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: 15GZ58
# Created Wed May 8 01:17:06 2024
# Orbit generated from Bernstein formalism
# Fitting 30 observations of 30
# Arc: 2.35y
# First observation: 2015/02/17
# Last observation: 2017/06/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000078 0.025552 0.000001 -0.002141 0.025076 0.000000
# Chi-squared of fit: 3.59 DOF: 54 RMS: 0.06
# Min/Max residuals: -0.19 0.17
# Exact a, adot, b, bdot, g, gdot:
1.629109E-05 2.547364E-02 -1.320742E-06 -2.135321E-03 2.512021E-02 -5.185994E-05
# Covariance matrix:
1.7826E-13 1.5503E-14 1.2368E-15 -8.5600E-15 1.3689E-13 2.0329E-12
1.5503E-14 3.7434E-13 9.0286E-15 -4.4538E-14 2.5342E-13 1.0330E-11
1.2368E-15 9.0286E-15 9.9932E-14 -7.1909E-14 6.4988E-15 3.7069E-13
-8.5600E-15 -4.4538E-14 -7.1909E-14 1.0448E-13 -3.4819E-14 -1.7739E-12
1.3689E-13 2.5342E-13 6.4988E-15 -3.4819E-14 2.9713E-13 8.1293E-12
2.0329E-12 1.0330E-11 3.7069E-13 -1.7739E-12 8.1293E-12 4.1038E-10
# lat0 lon0 xBary yBary zBary JD0
1.617079 -153.360588 0.838412 0.014743 -0.517349 2457071.101558
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 342.39358 +/- 0.622
Argument of Peri: 181.43104 +/- 0.713
Long of Asc Node: 43.95610 +/- 0.002
Inclination: 5.01514 +/- 0.001
Eccentricity: 0.06407660 +/- 0.0003
Semi-Major Axis: 42.94210745 +/- 0.0027
Time of Perihelion: 2462097.3047 +/- 177.5
Perihelion: 40.19052329 +/- 0.0117
Aphelion: 45.69369162 +/- 0.0117
Period (y) 281.4059 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -36.40985000 +/- 0.0008
Ecliptic Y -17.32466008 +/- 0.0004
Ecliptic Z 1.12333358 +/- 0.0000
Ecliptic XDOT 0.00124038 +/- 0.0000
Ecliptic YDOT -0.00248763 +/- 0.0000
Ecliptic ZDOT -0.00023270 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 40.33711569 +/- 0.0007
Geocenter to KBO 39.80858781 +/- 0.0009
# Hcoef: 8.13
The following table shows the complete astrometric record for 15GZ58. 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 (15GZ58) followed by the observatory code and reference code for the source of the astrometry.
2015 02 17.60078 13 41 13.077 -08 45 55.84 24.2r 15GZ58 568 C~2nvc 2015 02 17.64179 13 41 12.998 -08 45 55.34 24.4r 15GZ58 568 C~2nvc 2015 02 20.63493 13 41 06.614 -08 45 15.89 24.2r 15GZ58 568 C~2nvc 2015 03 18.57924 13 39 43.316 -08 37 04.73 23.9r 15GZ58 568 C~2nvc 2015 03 18.62665 13 39 43.119 -08 37 03.58 23.9r 15GZ58 568 C~2nvc 2015 03 20.58351 13 39 35.164 -08 36 17.87 24.3r 15GZ58 568 C~2nvc 2015 04 11.51839 13 37 56.583 -08 27 02.31 24.4r 15GZ58 568 C~2nvc 2015 04 13.38199 13 37 47.755 -08 26 13.40 23.8r 15GZ58 568 C~2nvc 2015 04 13.44320 13 37 47.457 -08 26 11.73 24.0r 15GZ58 568 C~2nvc 2015 04 13.52553 13 37 47.065 -08 26 09.64 24.1r 15GZ58 568 C~2nvc 2015 04 19.49336 13 37 18.665 -08 23 33.23 23.8r 15GZ58 568 C~2nvc 2015 04 19.54045 13 37 18.447 -08 23 32.14 23.4r 15GZ58 568 C~2nvc 2015 06 20.29539 13 33 35.920 -08 04 46.29 24.5r 15GZ58 