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: 15GX57
# Created Fri Nov 22 02:10:21 2024
# Orbit generated from Bernstein formalism
# Fitting 31 observations of 31
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000150 0.025536 0.000006 0.006331 0.025160 0.000000
# Chi-squared of fit: 7.55 DOF: 56 RMS: 0.09
# Min/Max residuals: -0.20 0.24
# Exact a, adot, b, bdot, g, gdot:
1.583818E-05 2.548795E-02 3.727348E-06 6.336650E-03 2.529674E-02 4.112890E-03
# Covariance matrix:
1.9158E-13 -5.1950E-15 -6.2978E-15 2.3845E-14 1.5326E-13 2.0978E-12
-5.1950E-15 3.5063E-13 -2.0783E-14 9.4213E-14 2.3327E-13 8.2738E-12
-6.2978E-15 -2.0783E-14 1.0858E-13 -9.2750E-14 -1.9933E-14 -7.5270E-13
2.3845E-14 9.4213E-14 -9.2750E-14 1.5865E-13 8.4377E-14 3.4710E-12
1.5326E-13 2.3327E-13 -1.9933E-14 8.4377E-14 3.2876E-13 7.4147E-12
2.0978E-12 8.2738E-12 -7.5270E-13 3.4710E-12 7.4147E-12 3.0478E-10
# lat0 lon0 xBary yBary zBary JD0
3.326158 -157.897942 0.795137 0.033900 -0.580871 2457071.072988
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 39.42767 +/- 0.063
Argument of Peri: 317.73953 +/- 0.124
Long of Asc Node: 188.02168 +/- 0.001
Inclination: 14.34241 +/- 0.001
Eccentricity: 0.18532633 +/- 0.0006
Semi-Major Axis: 45.89913004 +/- 0.0112
Time of Perihelion: 2444630.9757 +/- 19.3
Perihelion: 37.39281292 +/- 0.0295
Aphelion: 54.40544717 +/- 0.0310
Period (y) 310.9674 +/- 0.11
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -37.40522492 +/- 0.0008
Ecliptic Y -14.33089998 +/- 0.0003
Ecliptic Z 2.29371673 +/- 0.0001
Ecliptic XDOT 0.00065941 +/- 0.0000
Ecliptic YDOT -0.00271364 +/- 0.0000
Ecliptic ZDOT 0.00071058 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.12214703 +/- 0.0008
Geocenter to KBO 39.53078276 +/- 0.0009
# Hcoef: 8.58
The following table shows the complete astrometric record for 15GX57. 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 (15GX57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.57221 13 26 43.160 -05 31 09.76 24.5r 15GX57 568 C~2nvX 2015 02 17.61316 13 26 43.072 -05 31 08.91 24.8r 15GX57 568 C~2nvX 2015 02 20.60593 13 26 36.110 -05 30 02.43 24.7r 15GX57 568 C~2nvX 2015 03 18.55062 13 25 09.731 -05 18 15.67 24.6r 15GX57 568 C~2nvX 2015 03 18.59161 13 25 09.558 -05 18 14.57 24.3r 15GX57 568 C~2nvX 2015 03 20.55443 13 25 01.496 -05 17 14.03 24.5r 15GX57 568 C~2nvY 2015 04 11.48904 13 23 23.833 -05 05 37.81 24.5r 15GX57 568 C~2nvY 2015 04 13.35330 13 23 15.237 -05 04 38.82 24.2r 15GX57 568 C~2nvY 2015 04 13.39426 13 23 15.042 -05 04 37.45 24.4r 15GX57 568 C~2nvY 2015 04 13.46376 13 23 14.719 -05 04 35.17 25.0r 15GX57 568 C~2nvY 2015 04 13.46849 13 23 14.696 -05 04 35.20 24.3r 15GX57 568 C~2nvY 2015 04 19.39411 13 22 47.400 -05 01 30.50 24.4r 15GX57 568 C~2nvY 2015 04 19.50579 13 22 46.859 -05 01 27.07 24.2r 15GX57 568 C~2nvY 2015 06 20.26671 13 19 25.287 -04 40 38.79 25.0r 15GX57 568 C~2nvY 2015 06 20.30767 13 19 25.237 -04 