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: 15GM55
# Created Thu Apr 25 01:17:04 2024
# Orbit generated from Bernstein formalism
# Fitting 27 observations of 27
# Arc: 2.12y
# First observation: 2015/02/17
# Last observation: 2017/03/31
Preliminary a, adot, b, bdot, g, gdot:
-0.000195 0.041923 -0.000002 -0.006652 0.031933 0.000000
# Chi-squared of fit: 8.52 DOF: 48 RMS: 0.10
# Min/Max residuals: -0.33 0.25
# Exact a, adot, b, bdot, g, gdot:
2.034726E-05 4.174848E-02 -3.523851E-06 -6.650635E-03 3.199498E-02 5.466955E-03
# Covariance matrix:
2.2074E-13 -4.6687E-14 2.1551E-15 -1.2421E-14 1.3429E-13 1.1666E-12
-4.6687E-14 5.4241E-13 1.8208E-14 -9.3998E-14 2.4734E-13 8.7083E-12
2.1551E-15 1.8208E-14 1.3292E-13 -1.1757E-13 1.0674E-14 4.2352E-13
-1.2421E-14 -9.3998E-14 -1.1757E-13 1.8727E-13 -5.6632E-14 -2.1804E-12
1.3429E-13 2.4734E-13 1.0674E-14 -5.6632E-14 2.6891E-13 5.2653E-12
1.1666E-12 8.7083E-12 4.2352E-13 -2.1804E-12 5.2653E-12 2.0193E-10
# lat0 lon0 xBary yBary zBary JD0
0.714720 -152.725733 0.844799 0.006471 -0.507023 2457071.023648
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 6.85509 +/- 0.019
Argument of Peri: 156.00408 +/- 0.057
Long of Asc Node: 30.17950 +/- 0.000
Inclination: 9.02166 +/- 0.001
Eccentricity: 0.44184003 +/- 0.0002
Semi-Major Axis: 55.92759376 +/- 0.0122
Time of Perihelion: 2454161.4688 +/- 8.0
Perihelion: 31.21654394 +/- 0.0122
Aphelion: 80.63864358 +/- 0.0203
Period (y) 418.2610 +/- 0.14
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -28.61847047 +/- 0.0005
Ecliptic Y -13.80290992 +/- 0.0002
Ecliptic Z 0.38975638 +/- 0.0000
Ecliptic XDOT 0.00121135 +/- 0.0000
Ecliptic YDOT -0.00339848 +/- 0.0000
Ecliptic ZDOT -0.00056313 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 31.77560518 +/- 0.0004
Geocenter to KBO 31.25490258 +/- 0.0005
# Hcoef: 9.39
The following table shows the complete astrometric record for 15GM55. 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 (15GM55) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.52287 13 42 18.287 -09 50 08.38 24.5r 15GM55 568 C~2lVB 2015 02 17.56399 13 42 18.184 -09 50 08.15 24.5r 15GM55 568 C~2lVB 2015 02 20.59770 13 42 10.870 -09 49 34.88 24.4r 15GM55 568 C~2lVB 2015 03 20.54594 13 40 22.345 -09 40 41.41 23.4r 15GM55 568 C~2lVB 2015 04 11.48071 13 38 22.476 -09 30 35.35 24.2r 15GM55 568 C~2lVB 2015 04 12.38760 13 38 17.253 -09 30 08.78 24.3r 15GM55 568 C~2lVB 2015 04 12.43323 13 38 16.981 -09 30 07.36 24.6r 15GM55 568 C~2lVB 2015 04 12.47547 13 38 16.723 -09 30 05.88 24.4r 15GM55 568 C~2lVB 2015 05 17.25497 13 35 05.079 -09 14 13.24 24.3r 15GM55 568 C~2lVB 2015 05 25.39688 13 34 28.246 -09 11 19.00 24.3r 15GM55 568 C~2lVB 2015 05 25.45500 13 34 27.989 -09 11 17.87 24.7r 15GM55 568 C~2lVB 2015 06 21.34643 13 33 