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: 15GK58
# Created Sun Nov 24 02:10:18 2024
# Orbit generated from Bernstein formalism
# Fitting 27 observations of 27
# Arc: 2.25y
# First observation: 2015/02/17
# Last observation: 2017/05/18
Preliminary a, adot, b, bdot, g, gdot:
-0.000109 0.020728 0.000002 0.001915 0.022394 0.000000
# Chi-squared of fit: 7.30 DOF: 48 RMS: 0.09
# Min/Max residuals: -0.21 0.24
# Exact a, adot, b, bdot, g, gdot:
1.458833E-05 2.069821E-02 2.116096E-06 1.910559E-03 2.252034E-02 2.254522E-03
# Covariance matrix:
1.7833E-13 -6.3321E-14 -1.1667E-15 3.0093E-15 1.0613E-13 8.1037E-13
-6.3321E-14 4.6135E-13 -1.2820E-14 5.2271E-14 2.2662E-13 1.3383E-11
-1.1667E-15 -1.2820E-14 1.1759E-13 -8.9111E-14 -8.9370E-15 -5.0303E-13
3.0093E-15 5.2271E-14 -8.9111E-14 1.2868E-13 3.3789E-14 2.0546E-12
1.0613E-13 2.2662E-13 -8.9370E-15 3.3789E-14 2.8760E-13 8.7115E-12
8.1037E-13 1.3383E-11 -5.0303E-13 2.0546E-12 8.7115E-12 5.2597E-10
# lat0 lon0 xBary yBary zBary JD0
1.762030 -155.139937 0.822095 0.016839 -0.542843 2457071.085238
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 94.17884 +/- 0.226
Argument of Peri: 273.58854 +/- 0.197
Long of Asc Node: 185.64652 +/- 0.003
Inclination: 5.56733 +/- 0.001
Eccentricity: 0.09294772 +/- 0.0010
Semi-Major Axis: 44.28250861 +/- 0.0103
Time of Perihelion: 2428912.7732 +/- 67.0
Perihelion: 40.16655057 +/- 0.0464
Aphelion: 48.39846665 +/- 0.0468
Period (y) 294.6840 +/- 0.10
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.11176531 +/- 0.0010
Ecliptic Y -18.14128938 +/- 0.0004
Ecliptic Z 1.36545621 +/- 0.0000
Ecliptic XDOT 0.00081213 +/- 0.0000
Ecliptic YDOT -0.00240090 +/- 0.0000
Ecliptic ZDOT 0.00024068 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.95718072 +/- 0.0009
Geocenter to KBO 44.40430251 +/- 0.0011
# Hcoef: 7.89
The following table shows the complete astrometric record for 15GK58. 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 (15GK58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.58446 13 34 43.631 -07 59 10.77 24.1r 15GK58 568 C~2nvZ 2015 02 17.62541 13 34 43.550 -07 59 10.00 24.4r 15GK58 568 C~2nvZ 2015 02 20.61856 13 34 37.413 -07 58 24.21 24.6r 15GK58 568 C~2nvZ 2015 03 18.56291 13 33 19.891 -07 49 37.20 24.3r 15GK58 568 C~2nvZ 2015 03 18.60407 13 33 19.738 -07 49 36.21 24.4r 15GK58 568 C~2nvZ 2015 03 20.56704 13 33 12.435 -07 48 48.88 24.6r 15GK58 568 C~2nvZ 2015 04 11.50134 13 31 43.164 -07 39 26.20 24.6r 15GK58 568 C~2nvZ 2015 04 13.36562 13 31 35.237 -07 38 37.21 24.2r 15GK58 568 C~2nvZ 2015 04 13.40656 13 31 35.072 -07 38 36.08 24.4r 15GK58 568 C~2nvZ 2015 04 13.50913 13 31 34.627 -07 38 33.42 24.7r 15GK58 568 C~2nvZ 2015 05 18.32905 13 29 15.329 -07 24 38.65 25.0r 