 568 C~2nva 2015 03 18.60819 13 32 29.087 -06 21 25.81 24.4r 15GN58 568 C~2nva 2015 03 18.61429 13 32 29.068 -06 21 25.77 24.3r 15GN58 568 C~2nva 2015 03 20.57112 13 32 22.485 -06 20 43.48 24.3r 15GN58 568 C~2nva 2015 04 11.50547 13 31 02.179 -06 12 27.52 24.1r 15GN58 568 C~2nva 2015 04 13.36971 13 30 55.059 -06 11 44.93 24.4r 15GN58 568 C~2nva 2015 04 13.41068 13 30 54.896 -06 11 43.99 24.1r 15GN58 568 C~2nva 2015 04 13.51324 13 30 54.499 -06 11 41.67 24.2r 15GN58 568 C~2nva 2015 04 19.41044 13 30 31.946 -06 09 29.05 23.7r 15GN58 568 C~2nva 2015 04 19.52742 13 30 31.449 -06 09 26.48 25.0r 15GN58 568 C~2nva 2015 05 18.33311 13 28 49.327 -05 59 58.31 24.7r 15GN58 568 C~2nva 2015 06 20.28316 13 27 34.966 -05 54 13.58 24.6r 15GN58 568 C~2nva 2015 06 20.32394 13 27 34.913 -05 54 13.39 24.4r 15GN58 568 C~2nva 2015 06 22.32783 13 27 32.508 -05 54 06.28 24.5r 15GN58 568 C~2nva 2015 07 14.28011 13 27 24.532 -05 54 40.68 24.1r 15GN58 568 C~2nva 2015 07 20.27306 13 27 28.338 -05 55 26.11 24.2r 15GN58 568 C~2nva 2016 02 04.57963 13 37 37.082 -06 53 05.88 24.7w 15GN58 568 C~2nva 2016 02 10.56746 13 37 30.969 -06 52 07.36 25.1w 15GN58 568 C~2nva 2016 03 11.54839 13 36 24.987 -06 44 10.04 24.6w 15GN58 568 C~2nva 2016 04 03.43317 13 35 06.234 -06 35 53.19 24.5w 15GN58 568 C~2nva 2016 04 09.41297 13 34 43.619 -06 33 37.09 24.2w 15GN58 568 C~2nva 2016 05 02.31529 13 33 16.995 -06 25 18.25 24.4w 15GN58 568 C~2nva 2016 05 06.32506 13 33 02.589 -06 23 58.99 24.6w 15GN58 568 C~2nva 2016 06 27.28486 13 31 00.269 -06 14 22.90 24.4w 15GN58 568 C~2nva 2016 07 07.28742 13 30 55.712 -06 14 33.57 24.4w 15GN58 568 C~2nva
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 0.13 0.00 0.02
2 0.0001 -1.39 0.00 0.09 -0.01
3 0.0083 -96.32 0.02 9.62 0.01
4 0.0793 -1252.11 -0.03 75.15 0.01
5 0.0795 -1254.36 -0.02 75.34 0.13
6 0.0795 -1254.64 0.04 75.27 0.05
7 0.0848 -1361.45 -0.07 78.70 -0.01
8 0.1449 -2657.40 -0.02 101.46 -0.05
9 0.1500 -2771.82 -0.02 102.15 0.07
10 0.1501 -2774.43 -0.07 102.13 0.06
11 0.1504 -2780.79 -0.03 102.12 0.07
12 0.1665 -3142.39 0.26 102.11 -0.02
13 0.1668 -3150.23 -0.32 101.79 -0.29
14 0.2457 -4776.28 0.00 70.78 -0.04
15 0.3359 -5935.48 0.09 -16.86 -0.03
16 0.3360 -5936.29 0.10 -16.98 0.00
17 0.3415 -5972.30 0.03 -23.58 -0.06
18 0.4016 -6070.36 -0.03 -99.42 0.05
19 0.4180 -6000.78 -0.04 -120.75 -0.05
20 0.9637 3712.04 -0.00 -19.35 0.00
21 0.9801 3605.93 0.01 2.06 0.16
22 1.0622 2516.60 -0.03 88.96 -0.01
23 1.1248 1242.80 0.00 123.90 -0.02
24 1.1412 879.37 0.02 127.64 0.03
25 1.2039 -504.67 0.09 120.30 0.02
26 1.2149 -733.52 -0.04 115.53 -0.04
27 1.3571 -2641.59 -0.06 -16.34 -0.02
28 1.3845 -2700.90 0.02 -51.19 -0.04
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.
15GN58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.840 45.854 45.829 ecceobj 0.111 0.111 0.111 incobj 3.062 3.062 3.062 qmin 40.369 40.358 40.319 qmax 52.176 52.247 52.221 amean 46.127 46.139 46.116 amin 45.754 45.762 45.728 amax 46.528 46.550 46.542 emean 0.109 0.109 0.109 emin 0.096 0.096 0.096 emax 0.122 0.123 0.122 imean 1.891 1.891 1.892 imin 1.386 1.388 1.384 imax 2.374 2.370 2.379 excite_mean 0.114 0.114 0.114 fracstop 1.000 1.000 1.000 cjmean 3.112 3.112 3.111 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 182.5 182.6 182.5 kozaiamp 179.9 180.0 180.0