40 38.64 24.9r 15GX57 568 C~2nvY 2015 07 14.26266 13 19 22.643 -04 41 02.51 24.5r 15GX57 568 C~2nvY 2016 02 04.54302 13 33 01.741 -05 47 16.11 25.1w 15GX57 568 C~2nvY 2016 02 10.53099 13 32 54.770 -05 45 38.72 24.7w 15GX57 568 C~2nvY 2016 03 11.52813 13 31 35.659 -05 33 40.85 24.9w 15GX57 568 C~2nvY 2016 04 03.41700 13 30 00.316 -05 21 57.18 24.7w 15GX57 568 C~2nvY 2016 04 09.39673 13 29 33.006 -05 18 48.10 24.6w 15GX57 568 C~2nvY 2016 05 01.34835 13 27 53.341 -05 07 49.55 25.2w 15GX57 568 C~2nvY 2016 05 01.39731 13 27 53.133 -05 07 48.24 25.0w 15GX57 568 C~2nvY 2016 05 02.29095 13 27 49.268 -05 07 23.56 24.7w 15GX57 568 C~2nvY 2016 05 06.30070 13 27 32.215 -05 05 35.82 24.7w 15GX57 568 C~2nvY 2016 05 28.26386 13 26 12.021 -04 57 30.97 24.7w 15GX57 568 C~2nvY 2016 06 04.34531 13 25 52.349 -04 55 39.71 24.9w 15GX57 568 C~2nvY 2016 06 27.27676 13 25 15.467 -04 52 38.71 25.0w 15GX57 568 C~2nvY 2016 07 06.31265 13 25 13.303 -04 52 46.54 24.9w 15GX57 568 C~2nvY 2017 03 28.57906 13 36 27.723 -05 37 15.25 15GX57 568 C~2nvY 2017 03 29.44051 13 36 23.972 -05 36 48.74 24.6w 15GX57 568 C~2nvY
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 0.02 0.00 0.05
2 0.0001 -1.54 0.11 0.30 0.05
3 0.0083 -122.71 -0.03 23.57 0.02
4 0.0793 -1582.74 -0.04 201.98 0.07
5 0.0795 -1585.55 -0.03 202.04 -0.09
6 0.0848 -1719.84 -0.07 213.61 0.02
7 0.1449 -3333.23 -0.07 318.53 -0.11
8 0.1500 -3474.42 0.00 325.58 -0.04
9 0.1501 -3477.64 -0.06 325.77 0.02
10 0.1503 -3482.97 -0.03 326.10 0.13
11 0.1503 -3483.27 0.02 325.94 -0.04
12 0.1665 -3930.70 0.11 345.85 0.07
13 0.1668 -3939.48 -0.15 346.02 -0.04
14 0.3359 -7202.84 0.07 382.96 -0.00
15 0.3360 -7203.59 0.12 382.82 -0.07
16 0.4016 -7230.70 -0.01 346.19 -0.01
17 0.9636 5610.30 0.11 1187.48 0.04
18 0.9800 5477.64 0.07 1239.80 -0.04
19 1.0622 4114.68 -0.19 1472.59 -0.10
20 1.1248 2531.44 0.03 1601.75 0.02
21 1.1412 2082.51 0.05 1626.92 -0.07
22 1.2013 455.64 -0.05 1688.72 -0.03
23 1.2014 452.27 0.09 1688.79 -0.02
24 1.2039 389.49 0.06 1690.36 0.01
25 1.2149 112.92 0.04 1696.22 0.09
26 1.2750 -1179.78 0.07 1703.02 0.05
27 1.2944 -1494.08 -0.06 1697.44 0.11
28 1.3572 -2073.17 -0.20 1661.24 0.04
29 1.3819 -2100.31 0.07 1641.97 -0.20
30 2.1082 8252.97 0.07 2876.54 0.24
31 2.1105 8191.05 -0.11 2880.68 -0.17
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.
15GX57 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.430 45.464 45.396 ecceobj 0.179 0.180 0.177 incobj 14.404 14.404 14.404 qmin 36.587 36.535 36.719 qmax 55.200 55.380 54.937 amean 45.695 45.740 45.655 amin 45.301 45.337 45.247 amax 46.141 46.203 46.097 emean 0.181 0.182 0.178 emin 0.167 0.168 0.166 emax 0.197 0.199 0.193 imean 14.546 14.537 14.566 imin 14.031 14.036 14.041 imax 15.069 15.112 15.107 excite_mean 0.309 0.310 0.308 fracstop 1.000 1.000 1.000 cjmean 3.004 3.004 3.004 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 177.8 174.9 178.4 kozaiamp 180.0 180.0 179.9