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: 15GM57
# Created Sun Nov 24 02:10:17 2024
# Orbit generated from Bernstein formalism
# Fitting 29 observations of 30
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000096 0.022813 0.000002 -0.001173 0.023511 0.000000
# Chi-squared of fit: 20.83 DOF: 52 RMS: 0.15
# Min/Max residuals: -0.67 0.25
# Exact a, adot, b, bdot, g, gdot:
1.474603E-05 2.263039E-02 -7.755772E-07 -1.164973E-03 2.346482E-02 -1.052389E-03
# Covariance matrix:
2.3524E-13 -1.2235E-14 3.0603E-16 -5.1213E-15 1.7516E-13 2.2722E-12
-1.2235E-14 3.4090E-13 3.8280E-15 -1.9269E-14 2.2390E-13 8.3008E-12
3.0603E-16 3.8280E-15 1.2305E-13 -8.2605E-14 2.5164E-15 1.2868E-13
-5.1213E-15 -1.9269E-14 -8.2605E-14 9.4297E-14 -1.7001E-14 -6.4495E-13
1.7516E-13 2.2390E-13 2.5164E-15 -1.7001E-14 3.3753E-13 7.4036E-12
2.2722E-12 8.3008E-12 1.2868E-13 -6.4495E-13 7.4036E-12 2.7777E-10
# lat0 lon0 xBary yBary zBary JD0
1.371214 -153.836026 0.834891 0.012667 -0.523063 2457071.015468
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 294.35340 +/- 0.130
Argument of Peri: 228.08293 +/- 0.204
Long of Asc Node: 49.90045 +/- 0.006
Inclination: 3.21998 +/- 0.001
Eccentricity: 0.06785253 +/- 0.0007
Semi-Major Axis: 44.21191123 +/- 0.0054
Time of Perihelion: 2476650.6979 +/- 38.6
Perihelion: 41.21202119 +/- 0.0319
Aphelion: 47.21180127 +/- 0.0321
Period (y) 293.9796 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -39.07980350 +/- 0.0010
Ecliptic Y -18.26754789 +/- 0.0005
Ecliptic Z 1.01978278 +/- 0.0000
Ecliptic XDOT 0.00126791 +/- 0.0000
Ecliptic YDOT -0.00232281 +/- 0.0000
Ecliptic ZDOT -0.00013873 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.15060028 +/- 0.0009
Geocenter to KBO 42.61698315 +/- 0.0011
# Hcoef: 8.37
The following table shows the complete astrometric record for 15GM57. 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 (15GM57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.51469 13 39 03.889 -08 49 24.57 24.0r 15GM57 568 C~2nvW 2015 02 17.55579 13 39 03.788 -08 49 24.09 24.8r 15GM57 568 C~2nvW 2015 03 18.49249 13 37 38.335 -08 40 49.76 24.3r 15GM57 568 C~2nvW 2015 03 18.53407 13 37 38.208 -08 40 49.18 24.7r 15GM57 568 C~2nvW 2015 04 11.47256 13 35 57.510 -08 31 09.18 24.6r 15GM57 568 C~2nvW 2015 04 12.37938 13 35 53.504 -08 30 46.16 24.3r 15GM57 568 C~2nvW 2015 04 12.42509 13 35 53.285 -08 30 45.31 25.2r 15GM57 568 C~2nvW 2015 04 12.46730 13 35 53.095 -08 30 43.99 24.7r 15GM57 568 C~2nvW 2015 04 18.43790 13 35 26.393 -08 28 13.34 24.9r 15GM57 568 C~2nvW 2015 04 18.48560 13 35 26.168 -08 28 11.97 24.8r 15GM57 568 C~2nvW 2015 05 16.28656 13 33 28.986 -08 17 27.01 24.1r 15GM57 568 C~2nvW 2015 05 17.24686 13 33 25.455 -08 17 07.81 23.7r 15GM57 568 C~2nvW 2015 06 22.29486 13 31 50.371 -08 09 13.82 24.8r 15GM57 568 C~2nvW 2015 07 