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: 15GM56
# Created Sun Nov 24 02:10:17 2024
# Orbit generated from Bernstein formalism
# Fitting 32 observations of 33
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000116 0.024021 0.000001 0.000542 0.024092 0.000000
# Chi-squared of fit: 6.30 DOF: 58 RMS: 0.08
# Min/Max residuals: -0.20 0.20
# Exact a, adot, b, bdot, g, gdot:
1.596865E-05 2.390781E-02 -1.716900E-07 5.395012E-04 2.414871E-02 -1.594654E-04
# Covariance matrix:
2.1339E-13 -3.3386E-15 -1.3806E-15 3.6340E-15 1.6643E-13 3.4567E-12
-3.3386E-15 2.8673E-13 -2.2512E-15 7.8098E-15 1.8410E-13 7.7767E-12
-1.3806E-15 -2.2512E-15 1.0565E-13 -9.1182E-14 -2.8430E-15 -1.1685E-13
3.6340E-15 7.8098E-15 -9.1182E-14 1.3864E-13 8.6715E-15 4.2886E-13
1.6643E-13 1.8410E-13 -2.8430E-15 8.6715E-15 2.8767E-13 8.4679E-12
3.4567E-12 7.7767E-12 -1.1685E-13 4.2886E-13 8.4679E-12 4.3033E-10
# lat0 lon0 xBary yBary zBary JD0
1.529007 -157.084530 0.804152 0.015340 -0.569121 2457070.990628
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 333.99613 +/- 0.789
Argument of Peri: 77.59192 +/- 0.888
Long of Asc Node: 153.00125 +/- 0.019
Inclination: 2.00325 +/- 0.001
Eccentricity: 0.05172429 +/- 0.0004
Semi-Major Axis: 44.01119183 +/- 0.0034
Time of Perihelion: 2464773.8306 +/- 233.8
Perihelion: 41.73474406 +/- 0.0190
Aphelion: 46.28763961 +/- 0.0191
Period (y) 291.9799 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -38.96870234 +/- 0.0009
Ecliptic Y -15.59921394 +/- 0.0003
Ecliptic Z 1.10493262 +/- 0.0000
Ecliptic XDOT 0.00106991 +/- 0.0000
Ecliptic YDOT -0.00249452 +/- 0.0000
Ecliptic ZDOT 0.00006075 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.98947623 +/- 0.0008
Geocenter to KBO 41.41007843 +/- 0.0009
# Hcoef: 8.18
The following table shows the complete astrometric record for 15GM56. 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 (15GM56) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.48985 13 27 04.975 -07 29 22.76 24.2r 15GM56 568 C~2nvS 2015 02 17.53111 13 27 04.883 -07 29 22.17 24.5r 15GM56 568 C~2nvS 2015 02 20.46189 13 26 58.142 -07 28 35.50 24.6r 15GM56 568 C~2nvS 2015 03 18.45830 13 25 33.089 -07 19 22.27 23.9r 15GM56 568 C~2nvS 2015 03 20.51135 13 25 24.817 -07 18 30.39 24.4r 15GM56 568 C~2nvS 2015 04 11.40216 13 23 49.388 -07 08 43.29 24.2r 15GM56 568 C~2nvS 2015 04 12.35479 13 23 45.075 -07 08 17.08 24.4r 15GM56 568 C~2nvS 2015 04 12.39573 13 23 44.872 -07 08 15.91 24.1r 15GM56 568 C~2nvS 2015 04 12.44139 13 23 44.665 -07 08 14.12 24.0r 15GM56 568 C~2nvS 2015 04 14.45255 13 23 35.565 -07 07 19.68 24.3r 15GM56 568 C~2nvS 2015 04 18.41130 13 23 17.684 -07 05 32.20 24.1r 15GM56 568 C~2nvS 2015 04 18.45422 13 23 17.497 -07 05 31.17 24.6r 15GM56 568 C~2nvS 2015 05 16.25241 13 21 21.578 -06 54 11.18 24.2r 15GM56 568 C~2nvS 2015 05 25.36134 13 20 50.622 -06 51 16.26 24.7r 15GM56 568 C~2nvS 2015 05 25.40527 13 20 50.478 -06 51 15.55 24.3r 15GM56 568 C~2nvS 2015 06 21.31362 13 19 51.677 -06 46 07.00 24.3r 15GM56 568 