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: 15GZ57
# Created Wed May 8 01:17:05 2024
# Orbit generated from Bernstein formalism
# Fitting 32 observations of 32
# Arc: 2.10y
# First observation: 2015/02/20
# Last observation: 2017/03/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000144 0.022522 0.000005 -0.001149 0.023262 0.000000
# Chi-squared of fit: 7.01 DOF: 58 RMS: 0.08
# Min/Max residuals: -0.27 0.19
# Exact a, adot, b, bdot, g, gdot:
1.533669E-05 2.242032E-02 -4.965469E-07 -1.144464E-03 2.334950E-02 -9.942726E-04
# Covariance matrix:
2.1669E-13 -1.4457E-14 7.6206E-17 -6.7121E-15 1.7384E-13 4.3600E-12
-1.4457E-14 2.9078E-13 1.4186E-15 -1.4257E-14 1.8945E-13 8.6300E-12
7.6206E-17 1.4186E-15 1.1499E-13 -1.0037E-13 9.1925E-16 9.4371E-14
-6.7121E-15 -1.4257E-14 -1.0037E-13 1.4629E-13 -1.6480E-14 -8.6606E-13
1.7384E-13 1.8945E-13 9.1925E-16 -1.6480E-14 3.2208E-13 1.0337E-11
4.3600E-12 8.6300E-12 9.4371E-14 -8.6606E-13 1.0337E-11 5.2015E-10
# lat0 lon0 xBary yBary zBary JD0
2.350527 -156.919853 0.773777 0.025188 -0.610384 2457074.111098
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 293.65294 +/- 0.180
Argument of Peri: 214.42454 +/- 0.283
Long of Asc Node: 60.80709 +/- 0.009
Inclination: 3.69856 +/- 0.001
Eccentricity: 0.06377292 +/- 0.0010
Semi-Major Axis: 44.42734965 +/- 0.0066
Time of Perihelion: 2477004.4423 +/- 53.9
Perihelion: 41.59408796 +/- 0.0443
Aphelion: 47.26061134 +/- 0.0444
Period (y) 296.1310 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -40.23440846 +/- 0.0010
Ecliptic Y -16.30269357 +/- 0.0004
Ecliptic Z 1.75646732 +/- 0.0000
Ecliptic XDOT 0.00112905 +/- 0.0000
Ecliptic YDOT -0.00238056 +/- 0.0000
Ecliptic ZDOT -0.00013877 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.44733155 +/- 0.0009
Geocenter to KBO 42.82746476 +/- 0.0010
# Hcoef: 8.13
The following table shows the complete astrometric record for 15GZ57. 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 (15GZ57) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.61032 13 28 55.301 -06 47 12.67 24.3r 15GZ57 568 C~2nvY 2015 03 18.55474 13 27 32.761 -06 38 22.20 24.8r 15GZ57 568 C~2nvY 2015 03 18.59568 13 27 32.598 -06 38 21.25 24.2r 15GZ57 568 C~2nvY 2015 03 20.55852 13 27 24.915 -06 37 34.05 24.4r 15GZ57 568 C~2nvY 2015 04 11.49312 13 25 51.799 -06 28 18.33 24.5r 15GZ57 568 C~2nvY 2015 04 13.35741 13 25 43.590 -06 27 30.38 24.2r 15GZ57 568 C~2nvY 2015 04 13.39836 13 25 43.404 -06 27 29.46 24.5r 15GZ57 568 C~2nvY 2015 04 13.47268 13 25 43.073 -06 27 27.53 24.3r 15GZ57 568 C~2nvY 2015 04 13.47763 13 25 43.044 -06 27 27.42 24.4r 15GZ57 568 C~2nvY 2015 04 19.39819 13 25 16.958 -06 24 57.31 24.4r 15GZ57 568 C~2nvY 2015 04 19.50989 13 25 16.434 -06 24 54.47 24.2r 15GZ57 568 C~2nvY 2015 04 19.51516 13 25 16.434 -06 24 54.35 24.0r 15GZ57 568 C~2nvY 2015 06 20.27087 13 21 58.845 -06 08 02.93 24.5r 15GZ57 568 C~2nvY 2015 06 20.31175 13 21 58.791 -06 08 02.77 24.5r 15GZ57 568 C~2nvY 2015 06 22.31546 13 21 56.386 -06 07 56.34 