19.27863 13 31 44.124 -08 09 49.37 25.0r 15GM57 568 C~2nvW 2016 02 04.61430 13 44 09.880 -09 23 04.55 25.1w 15GM57 568 C~2nvW 2016 02 11.59753 13 44 02.753 -09 22 15.86 25.4w 15GM57 568 C~2nvW 2016 03 11.60487 13 42 51.650 -09 15 06.88 25.4w 15GM57 568 C~2nvW 2016 04 03.47362 13 41 21.220 -09 06 27.93 25.0w 15GM57 568 C~2nvW 2016 04 09.45477 13 40 54.905 -09 03 59.72 24.7w 15GM57 568 C~2nvW 2016 05 01.46556 13 39 17.067 -08 54 58.06 24.7w 15GM57 568 C~2nvW 2016 05 02.33963 13 39 13.343 -08 54 37.50 24.9w 15GM57 568 C~2nvW 2016 05 07.34298 13 38 52.200 -08 52 42.72 24.9w 15GM57 568 C~2nvW 2016 05 29.32744 13 37 31.254 -08 45 35.32 25.1w 15GM57 568 C~2nvW 2016 06 04.38987 13 37 13.522 -08 44 05.85 15GM57 568 C~2nvW 2016 07 07.31590 13 36 24.461 -08 40 42.93 25.0w 15GM57 568 C~2nvW 2017 02 27.64150 13 48 20.942 -09 50 35.64 15GM57 568 C~2nvW 2017 02 27.66186 13 48 20.855 -09 50 35.31 15GM57 568 C~2nvW 2017 03 29.48748 13 46 37.179 -09 40 41.49 24.5w 15GM57 568 C~2nvW 2017 03 29.50900 13 46 37.073 -09 40 41.29 25.0w 15GM57 568 C~2nvW 2017 06 25.27303 13 41 21.245 -09 12 54.65 25.4w 15GM57 568 C~2nvW
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 0.10 0.00 -0.00
2 0.0001 -1.57 -0.14 -0.09 -0.12
3 0.0793 -1368.72 -0.07 21.13 0.02
4 0.0795 -1370.68 ( 0.53) 20.99 ( -0.12)
5 0.1450 -2973.03 -0.11 19.82 -0.08
6 0.1475 -3036.77 0.25 19.69 0.17
7 0.1476 -3040.11 0.20 19.30 -0.17
8 0.1477 -3043.21 0.13 19.50 0.07
9 0.1641 -3467.12 0.03 15.91 0.02
10 0.1642 -3470.73 -0.14 15.97 0.13
11 0.2403 -5326.01 -0.67 -16.49 -0.15
12 0.2429 -5381.86 0.22 -17.73 0.14
13 0.3416 -6870.38 0.08 -91.99 -0.06
14 0.4155 -6943.80 0.15 -159.03 -0.00
15 0.9640 4956.22 -0.07 -254.82 -0.03
16 0.9831 4840.24 0.08 -247.12 -0.10
17 1.0625 3703.43 0.03 -223.93 -0.04
18 1.1251 2267.00 -0.03 -220.84 0.13
19 1.1415 1849.97 0.04 -222.87 0.06
20 1.2018 302.58 -0.27 -240.42 -0.20
21 1.2042 243.70 0.11 -241.18 -0.00
22 1.2179 -89.94 0.13 -247.36 0.05
23 1.2781 -1363.14 0.04 -283.07 0.01
24 1.2947 -1640.60 -0.04 -294.94 0.10
25 1.3848 -2392.17 -0.05 -369.68 0.13
26 2.0291 9018.72 0.19 -473.56 0.12
27 2.0292 9017.40 -0.28 -473.71 -0.04
28 2.1108 7371.18 0.09 -463.90 0.18
29 2.1109 7369.64 0.01 -464.27 -0.18
30 2.3512 2406.53 0.00 -581.54 -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.
15GM57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.804 43.816 43.791 ecceobj 0.068 0.069 0.066 incobj 3.229 3.229 3.229 qmin 40.535 40.461 40.579 qmax 47.900 48.007 47.859 amean 44.100 44.114 44.088 amin 43.753 43.768 43.742 amax 44.466 44.479 44.460 emean 0.062 0.063 0.061 emin 0.046 0.047 0.044 emax 0.078 0.080 0.076 imean 2.117 2.116 2.119 imin 1.365 1.364 1.368 imax 2.739 2.741 2.738 excite_mean 0.072 0.074 0.071 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 199.5 199.4 199.3 kozaiamp 179.9 180.0 179.9