07.114 -09 05 42.79 24.7r 15GM55 568 C~2lVB 2015 06 22.30309 13 33 05.574 -09 05 38.66 24.6r 15GM55 568 C~2lVB 2015 07 12.29701 13 32 56.892 -09 06 30.39 24.6r 15GM55 568 C~2lVB 2016 02 04.63543 13 51 04.952 -11 03 00.78 25.1w 15GM55 568 C~2lVB 2016 02 11.61375 13 50 58.908 -11 02 50.09 25.0w 15GM55 568 C~2lVB 2016 03 11.61710 13 49 36.100 -10 56 50.53 24.8w 15GM55 568 C~2lVB 2016 03 12.48956 13 49 32.394 -10 56 32.74 24.4w 15GM55 568 C~2lVB 2016 04 03.48576 13 47 41.856 -10 47 38.87 24.4w 15GM55 568 C~2lVB 2016 04 09.46692 13 47 07.993 -10 44 52.94 24.7w 15GM55 568 C~2lVB 2016 05 02.35585 13 44 56.101 -10 34 05.01 24.5w 15GM55 568 C~2lVB 2016 05 07.35921 13 44 28.524 -10 31 50.56 24.2w 15GM55 568 C~2lVB 2016 05 29.33148 13 42 43.103 -10 23 28.59 24.7w 15GM55 568 C~2lVB 2016 06 04.39391 13 42 20.130 -10 21 44.88 24.8w 15GM55 568 C~2lVB 2016 06 27.31561 13 41 25.351 -10 18 13.29 24.3w 15GM55 568 C~2lVB 2016 07 07.31185 13 41 19.169 -10 18 21.31 24.8w 15GM55 568 C~2lVB 2017 03 31.46055 13 56 36.695 -12 00 58.40 24.8w 15GM55 568 C~2lVB
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 0.05
2 0.0001 -1.50 0.03 -0.33 -0.15
3 0.0084 -114.34 0.09 -8.07 -0.13
4 0.0849 -1803.26 -0.33 -87.10 0.13
5 0.1450 -3675.74 0.02 -161.62 -0.09
6 0.1475 -3757.41 0.20 -164.78 0.00
7 0.1476 -3761.68 0.13 -164.91 0.07
8 0.1477 -3765.77 -0.07 -164.91 0.25
9 0.2429 -6756.48 0.16 -305.78 -0.06
10 0.2652 -7328.53 -0.05 -341.98 -0.01
11 0.2654 -7332.49 -0.14 -342.31 -0.06
12 0.3390 -8571.79 -0.01 -467.04 0.00
13 0.3416 -8594.57 -0.11 -471.53 0.03
14 0.3964 -8695.58 0.05 -566.72 0.06
15 0.9640 8821.54 -0.04 -1324.33 -0.03
16 0.9831 8734.35 -0.03 -1345.68 0.03
17 1.0625 7464.63 -0.09 -1439.51 -0.11
18 1.0649 7407.21 0.07 -1442.16 0.13
19 1.1252 5693.57 0.01 -1519.50 0.00
20 1.1415 5167.80 -0.02 -1541.54 -0.11
21 1.2042 3119.38 -0.06 -1628.35 0.04
22 1.2179 2691.42 0.07 -1647.96 0.05
23 1.2781 1059.54 0.07 -1735.73 -0.00
24 1.2947 705.92 -0.10 -1760.49 -0.19
25 1.3574 -124.53 -0.03 -1853.33 -0.03
26 1.3848 -206.79 0.10 -1893.61 0.07
27 2.1162 14625.90 0.02 -2879.48 0.07
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.
15GM55 quality flag:3 Type: 5:2EEE 5:2EEE 5:2EEE axisobj 55.067 55.122 55.013 ecceobj 0.433 0.434 0.432 incobj 9.046 9.046 9.046 qmin 30.687 30.653 30.691 qmax 81.770 81.755 81.650 amean 55.462 55.462 55.462 amin 54.679 54.637 54.707 amax 56.511 56.467 56.476 emean 0.436 0.436 0.436 emin 0.425 0.425 0.425 emax 0.448 0.448 0.448 imean 8.973 8.994 8.965 imin 8.711 8.691 8.707 imax 9.252 9.304 9.231 excite_mean 0.463 0.463 0.463 fracstop 1.000 1.000 1.000 cjmean 2.955 2.955 2.956 libcent 0 180.1 180.6 180.6 libamp 0 100.9 104.8 98.7 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 190.5 185.1 197.2 kozaiamp 180.0 180.0 180.0