568 C~2nvc 2015 06 20.33619 13 33 35.852 -08 04 45.93 24.4r 15GZ58 568 C~2nvc 2015 06 22.34024 13 33 32.782 -08 04 35.37 24.1r 15GZ58 568 C~2nvc 2015 07 14.29246 13 33 22.229 -08 04 55.84 24.2r 15GZ58 568 C~2nvc 2015 07 20.28549 13 33 26.937 -08 05 45.88 23.5r 15GZ58 568 C~2nvc 2016 02 04.62240 13 46 51.294 -09 26 01.11 24.3w 15GZ58 568 C~2nvc 2016 03 11.60487 13 45 30.732 -09 18 00.42 24.9w 15GZ58 568 C~2nvc 2016 04 03.47362 13 43 55.287 -09 09 05.20 24.2w 15GZ58 568 C~2nvc 2016 04 09.45477 13 43 27.366 -09 06 31.65 24.1w 15GZ58 568 C~2nvc 2016 05 01.46556 13 41 43.239 -08 57 10.17 24.2w 15GZ58 568 C~2nvc 2016 05 02.33963 13 41 39.234 -08 56 49.05 24.1w 15GZ58 568 C~2nvc 2016 05 07.34298 13 41 16.661 -08 54 50.38 24.2w 15GZ58 568 C~2nvc 2016 06 27.32010 13 38 44.278 -08 42 47.29 24.6w 15GZ58 568 C~2nvc 2016 06 27.32513 13 38 44.271 -08 42 47.17 25.7w 15GZ58 568 C~2nvc 2016 07 07.31590 13 38 37.894 -08 42 45.90 24.5w 15GZ58 568 C~2nvc 2017 03 30.49709 13 49 40.599 -09 49 26.69 24.4w 15GZ58 568 C~2nvc 2017 06 25.27303 13 44 07.478 -09 21 15.85 24.5w 15GZ58 568 C~2nvc 2017 06 25.28243 13 44 07.470 -09 21 15.80 24.6w 15GZ58 568 C~2nvc
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 -0.05 0.00 -0.00
2 0.0001 -1.27 0.04 0.05 0.02
3 0.0083 -103.77 0.04 2.80 -0.02
4 0.0793 -1432.94 -0.02 16.03 -0.05
5 0.0795 -1436.08 -0.07 16.05 -0.02
6 0.0848 -1562.61 0.05 16.12 0.00
7 0.1449 -3127.13 -0.03 5.88 0.00
8 0.1500 -3266.97 -0.01 4.09 -0.03
9 0.1502 -3271.70 -0.06 4.04 0.02
10 0.1504 -3277.88 0.05 3.89 -0.02
11 0.1667 -3727.46 -0.01 -2.86 0.13
12 0.1668 -3730.87 0.17 -3.01 0.05
13 0.3359 -7220.20 -0.03 -154.01 -0.03
14 0.3360 -7221.28 -0.06 -154.04 0.09
15 0.3415 -7267.64 0.07 -160.82 -0.00
16 0.4016 -7406.31 -0.02 -237.04 -0.05
17 0.4180 -7322.86 -0.01 -258.17 -0.03
18 0.9638 5539.77 0.01 -452.84 0.05
19 1.0623 4253.69 0.02 -428.84 0.11
20 1.1249 2742.14 0.01 -434.21 -0.00
21 1.1413 2301.00 -0.01 -438.96 -0.03
22 1.2015 659.62 -0.09 -468.47 0.08
23 1.2039 596.65 -0.06 -470.10 -0.02
24 1.2176 241.86 0.03 -479.65 -0.03
25 1.3572 -2125.77 0.01 -619.49 -0.19
26 1.3572 -2125.91 -0.05 -619.41 -0.10
27 1.3846 -2214.55 0.02 -652.40 -0.07
28 2.1133 8382.85 -0.04 -877.95 -0.06
29 2.3509 3172.32 0.01 -1051.92 0.07
30 2.3509 3172.19 0.09 -1051.92 0.11
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.
15GZ58 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.536 42.544 42.529 ecceobj 0.056 0.056 0.057 incobj 5.031 5.031 5.031 qmin 39.578 39.567 39.551 qmax 46.305 46.331 46.339 amean 42.821 42.829 42.814 amin 42.498 42.497 42.486 amax 43.172 43.180 43.170 emean 0.052 0.052 0.052 emin 0.032 0.032 0.032 emax 0.073 0.073 0.074 imean 3.564 3.569 3.560 imin 2.544 2.553 2.535 imax 4.627 4.629 4.624 excite_mean 0.081 0.081 0.081 fracstop 1.000 1.000 1.000 cjmean 3.080 3.080 3.080 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 183.7 183.2 183.9 kozaiamp 179.9 180.0 179.9