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: 15GR56
# Created Sun Nov 24 02:10:17 2024
# Orbit generated from Bernstein formalism
# Fitting 35 observations of 35
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000130 0.020965 0.000001 -0.000447 0.022442 0.000000
# Chi-squared of fit: 4.94 DOF: 64 RMS: 0.07
# Min/Max residuals: -0.19 0.16
# Exact a, adot, b, bdot, g, gdot:
1.503197E-05 2.086138E-02 3.270151E-08 -4.452242E-04 2.250354E-02 9.509170E-04
# Covariance matrix:
1.8812E-13 1.9796E-15 2.5361E-16 -2.5746E-15 1.6120E-13 3.8088E-12
1.9796E-15 2.7532E-13 8.4651E-16 -5.9149E-15 1.6759E-13 8.5870E-12
2.5361E-16 8.4651E-16 8.3254E-14 -7.5984E-14 7.8931E-16 5.7307E-14
-2.5746E-15 -5.9149E-15 -7.5984E-14 1.3892E-13 -6.3868E-15 -3.8599E-13
1.6120E-13 1.6759E-13 7.8931E-16 -6.3868E-15 2.7681E-13 9.3492E-12
3.8088E-12 8.5870E-12 5.7307E-14 -3.8599E-13 9.3492E-12 5.5909E-10
# lat0 lon0 xBary yBary zBary JD0
0.347271 -155.767558 0.816984 0.003486 -0.550744 2457070.994728
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 115.23368 +/- 0.967
Argument of Peri: 45.60003 +/- 0.960
Long of Asc Node: 38.98374 +/- 0.012
Inclination: 1.25985 +/- 0.001
Eccentricity: 0.03308410 +/- 0.0010
Semi-Major Axis: 44.33396323 +/- 0.0042
Time of Perihelion: 2422557.6999 +/- 289.6
Perihelion: 42.86721377 +/- 0.0430
Aphelion: 45.80071269 +/- 0.0430
Period (y) 295.1977 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.36153311 +/- 0.0010
Ecliptic Y -17.71961406 +/- 0.0004
Ecliptic Z 0.26932921 +/- 0.0000
Ecliptic XDOT 0.00093227 +/- 0.0000
Ecliptic YDOT -0.00236761 +/- 0.0000
Ecliptic ZDOT -0.00005337 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 44.99815198 +/- 0.0009
Geocenter to KBO 44.43745992 +/- 0.0010
# Hcoef: 7.56
The following table shows the complete astrometric record for 15GR56. 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 (15GR56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.49395 13 30 16.280 -09 04 24.23 24.1r 15GR56 568 C~2nvT 2015 02 17.53521 13 30 16.198 -09 04 23.67 23.9r 15GR56 568 C~2nvT 2015 02 20.46602 13 30 09.879 -09 03 46.17 24.2r 15GR56 568 C~2nvT 2015 03 18.46248 13 28 49.845 -08 55 55.37 24.1r 15GR56 568 C~2nvT 2015 03 18.51370 13 28 49.655 -08 55 54.44 24.0r 15GR56 568 C~2nvT 2015 03 20.51543 13 28 42.050 -08 55 09.87 24.1r 15GR56 568 C~2nvT 2015 04 11.40623 13 27 11.739 -08 46 21.79 23.7r 15GR56 568 C~2nvT 2015 04 12.35891 13 27 07.653 -08 45 57.91 23.9r 15GR56 568 C~2nvT 2015 04 12.39987 13 27 07.464 -08 45 56.90 23.9r 15GR56 568 C~2nvT 2015 04 12.44684 13 27 07.263 -08 45 55.79 23.9r 15GR56 568 C~2nvT 2015 04 13.12231 13 27 04.36 -08 45 38.6 15GR56 W84 C~3jdt 2015 04 13.21165 13 27 03.98 -08 45 36.3 24.8V 15GR56 W84 C~3jdt 2015 04 13.30360 13 27 03.57 -08 45 33.9 15GR56 W84 C~3jdt 2015 04 14.45679 13 26 58.624 -08 45 05.35 24.0r 15GR56 568 C~2nvT 2015 04 16.40115 13 26 50.255 -08 44 16.65 23.4r 15GR56 568 C~2nvT 2015 05 16.26178 13 24 50.465 -08 32 41.04 23.9r 15GR56 568 C~2nvT 2015 05 25.36747 13 24 20.480 -08 29 48.55 24.1r 15GR56 568 C~2nvT 2015 05 25.40947 13 24 20.346 -08 29 47.82 