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: 15GJ54
# Created Thu Apr 25 01:17:02 2024
# Orbit generated from Bernstein formalism
# Fitting 36 observations of 36
# Arc: 2.11y
# First observation: 2015/02/17
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000136 0.018147 0.000001 -0.006294 0.022349 0.000000
# Chi-squared of fit: 7.92 DOF: 66 RMS: 0.08
# Min/Max residuals: -0.21 0.31
# Exact a, adot, b, bdot, g, gdot:
1.301953E-05 1.808326E-02 -4.341107E-06 -6.295749E-03 2.244457E-02 2.918471E-03
# Covariance matrix:
1.9017E-13 -3.7268E-14 8.4624E-15 -4.3757E-14 1.4797E-13 4.4184E-12
-3.7268E-14 2.0341E-13 1.2067E-14 -6.1821E-14 1.1349E-13 6.2275E-12
8.4624E-15 1.2067E-14 1.0229E-13 -1.0148E-13 1.9217E-14 1.1408E-12
-4.3757E-14 -6.1821E-14 -1.0148E-13 1.9481E-13 -9.8936E-14 -5.8402E-12
1.4797E-13 1.1349E-13 1.9217E-14 -9.8936E-14 2.6296E-13 9.9789E-12
4.4184E-12 6.2275E-12 1.1408E-12 -5.8402E-12 9.9789E-12 5.8819E-10
# lat0 lon0 xBary yBary zBary JD0
0.358792 -154.824691 0.825859 0.003513 -0.537346 2457071.002878
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 129.75333 +/- 0.267
Argument of Peri: 34.24693 +/- 0.252
Long of Asc Node: 25.14669 +/- 0.000
Inclination: 19.11209 +/- 0.001
Eccentricity: 0.19849408 +/- 0.0006
Semi-Major Axis: 39.34813300 +/- 0.0100
Time of Perihelion: 2424576.6899 +/- 65.6
Perihelion: 31.53776151 +/- 0.0248
Aphelion: 47.15850449 +/- 0.0263
Period (y) 246.8280 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -41.16163448 +/- 0.0009
Ecliptic Y -18.43361406 +/- 0.0004
Ecliptic Z 0.27880163 +/- 0.0000
Ecliptic XDOT 0.00060816 +/- 0.0000
Ecliptic YDOT -0.00215537 +/- 0.0000
Ecliptic ZDOT -0.00076564 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 45.10161872 +/- 0.0009
Geocenter to KBO 44.55420709 +/- 0.0010
# Hcoef: 7.64
The following table shows the complete astrometric record for 15GJ54. 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 (15GJ54) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.50210 13 33 50.647 -09 24 28.34 24.1r 15GJ54 568 C~2lV6 2015 02 17.54344 13 33 50.564 -09 24 27.94 24.2r 15GJ54 568 C~2lV6 2015 02 20.47426 13 33 43.915 -09 23 59.27 24.1r 15GJ54 568 C~2lV6 2015 03 18.52182 13 32 20.488 -09 17 25.61 24.0r 15GJ54 568 C~2lV6 2015 03 20.52388 13 32 12.611 -09 16 47.10 24.2r 15GJ54 568 C~2lV6 2015 04 11.41445 13 30 38.879 -09 09 01.92 24.1r 15GJ54 568 C~2lV6 2015 04 12.36711 13 30 34.625 -09 08 40.75 24.0r 15GJ54 568 C~2lV6 2015 04 12.40803 13 30 34.436 -09 08 39.87 23.4r 15GJ54 568 C~2lV6 2015 04 12.45503 13 30 34.227 -09 08 38.45 24.4r 15GJ54 568 C~2lV6 2015 04 14.46499 13 30 25.243 -09 07 53.86 24.2r 15GJ54 568 C~2lV6 2015 04 18.42564 13 30 07.528 -09 06 25.60 24.3r 15GJ54 568 C~2lV6 2015 04 18.47335 13 30 07.322 -09 06 24.41 23.8r 15GJ54 568 C~2lV6 2015 05 16.27210 13 28 10.840 -08 56 51.99 24.4r 15GJ54 568 C~2lV6 2015 05 25.37637 13 27 38.869 -08 54 21.11 24.3r 15GJ54 568 C~2lV6 2015 05 25.43418 13 27 38.685 -08 54 20.26 24.1r 15GJ54 568 C~2lV6 2015 06 21.32593 13 26 33.971 -08 49 49.56 24.4r 15GJ54 568 C~2lV6 2015 06 22.28249 13 26 32.627 -08 49 45.59 24.1r 15GJ54 568 C~2lV6 2015 07 15.26670 13 26 22.023 -08 50 17.26 24.6r 15GJ54 568 C~2lV6 2015 07 19.26636 13 26 24.568 -08 50 48.66 