24.4r 15GZ57 568 C~2nvY 2015 07 14.26780 13 21 51.622 -06 08 57.50 25.4r 15GZ57 568 C~2nvY 2016 02 04.55115 13 34 05.644 -07 22 30.14 24.5w 15GZ57 568 C~2nvY 2016 02 04.56329 13 34 05.631 -07 22 29.91 24.6w 15GZ57 568 C~2nvY 2016 02 10.53908 13 33 58.515 -07 21 33.10 24.8w 15GZ57 568 C~2nvY 2016 02 10.55122 13 33 58.503 -07 21 33.02 24.8w 15GZ57 568 C~2nvY 2016 02 10.60087 13 33 58.416 -07 21 32.35 24.8w 15GZ57 568 C~2nvY 2016 04 03.42104 13 31 10.027 -07 03 52.91 24.5w 15GZ57 568 C~2nvY 2016 04 09.40077 13 30 43.837 -07 01 20.41 24.4w 15GZ57 568 C~2nvY 2016 05 01.36453 13 29 07.963 -06 52 19.88 24.6w 15GZ57 568 C~2nvY 2016 05 02.30717 13 29 04.056 -06 51 58.11 25.0w 15GZ57 568 C~2nvY 2016 05 06.31695 13 28 47.591 -06 50 28.92 24.7w 15GZ57 568 C~2nvY 2016 05 28.27195 13 27 29.563 -06 43 44.81 24.7w 15GZ57 568 C~2nvY 2016 06 04.35340 13 27 10.101 -06 42 12.69 24.8w 15GZ57 568 C~2nvY 2016 06 27.28082 13 26 31.978 -06 39 51.80 24.9w 15GZ57 568 C~2nvY 2016 07 06.31671 13 26 28.434 -06 40 07.11 25.0w 15GZ57 568 C~2nvY 2016 07 07.28338 13 26 28.474 -06 40 11.02 25.0w 15GZ57 568 C~2nvY 2017 03 29.45461 13 36 20.042 -07 38 24.50 24.4w 15GZ57 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 -0.03 0.00 -0.06
2 0.0710 -1338.59 -0.03 39.53 0.04
3 0.0711 -1341.20 -0.04 39.51 0.00
4 0.0765 -1465.02 -0.05 41.12 -0.04
5 0.1366 -2959.96 -0.04 44.63 -0.08
6 0.1417 -3091.40 0.03 43.91 0.14
7 0.1418 -3094.32 0.05 43.74 0.01
8 0.1420 -3099.61 0.09 43.71 0.05
9 0.1420 -3100.06 0.00 43.65 -0.00
10 0.1582 -3516.93 0.10 39.19 0.08
11 0.1585 -3525.24 -0.25 38.93 -0.03
12 0.1585 -3525.29 0.08 39.05 0.09
13 0.3276 -6638.30 0.01 -114.63 -0.06
14 0.3277 -6639.11 0.03 -114.78 -0.04
15 0.3332 -6674.84 0.05 -122.15 -0.10
16 0.3933 -6718.11 -0.03 -205.38 0.01
17 0.9553 5075.48 0.06 -273.03 -0.06
18 0.9554 5075.21 0.01 -272.89 0.06
19 0.9717 4955.83 0.01 -258.76 -0.03
20 0.9718 4955.64 0.12 -258.75 -0.04
21 0.9719 4954.19 -0.08 -258.60 0.02
22 1.1165 2233.53 -0.04 -191.86 0.05
23 1.1329 1814.85 0.02 -193.32 0.00
24 1.1930 288.51 -0.27 -216.11 -0.15
25 1.1956 226.40 0.05 -217.31 0.19
26 1.2066 -34.42 0.15 -224.76 -0.04
27 1.2667 -1263.76 0.11 -277.89 -0.04
28 1.2861 -1567.23 0.02 -299.34 -0.05
29 1.3489 -2147.10 0.09 -378.30 -0.00
30 1.3736 -2190.51 -0.12 -412.04 -0.10
31 1.3762 -2188.51 -0.07 -415.46 0.11
32 2.1022 7286.68 -0.03 -431.35 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.
15GZ57 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.013 44.028 43.999 ecceobj 0.063 0.066 0.061 incobj 3.705 3.705 3.705 qmin 40.913 40.820 40.997 qmax 47.969 48.045 47.848 amean 44.305 44.319 44.290 amin 43.949 43.971 43.943 amax 44.671 44.683 44.657 emean 0.058 0.061 0.056 emin 0.042 0.045 0.041 emax 0.074 0.076 0.072 imean 2.282 2.279 2.285 imin 1.616 1.609 1.620 imax 2.870 2.870 2.869 excite_mean 0.071 0.073 0.069 fracstop 1.000 1.000 1.000 cjmean 3.099 3.099 3.099 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 186.6 186.7 186.8 kozaiamp 180.0 179.9 180.0