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: 15GR58
# Created Wed May 8 01:17:06 2024
# Orbit generated from Bernstein formalism
# Fitting 22 observations of 22
# Arc: 1.38y
# First observation: 2015/02/17
# Last observation: 2016/07/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000169 0.025777 0.000003 -0.000476 0.024930 0.000000
# Chi-squared of fit: 13.55 DOF: 38 RMS: 0.14
# Min/Max residuals: -0.28 0.32
# Exact a, adot, b, bdot, g, gdot:
1.569595E-05 2.566522E-02 -4.709245E-07 -4.749243E-04 2.501568E-02 5.060906E-05
# Covariance matrix:
5.4587E-13 1.8592E-13 -1.9438E-15 -1.3696E-14 6.1626E-13 2.9110E-11
1.8592E-13 6.6436E-13 -1.1279E-15 -1.7421E-14 6.1069E-13 3.5949E-11
-1.9438E-15 -1.1279E-15 1.6184E-13 -1.6018E-13 -2.7086E-15 -7.5205E-14
-1.3696E-14 -1.7421E-14 -1.6018E-13 2.6917E-13 -2.5317E-14 -1.6251E-12
6.1626E-13 6.1069E-13 -2.7086E-15 -2.5317E-14 1.0252E-12 5.3101E-11
2.9110E-11 3.5949E-11 -7.5205E-14 -1.6251E-12 5.3101E-11 3.3293E-09
# lat0 lon0 xBary yBary zBary JD0
2.136091 -154.575012 0.827332 0.020083 -0.534715 2457071.093388
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 349.83227 +/- 1.345
Argument of Peri: 127.86266 +/- 1.608
Long of Asc Node: 88.45741 +/- 0.025
Inclination: 2.34026 +/- 0.001
Eccentricity: 0.08508038 +/- 0.0005
Semi-Major Axis: 44.21171762 +/- 0.0053
Time of Perihelion: 2460103.1767 +/- 401.2
Perihelion: 40.45016774 +/- 0.0218
Aphelion: 47.97326749 +/- 0.0220
Period (y) 293.9776 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -36.91941192 +/- 0.0015
Ecliptic Y -16.63296710 +/- 0.0007
Ecliptic Z 1.48997679 +/- 0.0001
Ecliptic XDOT 0.00119556 +/- 0.0000
Ecliptic YDOT -0.00254567 +/- 0.0000
Ecliptic ZDOT -0.00005164 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.52059479 +/- 0.0014
Geocenter to KBO 39.97492696 +/- 0.0016
# Hcoef: 8.77
The following table shows the complete astrometric record for 15GR58. 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 (15GR58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.59261 13 37 24.028 -07 50 35.23 24.9r 15GR58 568 C~2nva 2015 02 17.63360 13 37 23.934 -07 50 34.73 25.2r 15GR58 568 C~2nva 2015 04 11.50958 13 34 08.158 -07 30 18.14 25.1r 15GR58 568 C~2nva 2015 04 13.37381 13 33 59.422 -07 29 27.44 25.0r 15GR58 568 C~2nva 2015 04 13.41479 13 33 59.232 -07 29 26.37 24.5r 15GR58 568 C~2nva 2015 04 13.51735 13 33 58.737 -07 29 23.54 24.8r 15GR58 568 C~2nva 2015 04 19.41451 13 33 31.131 -07 26 44.03 24.4r 15GR58 568 C~2nva 2015 04 19.53152 13 33 30.534 -07 26 41.09 24.2r 15GR58 568 C~2nva 2015 05 18.33721 13 31 25.229 -07 15 06.80 24.9r 15GR58 568 C~2nva 2015 06 20.28725 13 29 54.955 -07 07 51.11 24.6r 15GR58 568 C~2nva 2015 06 20.32802 13 29 54.890 -07 07 50.94 25.0r 15GR58 568 C~2nva 2015 06 22.33199 13 29 52.095 -07 07 41.33 25.0r 15GR58 568 C~2nva 2015 07 14.28422 13 29 44.271 -07 08 14.14 25.5r 15GR58 568 C~2nva 2016 02 04.61026 13 43 12.266 -08 26 20.35 24.9w 15GR58 568 C~2nva 2016 02 11.59334 13 43 04.975 -08 25 18.09 24.9w 15GR58 568 C~2nva 2016 04 03.45339 13 40 16.014 -08 07 34.53 25.1w 15GR58 568 C~2nva 2016 04 09.43453 13 39 48.420 -08 04 53.97 24.9w 15GR58 568 C~2nva 2016 05 01.46152 13 38 05.936 -07 55 15.61 24.5w 15GR58 568 C~2nva 2016 05 02.33557 13 38 02.041 -07 54 54.00 25.5w 15GR58 568 C~2nva 2016 05 07.33893 13 37 39.955 -07 52 53.55 24.2w 15GR58 568 C~2nva 2016 06 27.33817 13 35 13.676 -07 41 03.13 25.3w 15GR58 568 C~2nva 2016 07 07.32804 13 35 08.521 -07 41 08.57 25.2w 15GR58 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 0.11 0.00 0.04
2 0.0001 -1.48 0.05 -0.04 -0.09
3 0.1449 -3155.21 0.12 75.30 0.08
4 0.1500 -3294.71 -0.18 75.16 -0.09
5 0.1501 -3297.73 -0.09 75.13 -0.10
6 0.1504 -3305.62 -0.18 75.08 -0.09
7 0.1665 -3746.22 0.26 73.91 0.18
8 0.1668 -3755.56 -0.21 73.41 -0.22
9 0.2457 -5745.57 -0.03 38.75 0.27
10 0.3359 -7156.63 -0.07 -47.87 0.06
11 0.3360 -7157.60 -0.06 -48.07 0.00
12 0.3415 -7199.88 0.28 -54.39 0.03
13 0.4016 -7296.31 0.00 -127.66 0.03
14 0.9638 5597.97 -0.03 -133.84 -0.05
15 0.9829 5474.55 -0.04 -114.61 -0.10
16 1.1249 2750.65 -0.08 -25.82 -0.03
17 1.1413 2310.48 -0.11 -24.09 0.05
18 1.2016 681.97 -0.04 -35.62 -0.10
19 1.2040 620.20 0.32 -36.45 0.03
20 1.2176 270.71 0.28 -43.10 -0.05
21 1.3573 -2012.90 -0.01 -170.71 -0.00
22 1.3846 -2082.31 -0.28 -203.67 0.14
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.
15GR58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.775 43.787 43.764 ecceobj 0.077 0.076 0.077 incobj 2.340 2.340 2.340 qmin 39.925 39.942 39.910 qmax 48.466 48.498 48.460 amean 44.068 44.080 44.057 amin 43.722 43.723 43.714 amax 44.436 44.443 44.426 emean 0.075 0.075 0.075 emin 0.058 0.058 0.058 emax 0.091 0.091 0.091 imean 0.749 0.751 0.749 imin 0.145 0.137 0.151 imax 1.173 1.176 1.171 excite_mean 0.076 0.076 0.076 fracstop 1.000 1.000 1.000 cjmean 3.095 3.095 3.095 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 199.7 199.7 198.9 kozaiamp 179.9 180.0 180.0