24.0r 15GJ54 568 C~2lV6 2016 02 04.57558 13 37 34.328 -10 08 19.07 24.7w 15GJ54 568 C~2lV6 2016 02 04.60217 13 37 34.294 -10 08 19.01 24.6w 15GJ54 568 C~2lV6 2016 02 10.56342 13 37 26.698 -10 07 57.98 24.5w 15GJ54 568 C~2lV6 2016 02 10.62117 13 37 26.608 -10 07 57.56 24.1w 15GJ54 568 C~2lV6 2016 02 11.58524 13 37 25.102 -10 07 52.63 24.1w 15GJ54 568 C~2lV6 2016 03 11.58783 13 36 08.077 -10 02 20.58 24.3w 15GJ54 568 C~2lV6 2016 03 11.63454 13 36 07.923 -10 02 19.63 24.5w 15GJ54 568 C~2lV6 2016 03 12.48427 13 36 04.877 -10 02 05.48 24.4w 15GJ54 568 C~2lV6 2016 04 09.44264 13 34 09.444 -09 52 46.45 24.4w 15GJ54 568 C~2lV6 2016 05 02.32341 13 32 28.487 -09 44 28.47 24.3w 15GJ54 568 C~2lV6 2016 05 06.33319 13 32 11.688 -09 43 06.10 24.4w 15GJ54 568 C~2lV6 2016 05 28.31243 13 30 51.057 -09 36 39.03 24.4w 15GJ54 568 C~2lV7 2016 05 29.31935 13 30 47.943 -09 36 24.67 24.6w 15GJ54 568 C~2lV7 2016 06 04.38178 13 30 30.538 -09 35 05.43 24.5w 15GJ54 568 C~2lV7 2016 06 27.29699 13 29 47.842 -09 32 19.15 24.3w 15GJ54 568 C~2lV7 2016 07 07.29960 13 29 41.845 -09 32 20.17 24.4w 15GJ54 568 C~2lV7 2017 03 29.46402 13 38 23.534 -10 39 39.87 15GJ54 568 C~2lV7
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 -0.02
2 0.0001 -1.29 0.06 -0.08 0.05
3 0.0081 -103.36 -0.06 -9.29 0.03
4 0.0795 -1396.63 -0.10 -94.10 0.00
5 0.0849 -1519.25 0.07 -100.93 -0.08
6 0.1449 -2981.19 -0.01 -176.75 -0.06
7 0.1475 -3047.57 -0.02 -180.18 -0.13
8 0.1476 -3050.50 -0.05 -180.39 -0.17
9 0.1477 -3053.90 -0.12 -180.20 0.20
10 0.1532 -3194.06 0.07 -187.57 0.02
11 0.1641 -3470.58 0.04 -201.83 -0.02
12 0.1642 -3473.86 0.14 -201.84 0.15
13 0.2403 -5289.84 -0.08 -304.56 -0.03
14 0.2652 -5786.21 -0.03 -339.03 -0.02
15 0.2654 -5789.06 0.10 -339.24 -0.00
16 0.3390 -6781.27 -0.02 -441.89 0.05
17 0.3416 -6801.27 0.05 -445.57 0.02
18 0.4046 -6935.76 -0.05 -533.15 0.13
19 0.4155 -6889.05 0.03 -548.39 0.03
20 0.9639 4037.32 0.04 -1248.47 -0.00
21 0.9640 4036.83 -0.03 -1248.59 -0.02
22 0.9803 3924.63 0.02 -1269.64 -0.11
23 0.9805 3923.24 0.01 -1269.73 0.03
24 0.9831 3900.72 0.05 -1273.19 -0.05
25 1.0625 2719.92 -0.11 -1376.52 -0.21
26 1.0626 2717.45 0.05 -1376.46 0.03
27 1.0650 2670.38 0.04 -1379.62 -0.14
28 1.1415 878.30 -0.06 -1479.72 0.02
29 1.2042 -692.75 0.13 -1561.19 0.03
30 1.2151 -954.04 0.07 -1575.42 -0.00
31 1.2753 -2205.36 0.04 -1652.25 -0.02
32 1.2781 -2253.48 -0.03 -1655.80 -0.08
33 1.2947 -2522.06 -0.06 -1676.59 0.05
34 1.3574 -3170.68 -0.08 -1753.99 0.31
35 1.3848 -3252.83 0.01 -1787.57 0.08
36 2.1108 5395.86 -0.03 -2739.59 -0.04
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.
15GJ54 quality flag:3 Type: 3:2E 3:2E 3:2E axisobj 39.064 39.092 39.036 ecceobj 0.204 0.205 0.202 incobj 19.206 19.205 19.206 qmin 30.643 29.201 31.026 qmax 48.950 50.343 48.535 amean 39.456 39.455 39.456 amin 38.979 38.982 38.928 amax 40.013 39.993 40.040 emean 0.202 0.223 0.196 emin 0.172 0.182 0.178 emax 0.224 0.260 0.214 imean 18.677 18.040 18.779 imin 18.201 16.870 18.301 imax 19.488 19.270 19.325 excite_mean 0.378 0.382 0.377 fracstop 1.000 1.000 1.000 cjmean 2.888 2.885 2.888 libcent 0 179.9 181.8 179.7 libamp 0 111.5 101.5 123.1 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 187.0 158.8 200.4 kozaiamp 180.0 180.0 180.0