C~2nvS 2015 06 22.27001 13 19 50.628 -06 46 02.44 24.4r 15GM56 568 C~2nvS 2015 07 12.26411 13 19 46.350 -06 46 16.77 24.5r 15GM56 568 C~2nvS 2015 07 19.25345 13 19 53.011 -06 47 11.19 24.4r 15GM56 568 C~2nvS 2016 02 04.55115 13 32 37.010 -08 00 30.37 24.9w 15GM56 568 C~2nvS 2016 02 10.53908 13 32 29.725 -07 59 31.96 24.8w 15GM56 568 C~2nvS 2016 03 11.54027 13 31 10.627 -07 50 43.04 24.6w 15GM56 568 C~2nvS 2016 04 03.44126 13 29 36.558 -07 41 01.54 24.6w 15GM56 568 C~2nvS 2016 04 09.42106 13 29 09.691 -07 38 19.53 24.6w 15GM56 568 C~2nvS 2016 05 02.29905 13 27 27.719 -07 28 17.21 24.2w 15GM56 568 C~2nvS 2016 05 06.30882 13 27 10.925 -07 26 40.38 24.7w 15GM56 568 C~2nvS 2016 05 28.27599 13 25 51.675 -07 19 13.74 24.8w 15GM56 568 C~2nvS 2016 05 28.28814 13 25 51.640 -07 19 13.52 24.4w 15GM56 568 C~2nvS 2016 06 04.35749 13 25 32.105 -07 17 28.34 24.4w 15GM56 568 C~2nvS 2016 06 27.28082 13 24 54.590 -07 14 27.75 25.0w 15GM56 568 C~2nvS 2016 07 06.31671 13 24 51.728 -07 14 29.33 24.5w 15GM56 568 C~2nvS 2016 07 07.28338 13 24 51.847 -07 14 32.13 25.1w 15GM56 568 C~2nvS 2017 03 29.45461 13 35 15.464 -08 12 09.12 24.6w 15GM56 568 C~2nvS
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 -0.06 0.00 0.11
2 0.0001 -1.49 -0.03 0.04 0.08
3 0.0081 -111.89 0.05 6.36 0.01
4 0.0793 -1492.00 0.02 52.26 -0.04
5 0.0849 -1625.54 -0.01 54.87 -0.09
6 0.1449 -3162.28 0.20 73.53 -0.16
7 0.1475 -3231.63 0.06 74.04 -0.06
8 0.1476 -3234.87 -0.16 74.01 -0.09
9 0.1477 -3238.40 ( -0.31) 74.52 ( 0.43)
10 0.1532 -3384.41 -0.06 74.78 0.02
11 0.1641 -3671.53 -0.09 75.72 0.08
12 0.1642 -3674.50 0.09 75.64 0.01
13 0.2403 -5530.36 0.03 64.89 0.06
14 0.2652 -6023.73 0.04 55.47 0.12
15 0.2653 -6025.99 0.02 55.33 0.04
16 0.3390 -6954.58 -0.05 14.99 -0.03
17 0.3416 -6970.80 0.00 13.39 0.04
18 0.3964 -7024.63 0.06 -23.71 0.09
19 0.4155 -6912.15 -0.13 -37.18 -0.07
20 0.9639 5277.14 -0.02 79.79 -0.04
21 0.9803 5154.97 0.05 94.47 0.07
22 1.0624 3867.09 -0.04 155.28 0.02
23 1.1251 2352.76 0.04 181.86 -0.11
24 1.1415 1921.72 0.01 185.38 -0.16
25 1.2041 290.11 -0.14 185.88 0.00
26 1.2151 22.23 -0.04 183.59 -0.20
27 1.2753 -1238.28 0.03 162.57 -0.04
28 1.2753 -1238.84 0.06 162.58 -0.01
29 1.2946 -1547.79 0.11 152.67 0.03
30 1.3574 -2133.23 0.02 113.59 0.09
31 1.3821 -2172.20 -0.06 96.33 0.14
32 1.3848 -2169.52 -0.01 94.39 0.06
33 2.1108 7725.20 -0.00 290.26 0.05
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.
15GM56 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.591 43.600 43.583 ecceobj 0.045 0.045 0.044 incobj 2.010 2.010 2.010 qmin 41.153 41.177 41.163 qmax 46.793 46.803 46.747 amean 43.874 43.882 43.866 amin 43.528 43.541 43.528 amax 44.234 44.240 44.222 emean 0.042 0.042 0.042 emin 0.025 0.026 0.026 emax 0.058 0.058 0.058 imean 2.103 2.102 2.105 imin 1.434 1.434 1.434 imax 2.752 2.750 2.756 excite_mean 0.057 0.057 0.056 fracstop 1.000 1.000 1.000 cjmean 3.096 3.096 3.096 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 171.2 171.2 171.6 kozaiamp 179.9 180.0 180.0