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: 15GQ58
# Created Sun Nov 24 02:10:18 2024
# Orbit generated from Bernstein formalism
# Fitting 31 observations of 31
# Arc: 2.25y
# First observation: 2015/02/17
# Last observation: 2017/05/18
Preliminary a, adot, b, bdot, g, gdot:
-0.000060 0.016761 0.000002 -0.000068 0.019992 0.000000
# Chi-squared of fit: 8.72 DOF: 56 RMS: 0.09
# Min/Max residuals: -0.23 0.24
# Exact a, adot, b, bdot, g, gdot:
1.274405E-05 1.672614E-02 -1.056631E-07 -6.790690E-05 2.002305E-02 -9.229468E-04
# Covariance matrix:
2.0773E-13 1.2058E-14 -1.5796E-15 5.2302E-16 2.0827E-13 8.8025E-12
1.2058E-14 3.0334E-13 -2.3167E-15 7.3724E-16 3.0673E-13 1.3956E-11
-1.5796E-15 -2.3167E-15 1.2811E-13 -1.0365E-13 -4.1648E-15 -1.8412E-13
5.2302E-16 7.3724E-16 -1.0365E-13 1.3257E-13 1.3327E-15 4.8115E-14
2.0827E-13 3.0673E-13 -4.1648E-15 1.3327E-15 5.5111E-13 2.4830E-11
8.8025E-12 1.3956E-11 -1.8412E-13 4.8115E-14 2.4830E-11 1.4769E-09
# lat0 lon0 xBary yBary zBary JD0
2.095133 -154.868906 0.824577 0.019856 -0.538963 2457071.093388
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 217.73331 +/- 0.831
Argument of Peri: 245.51878 +/- 0.821
Long of Asc Node: 108.60750 +/- 0.034
Inclination: 2.08225 +/- 0.000
Eccentricity: 0.12312026 +/- 0.0010
Semi-Major Axis: 45.80484378 +/- 0.0127
Time of Perihelion: 2501817.7403 +/- 260.8
Perihelion: 40.16533971 +/- 0.0492
Aphelion: 51.44434786 +/- 0.0500
Period (y) 310.0097 +/- 0.13
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -46.02579853 +/- 0.0017
Ecliptic Y -20.67841854 +/- 0.0008
Ecliptic Z 1.82583415 +/- 0.0001
Ecliptic XDOT 0.00108151 +/- 0.0000
Ecliptic YDOT -0.00202271 +/- 0.0000
Ecliptic ZDOT -0.00001380 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 50.49064066 +/- 0.0016
Geocenter to KBO 49.94243509 +/- 0.0019
# Hcoef: 7.61
The following table shows the complete astrometric record for 15GQ58. 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 (15GQ58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.59261 13 36 14.134 -07 46 28.76 24.6r 15GQ58 568 C~2nva 2015 02 17.63360 13 36 14.052 -07 46 28.36 24.6r 15GQ58 568 C~2nva 2015 02 20.62674 13 36 08.415 -07 45 48.68 24.6r 15GQ58 568 C~2nva 2015 03 18.57107 13 34 57.879 -07 38 11.96 24.8r 15GQ58 568 C~2nva 2015 03 18.61845 13 34 57.720 -07 38 11.00 24.2r 15GQ58 568 C~2nva 2015 03 20.57526 13 34 51.108 -07 37 30.05 25.1r 15GQ58 568 C~2nva 2015 04 11.50958 13 33 30.116 -07 29 22.66 24.4r 15GQ58 568 C~2nva 2015 04 13.37381 13 33 22.902 -07 28 40.21 24.5r 15GQ58 568 C~2nva 2015 04 13.41479 13 33 22.735 -07 28 39.26 24.8r 15GQ58 568 C~2nva 2015 04 13.51735 13 33 22.331 -07 28 37.02 24.6r 15GQ58 568 C~2nva 2015 04 19.41451 13 32 59.514 -07 26 23.84 24.7r 15GQ58 568 C~2nva 2015 06 22.33199 13 29 56.056 -07 10 07.67 24.6r 15GQ58 568 C~2nva 2015 07 20.27721 13 29 50.460 -07 10 49.20 25.0r 15GQ58 568 C~2nva 2016 02 04.56733 13 40 07.508 -08 09 44.84 