24.4r 15GR56 568 C~2nvT 2015 05 25.42508 13 24 20.289 -08 29 47.54 24.1r 15GR56 568 C~2nvT 2015 06 21.31770 13 23 21.864 -08 24 18.69 24.3r 15GR56 568 C~2nvT 2015 06 22.27415 13 23 20.749 -08 24 12.77 24.2r 15GR56 568 C~2nvT 2015 07 12.26825 13 23 13.964 -08 23 47.33 24.2r 15GR56 568 C~2nvT 2015 07 19.25818 13 23 19.259 -08 24 24.03 24.1r 15GR56 568 C~2nvT 2016 02 04.57558 13 35 03.854 -09 33 57.61 24.2w 15GR56 568 C~2nvT 2016 02 10.56342 13 34 56.949 -09 33 16.78 24.6w 15GR56 568 C~2nvT 2016 03 11.55881 13 33 42.351 -09 26 01.74 24.0w 15GR56 568 C~2nvT 2016 04 03.44530 13 32 13.494 -09 17 27.29 24.0w 15GR56 568 C~2nvT 2016 04 09.42510 13 31 48.050 -09 15 00.35 24.2w 15GR56 568 C~2nvT 2016 05 02.32341 13 30 11.021 -09 05 41.09 24.1w 15GR56 568 C~2nvT 2016 05 06.33319 13 29 54.967 -09 04 08.77 24.2w 15GR56 568 C~2nvT 2016 05 28.28409 13 28 38.772 -08 56 53.57 24.4w 15GR56 568 C~2nvT 2016 06 04.36558 13 28 19.676 -08 55 05.76 24.2w 15GR56 568 C~2nvT 2016 06 27.29295 13 27 41.873 -08 51 38.76 24.5w 15GR56 568 C~2nvT 2016 07 07.29554 13 27 38.072 -08 51 23.58 24.4w 15GR56 568 C~2nvT 2017 03 29.44993 13 37 06.783 -09 47 23.70 24.2w 15GR56 568 C~2nvT
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 -0.08 0.00 -0.07
2 0.0001 -1.34 -0.02 0.07 0.02
3 0.0081 -102.17 0.03 0.57 0.05
4 0.0793 -1377.97 -0.19 2.23 0.12
5 0.0795 -1380.93 -0.02 2.06 -0.03
6 0.0849 -1502.12 -0.04 1.99 -0.02
7 0.1449 -2941.25 0.08 -0.80 0.01
8 0.1475 -3006.37 0.12 -0.97 0.03
9 0.1476 -3009.35 -0.01 -1.07 -0.04
10 0.1477 -3012.53 0.08 -1.14 -0.08
11 0.1496 -3058.88 -0.03 -1.06 -0.03
12 0.1498 -3064.97 0.09 -1.00 0.08
13 0.1501 -3071.50 -0.06 -1.02 0.12
14 0.1532 -3150.21 0.11 -1.57 -0.02
15 0.1585 -3283.53 -0.09 -2.15 -0.13
16 0.2403 -5192.10 0.09 -13.39 -0.01
17 0.2652 -5669.49 0.03 -18.16 0.04
18 0.2653 -5671.61 -0.01 -18.22 0.02
19 0.2654 -5672.50 -0.13 -18.27 -0.03
20 0.3390 -6600.32 -0.02 -34.79 0.01
21 0.3416 -6617.90 0.03 -35.45 -0.01
22 0.3964 -6720.93 -0.06 -49.25 -0.03
23 0.4155 -6634.26 0.04 -54.12 -0.03
24 0.9639 4611.11 -0.00 -93.59 0.04
25 0.9803 4501.06 -0.02 -92.76 -0.09
26 1.0625 3314.34 0.13 -90.13 0.07
27 1.1251 1901.97 -0.02 -92.05 0.01
28 1.1415 1497.63 0.05 -93.26 -0.04
29 1.2042 -44.21 0.16 -100.10 -0.02
30 1.2152 -299.29 -0.05 -101.62 0.09
31 1.2753 -1509.09 0.02 -112.31 -0.00
32 1.2947 -1811.89 -0.10 -116.35 0.01
33 1.3574 -2409.03 -0.01 -130.53 0.05
34 1.3848 -2467.00 -0.06 -137.21 -0.04
35 2.1108 6598.95 -0.06 -183.91 -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.
15GR56 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.928 43.942 43.914 ecceobj 0.037 0.039 0.035 incobj 1.265 1.265 1.265 qmin 41.575 41.490 41.629 qmax 47.029 47.099 46.931 amean 44.203 44.218 44.190 amin 43.861 43.879 43.849 amax 44.563 44.568 44.539 emean 0.040 0.042 0.038 emin 0.025 0.027 0.023 emax 0.056 0.057 0.054 imean 1.398 1.398 1.398 imin 0.674 0.675 0.674 imax 1.906 1.904 1.907 excite_mean 0.048 0.049 0.046 fracstop 1.000 1.000 1.000 cjmean 3.101 3.101 3.101 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 173.5 172.2 174.8 kozaiamp 180.0 180.0 180.0