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: 15GX54
# Created Sun Dec 22 02:10:19 2024
# Orbit generated from Bernstein formalism
# Fitting 28 observations of 28
# Arc: 2.34y
# First observation: 2015/02/20
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000167 0.035448 0.000014 -0.008392 0.030694 0.000000
# Chi-squared of fit: 4.63 DOF: 50 RMS: 0.07
# Min/Max residuals: -0.19 0.20
# Exact a, adot, b, bdot, g, gdot:
1.824921E-05 3.522947E-02 -4.575166E-06 -8.346589E-03 3.075992E-02 3.291117E-04
# Covariance matrix:
2.2598E-13 -2.5185E-14 3.3390E-15 -1.7967E-14 1.4848E-13 1.1027E-12
-2.5185E-14 4.2641E-13 2.8886E-14 -1.2077E-13 2.2732E-13 7.2469E-12
3.3390E-15 2.8886E-14 1.2467E-13 -9.9881E-14 1.8093E-14 6.7590E-13
-1.7967E-14 -1.2077E-13 -9.9881E-14 1.5899E-13 -8.0150E-14 -2.8100E-12
1.4848E-13 2.2732E-13 1.8093E-14 -8.0150E-14 2.7983E-13 4.8373E-12
1.1027E-12 7.2469E-12 6.7590E-13 -2.8100E-12 4.8373E-12 1.6853E-10
# lat0 lon0 xBary yBary zBary JD0
2.635127 -153.255966 0.810948 0.025906 -0.560021 2457074.139828
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 356.27797 +/- 0.103
Argument of Peri: 174.07273 +/- 0.145
Long of Asc Node: 36.19273 +/- 0.000
Inclination: 13.50029 +/- 0.001
Eccentricity: 0.16395980 +/- 0.0000
Semi-Major Axis: 39.54700556 +/- 0.0025
Time of Perihelion: 2458009.6754 +/- 26.0
Perihelion: 33.06288652 +/- 0.0029
Aphelion: 46.03112461 +/- 0.0036
Period (y) 248.7016 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -29.86977514 +/- 0.0005
Ecliptic Y -14.14217075 +/- 0.0002
Ecliptic Z 1.49451613 +/- 0.0000
Ecliptic XDOT 0.00135081 +/- 0.0000
Ecliptic YDOT -0.00283437 +/- 0.0000
Ecliptic ZDOT -0.00074068 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 33.08229192 +/- 0.0005
Geocenter to KBO 32.50983678 +/- 0.0006
# Hcoef: 8.97
The following table shows the complete astrometric record for 15GX54. 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 (15GX54) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.63905 13 43 05.430 -07 51 10.59 24.1r 15GX54 568 C~2lV9 2015 03 18.58338 13 41 26.372 -07 42 20.55 24.0r 15GX54 568 C~2lV9 2015 03 18.63265 13 41 26.132 -07 42 19.40 23.9r 15GX54 568 C~2lV9 2015 04 11.52247 13 39 17.741 -07 31 24.28 23.9r 15GX54 568 C~2lV9 2015 04 13.38609 13 39 07.066 -07 30 31.25 24.1r 15GX54 568 C~2lV9 2015 04 13.44737 13 39 06.696 -07 30 29.56 24.1r 15GX54 568 C~2lV9 2015 04 13.45145 13 39 06.677 -07 30 29.32 24.0r 15GX54 568 C~2lV9 2015 04 13.45555 13 39 06.654 -07 30 29.33 24.3r 15GX54 568 C~2lV9 2015 04 13.52960 13 39 06.225 -07 30 27.19 24.1r 15GX54 568 C~2lV9 2015 05 18.34948 13 35 56.483 -07 15 49.61 24.8r 15GX54 568 C~2lV9 2015 06 20.29948 13 34 02.916 -07 09 36.05 24.3r 15GX54 568 C~2lV9 2015 06 20.34029 13 34 02.828 -07 09 35.96 24.6r 15GX54 568 C~2lV9 2015 07 14.29673 13 33 47.466 -07 11 