25.0w 15GQ58 568 C~2nva 2016 02 10.55526 13 40 01.608 -08 08 55.64 24.7w 15GQ58 568 C~2nva 2016 02 10.60492 13 40 01.541 -08 08 54.89 25.3w 15GQ58 568 C~2nva 2016 02 11.57713 13 40 00.332 -08 08 45.67 24.9w 15GQ58 568 C~2nva 2016 03 11.56297 13 38 55.897 -08 01 34.40 24.9w 15GQ58 568 C~2nva 2016 04 03.45339 13 37 36.538 -07 53 31.55 25.0w 15GQ58 568 C~2nva 2016 04 09.43453 13 37 13.662 -07 51 16.69 24.5w 15GQ58 568 C~2nva 2016 05 02.32746 13 35 45.802 -07 42 53.85 24.8w 15GQ58 568 C~2nva 2016 05 06.33724 13 35 31.137 -07 41 32.48 24.8w 15GQ58 568 C~2nva 2016 05 28.29624 13 34 20.675 -07 35 14.91 24.5w 15GQ58 568 C~2nva 2016 05 28.30839 13 34 20.647 -07 35 14.62 24.7w 15GQ58 568 C~2nva 2016 05 29.31531 13 34 17.911 -07 35 00.80 24.3w 15GQ58 568 C~2nva 2016 06 04.37369 13 34 02.666 -07 33 44.42 24.7w 15GQ58 568 C~2nva 2016 06 27.33366 13 33 25.283 -07 31 01.28 25.0w 15GQ58 568 C~2nva 2016 06 27.34232 13 33 25.259 -07 31 01.21 24.5w 15GQ58 568 C~2nva 2016 07 07.32400 13 33 20.201 -07 30 58.34 24.8w 15GQ58 568 C~2nva 2016 07 07.33209 13 33 20.201 -07 30 58.25 25.3w 15GQ58 568 C~2nva 2017 05 18.26658 13 38 29.783 -07 59 16.67 24.6w 15GQ58 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 0.10 0.00 0.01
2 0.0001 -1.28 0.05 -0.07 -0.13
3 0.0083 -93.75 0.03 6.44 -0.01
4 0.0793 -1236.58 -0.02 50.38 0.01
5 0.0795 -1239.13 0.02 50.41 -0.00
6 0.0848 -1345.60 -0.05 52.75 0.01
7 0.1449 -2644.85 0.00 67.52 -0.02
8 0.1500 -2760.25 -0.15 67.89 0.02
9 0.1501 -2762.91 -0.23 67.86 0.01
10 0.1504 -2769.32 -0.20 67.76 -0.07
11 0.1665 -3133.95 0.24 67.84 0.20
12 0.3415 -6032.86 0.18 -22.77 -0.12
13 0.4180 -6095.15 0.02 -91.98 0.09
14 0.9637 3737.48 0.06 -44.91 -0.10
15 0.9800 3637.99 0.09 -30.68 -0.09
16 0.9802 3636.79 -0.06 -30.34 0.15
17 0.9828 3616.71 0.01 -28.23 0.00
18 1.0622 2568.36 -0.06 27.79 0.08
19 1.1249 1294.48 -0.05 50.67 -0.08
20 1.1413 928.80 -0.05 53.02 -0.01
21 1.2039 -470.42 0.10 47.09 0.10
22 1.2149 -703.08 0.01 43.58 0.03
23 1.2750 -1816.24 0.07 13.74 0.06
24 1.2751 -1816.73 0.11 13.85 0.20
25 1.2778 -1859.65 -0.03 11.89 0.03
26 1.2944 -2098.60 -0.02 0.37 -0.12
27 1.3573 -2675.78 0.04 -50.54 -0.02
28 1.3573 -2676.14 -0.20 -50.60 -0.06
29 1.3846 -2747.23 -0.00 -75.39 -0.12
30 1.3846 -2747.26 -0.02 -75.30 -0.01
31 2.2469 2156.87 -0.01 15.72 -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.
15GQ58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 45.420 45.454 45.388 ecceobj 0.132 0.135 0.130 incobj 2.082 2.082 2.082 qmin 38.998 38.891 39.104 qmax 52.781 52.968 52.616 amean 45.720 45.757 45.687 amin 45.329 45.370 45.311 amax 46.143 46.177 46.119 emean 0.130 0.133 0.127 emin 0.116 0.118 0.113 emax 0.144 0.148 0.141 imean 0.890 0.906 0.884 imin 0.194 0.192 0.196 imax 1.440 1.481 1.425 excite_mean 0.131 0.134 0.129 fracstop 1.000 1.000 1.000 cjmean 3.101 3.101 3.102 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 167.4 167.7 167.7 kozaiamp 179.9 179.9 180.0