15GK58 568 C~2nvZ 2015 06 22.32371 13 27 51.059 -07 16 51.10 24.9r 15GK58 568 C~2nvZ 2015 07 14.27603 13 27 43.892 -07 16 39.15 24.2r 15GK58 568 C~2nvZ 2015 07 20.26893 13 27 48.760 -07 17 16.24 24.3r 15GK58 568 C~2nvZ 2016 02 04.56733 13 39 38.626 -08 21 23.87 24.7w 15GK58 568 C~2nvZ 2016 02 04.59812 13 39 38.595 -08 21 23.69 24.9w 15GK58 568 C~2nvZ 2016 02 10.61713 13 39 32.397 -08 20 25.42 23.9w 15GK58 568 C~2nvZ 2016 02 11.57713 13 39 31.141 -08 20 14.78 23.5w 15GK58 568 C~2nvZ 2016 03 11.56702 13 38 21.259 -08 11 57.14 24.4w 15GK58 568 C~2nvZ 2016 04 03.45339 13 36 54.228 -08 02 41.70 24.5w 15GK58 568 C~2nvZ 2016 04 09.43453 13 36 29.098 -08 00 06.58 24.5w 15GK58 568 C~2nvZ 2016 05 02.32746 13 34 52.713 -07 50 26.36 24.6w 15GK58 568 C~2nvZ 2016 05 06.33724 13 34 36.681 -07 48 52.19 24.5w 15GK58 568 C~2nvZ 2016 05 28.30028 13 33 20.018 -07 41 32.04 25.2w 15GK58 568 C~2nvZ 2017 02 24.64707 13 43 42.713 -08 36 28.33 15GK58 568 C~2nvZ 2017 03 29.46871 13 41 55.324 -08 24 42.66 24.1w 15GK58 568 C~2nvZ 2017 05 18.26658 13 38 32.174 -08 04 34.69 25.3w 15GK58 568 C~2nvZ
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 -0.01 0.00 -0.16
2 0.0001 -1.40 -0.05 0.28 0.01
3 0.0083 -102.98 0.08 9.69 0.05
4 0.0793 -1367.68 -0.06 80.11 -0.04
5 0.0795 -1370.16 -0.04 80.20 -0.03
6 0.0848 -1488.48 0.01 84.62 -0.02
7 0.1449 -2929.39 -0.08 123.08 -0.11
8 0.1500 -3057.02 -0.00 125.52 -0.07
9 0.1501 -3059.72 0.15 125.67 0.05
10 0.1504 -3066.85 0.17 125.72 0.02
11 0.2457 -5301.07 -0.09 142.48 0.24
12 0.3415 -6639.96 -0.04 116.16 -0.05
13 0.4016 -6743.61 -0.21 87.99 -0.12
14 0.4180 -6662.53 0.21 80.17 0.16
15 0.9637 4565.88 0.05 348.04 0.09
16 0.9638 4565.38 0.01 348.04 -0.00
17 0.9802 4458.50 -0.14 369.10 0.12
18 0.9829 4437.26 -0.01 372.28 -0.01
19 1.0622 3289.73 0.08 460.61 0.00
20 1.1249 1883.67 0.04 509.32 0.03
21 1.1413 1479.53 -0.01 518.21 -0.02
22 1.2040 -65.45 -0.11 537.52 -0.01
23 1.2149 -321.62 -0.05 538.39 -0.10
24 1.2751 -1543.13 0.09 532.46 0.05
25 2.0207 8273.46 -0.02 809.87 -0.10
26 2.1106 6530.90 0.04 895.14 -0.13
27 2.2469 3280.49 0.00 931.79 0.13
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.
15GK58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.877 43.907 43.846 ecceobj 0.093 0.096 0.091 incobj 5.595 5.595 5.595 qmin 39.033 38.975 39.101 qmax 49.501 49.709 49.343 amean 44.142 44.173 44.111 amin 43.794 43.811 43.761 amax 44.524 44.563 44.493 emean 0.096 0.099 0.094 emin 0.082 0.083 0.079 emax 0.112 0.115 0.110 imean 6.067 6.062 6.067 imin 5.417 5.407 5.419 imax 6.816 6.819 6.811 excite_mean 0.143 0.145 0.141 fracstop 1.000 1.000 1.000 cjmean 3.079 3.078 3.079 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 182.3 182.8 182.3 kozaiamp 180.0 180.0 179.9