57.30 24.6r 15GX54 568 C~2lV9 2015 07 20.28959 13 33 53.485 -07 13 30.85 24.4r 15GX54 568 C~2lV9 2016 02 04.62240 13 50 27.773 -09 03 19.32 24.1w 15GX54 568 C~2lV9 2016 02 11.60562 13 50 20.496 -09 02 44.67 24.3w 15GX54 568 C~2lV9 2016 03 11.61299 13 48 54.935 -08 55 31.89 24.3w 15GX54 568 C~2lV9 2016 04 03.48172 13 47 00.597 -08 46 01.12 24.4w 15GX54 568 C~2lV9 2016 04 09.46287 13 46 26.905 -08 43 16.31 24.0w 15GX54 568 C~2lV9 2016 05 02.35180 13 44 15.808 -08 32 55.69 24.1w 15GX54 568 C~2lV9 2016 05 07.35515 13 43 48.370 -08 30 51.56 24.1w 15GX54 568 C~2lV9 2016 05 29.33555 13 42 02.952 -08 23 28.65 24.4w 15GX54 568 C~2lV9 2016 06 04.39796 13 41 39.783 -08 22 04.30 24.2w 15GX54 568 C~2lV9 2016 06 27.32960 13 40 42.959 -08 19 52.85 24.5w 15GX54 568 C~2lV9 2016 07 07.31994 13 40 35.231 -08 20 36.10 24.6w 15GX54 568 C~2lV9 2017 03 30.52059 13 54 28.185 -09 58 33.48 15GX54 568 C~2lV9 2017 03 31.45585 13 54 23.180 -09 58 09.45 24.1w 15GX54 568 C~2lV9 2017 06 25.28243 13 47 41.926 -09 29 50.12 24.3w 15GX54 568 C~2lV9
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 -0.03 0.00 0.06
2 0.0710 -1564.37 -0.04 -33.89 -0.03
3 0.0712 -1568.11 0.02 -34.10 -0.11
4 0.1366 -3585.17 0.16 -110.28 -0.04
5 0.1417 -3752.42 0.10 -118.09 0.06
6 0.1418 -3758.16 -0.04 -118.49 -0.04
7 0.1419 -3758.51 -0.02 -118.37 0.10
8 0.1419 -3758.83 0.04 -118.51 -0.01
9 0.1421 -3765.55 0.09 -118.81 0.04
10 0.2374 -6716.37 -0.19 -321.32 -0.05
11 0.3276 -8429.08 0.01 -586.80 -0.04
12 0.3277 -8430.33 -0.07 -587.19 -0.05
13 0.3933 -8592.24 0.03 -802.16 0.20
14 0.4097 -8474.59 -0.02 -856.78 -0.09
15 0.9555 7678.49 -0.10 -1706.01 -0.05
16 0.9746 7565.25 -0.02 -1711.78 -0.02
17 1.0540 6224.96 0.11 -1756.59 0.01
18 1.1166 4436.83 -0.07 -1825.78 0.07
19 1.1330 3911.16 -0.02 -1849.80 0.06
20 1.1957 1873.08 -0.08 -1964.61 0.00
21 1.2094 1448.56 0.06 -1994.42 -0.05
22 1.2695 -170.43 -0.02 -2141.99 0.04
23 1.2861 -521.62 0.02 -2186.81 0.12
24 1.3489 -1355.86 0.09 -2367.53 -0.14
25 1.3763 -1447.31 -0.03 -2449.19 -0.04
26 2.1051 12187.13 -0.02 -3556.22 -0.05
27 2.1076 12109.18 0.02 -3559.67 0.05
28 2.3426 5946.31 0.03 -4066.08 0.00
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.
15GX54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.170 39.180 39.161 ecceobj 0.156 0.156 0.156 incobj 13.539 13.540 13.539 qmin 32.416 32.464 32.408 qmax 47.055 46.983 47.244 amean 39.456 39.457 39.457 amin 39.021 39.003 39.008 amax 39.964 39.959 39.976 emean 0.160 0.159 0.160 emin 0.137 0.138 0.139 emax 0.179 0.176 0.182 imean 12.994 13.006 12.967 imin 12.489 12.504 12.467 imax 13.543 13.545 13.492 excite_mean 0.276 0.276 0.276 fracstop 1.000 1.000 1.000 cjmean 2.965 2.965 2.965 libcent 0 179.6 179.0 180.8 libamp 0 96.5 96.0 98.3 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 179.7 180.1 178.7 kozaiamp 180.0 180.0 179.9