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: 15GR65
# Created Wed May 8 01:17:06 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 21
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000067 0.028972 0.000002 0.000334 0.027754 0.000000
# Chi-squared of fit: 7.64 DOF: 36 RMS: 0.11
# Min/Max residuals: -0.23 0.29
# Exact a, adot, b, bdot, g, gdot:
1.494589E-05 2.858982E-02 3.987990E-07 3.247895E-04 2.764245E-02 -7.711973E-03
# Covariance matrix:
2.7475E-13 3.8473E-14 -2.0695E-15 2.1319E-15 2.3259E-13 2.4824E-12
3.8473E-14 6.0727E-13 -4.6441E-15 1.1767E-14 3.9489E-13 1.3900E-11
-2.0695E-15 -4.6441E-15 1.3180E-13 -9.4429E-14 -4.7833E-15 -1.2778E-13
2.1319E-15 1.1767E-14 -9.4429E-14 1.4061E-13 8.5626E-15 3.6722E-13
2.3259E-13 3.9489E-13 -4.7833E-15 8.5626E-15 4.7143E-13 1.0074E-11
2.4824E-12 1.3900E-11 -1.2778E-13 3.6722E-13 1.0074E-11 4.3432E-10
# lat0 lon0 xBary yBary zBary JD0
1.918345 -153.954366 0.833080 0.017750 -0.525799 2457071.093388
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 299.81679 +/- 0.059
Argument of Peri: 163.04593 +/- 0.023
Long of Asc Node: 134.74102 +/- 0.020
Inclination: 2.01146 +/- 0.000
Eccentricity: 0.28785407 +/- 0.0007
Semi-Major Axis: 39.42125120 +/- 0.0177
Time of Perihelion: 2472184.0637 +/- 10.9
Perihelion: 28.07368368 +/- 0.0312
Aphelion: 50.76881871 +/- 0.0366
Period (y) 247.5163 +/- 0.17
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -33.32537894 +/- 0.0008
Ecliptic Y -15.35802201 +/- 0.0004
Ecliptic Z 1.21102386 +/- 0.0000
Ecliptic XDOT 0.00192655 +/- 0.0000
Ecliptic YDOT -0.00221401 +/- 0.0000
Ecliptic ZDOT 0.00000667 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 36.71397963 +/- 0.0008
Geocenter to KBO 36.17623704 +/- 0.0009
# Hcoef: 9.02
The following table shows the complete astrometric record for 15GR65. 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 (15GR65) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.59261 13 39 25.083 -08 16 14.06 24.9r 15GR65 568 C~4n9b 2015 02 17.63360 13 39 24.975 -08 16 13.39 24.6r 15GR65 568 C~4n9b 2015 03 18.57107 13 37 46.958 -08 05 31.87 24.8r 15GR65 568 C~4n9b 2015 03 18.61845 13 37 46.740 -08 05 30.54 24.6r 15GR65 568 C~4n9b 2015 03 20.57526 13 37 38.034 -08 04 36.61 24.6r 15GR65 568 C~4n9b 2015 04 11.50958 13 35 50.411 -07 53 47.34 24.2r 15GR65 568 C~4n9b 2015 04 13.37381 13 35 40.769 -07 52 50.52 24.7r 15GR65 568 C~4n9b 2015 04 13.41478 13 35 40.555 -07 52 49.42 24.4r 15GR65 568 C~4n9b 2015 04 13.51734 13 35 40.010 -07 52 46.20 24.6r 15GR65 568 C~4n9b 2015 05 18.33721 13 32 49.756 -07 36 38.09 24.8r 15GR65 568 C~4n9b 2015 06 22.33199 13 31 05.822 -07 27 53.37 25.4r 15GR65 568 C~4n9b 2015 07 14.28421 13 30 56.652 -07 28 07.93 24.6r 15GR65 568 C~4n9b 2015 07 20.27720 13 31 02.480 -07 29 01.31 24.8r 15GR65 568 C~4n9b 2016 04 03.47362 13 42 47.233 -08 32 35.94 24.6w 15GR65 568 C~4n9b 2016 04 09.45477 13 42 16.591 -08 29 36.04 24.8w 15GR65 568 C~4n9b 2016 05 01.46152 13 40 22.472 -08 18 42.83 24.5w 15GR65 568 C~4n9b 2016 05 02.33557 13 40 18.071 -08 18 18.58 25.1w 15GR65 568 C~4n9b 2016 05 07.33893 13 39 53.371 -08 16 00.96 24.5w 15GR65 568 C~4n9b 2016 06 27.33817 13 37 08.652 -08 02 07.02 24.7w 15GR65 568 C~4n9b 2017 03 30.49709 13 49 35.771 -09 10 00.02 24.8w 15GR65 568 C~4n9b 2017 06 25.27772 13 43 29.490 -08 37 11.41 24.3w 15GR65 568 C~4n9b
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 0.29 0.00 -0.04
2 0.0001 -1.74 0.08 0.05 -0.10
3 0.0793 -1590.56 -0.02 71.90 0.07
4 0.0795 -1594.06 -0.11 71.97 0.07
5 0.0848 -1734.11 -0.13 75.42 0.01
6 0.1449 -3459.71 0.04 100.68 0.07
7 0.1500 -3613.87 -0.12 101.59 0.02
8 0.1501 -3617.24 -0.04 101.46 -0.11
9 0.1504 -3625.95 -0.13 101.52 -0.04
10 0.2457 -6336.88 -0.07 81.93 -0.08
11 0.3415 -7969.25 0.06 5.75 0.15
12 0.4016 -8091.04 0.18 -57.73 0.11
13 0.4180 -7990.69 -0.01 -75.72 -0.00
14 1.1249 3152.24 -0.05 164.32 -0.00
15 1.1413 2663.30 -0.05 168.89 -0.16
16 1.2016 848.13 0.13 168.65 0.17
17 1.2040 778.46 0.00 167.71 -0.23
18 1.2176 386.86 -0.10 163.80 0.12
19 1.3573 -2195.09 0.04 56.74 -0.03
20 2.1134 9616.09 0.06 230.00 -0.13
21 2.3510 3836.31 -0.05 132.16 0.15
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.
15GR65 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.096 39.137 39.055 ecceobj 0.289 0.291 0.287 incobj 2.015 2.014 2.015 qmin 27.355 27.246 27.427 qmax 52.381 52.344 52.372 amean 39.455 39.455 39.456 amin 38.954 38.980 38.927 amax 40.075 40.036 40.102 emean 0.292 0.294 0.291 emin 0.280 0.281 0.277 emax 0.308 0.308 0.306 imean 1.174 1.160 1.167 imin 0.888 0.889 0.730 imax 1.535 1.475 1.588 excite_mean 0.293 0.295 0.292 fracstop 1.000 1.000 1.000 cjmean 2.952 2.951 2.953 libcent 0 179.9 180.5 179.8 libamp 0 93.7 86.7 114.8 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 115.2 128.2 152.8 kozaiamp 108.5 179.9 79.0