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: 15GD59
# Created Sun Nov 24 02:10:18 2024
# Orbit generated from Bernstein formalism
# Fitting 23 observations of 23
# Arc: 2.11y
# First observation: 2015/02/20
# Last observation: 2017/03/30
Preliminary a, adot, b, bdot, g, gdot:
-0.000100 0.018245 0.000001 -0.000853 0.020969 0.000000
# Chi-squared of fit: 2.06 DOF: 40 RMS: 0.05
# Min/Max residuals: -0.17 0.11
# Exact a, adot, b, bdot, g, gdot:
1.370757E-05 1.812666E-02 -7.317975E-07 -8.504693E-04 2.094946E-02 9.715234E-04
# Covariance matrix:
2.9119E-13 4.1843E-14 -1.4173E-15 -8.7713E-15 3.1409E-13 7.9637E-12
4.1843E-14 4.3494E-13 -6.8755E-16 -1.7686E-14 4.1441E-13 1.5303E-11
-1.4173E-15 -6.8755E-16 1.5037E-13 -1.2298E-13 -2.4955E-15 4.8194E-15
-8.7713E-15 -1.7686E-14 -1.2298E-13 1.7504E-13 -2.4647E-14 -1.1454E-12
3.1409E-13 4.1441E-13 -2.4955E-15 -2.4647E-14 7.3258E-13 2.1860E-11
7.9637E-12 1.5303E-11 4.8194E-15 -1.1454E-12 2.1860E-11 9.7390E-10
# lat0 lon0 xBary yBary zBary JD0
1.799886 -152.961663 0.813857 0.017607 -0.556109 2457074.135708
# Heliocentric elements and errors
Epoch: 2457070.5000 = 2015/02/17
Mean Anomaly: 150.83902 +/- 0.961
Argument of Peri: 350.89726 +/- 0.960
Long of Asc Node: 59.90591 +/- 0.013
Inclination: 3.19235 +/- 0.001
Eccentricity: 0.08584759 +/- 0.0007
Semi-Major Axis: 44.86519728 +/- 0.0055
Time of Perihelion: 2411079.3799 +/- 293.0
Perihelion: 41.01362827 +/- 0.0298
Aphelion: 48.71676629 +/- 0.0300
Period (y) 300.5194 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -43.36402633 +/- 0.0017
Ecliptic Y -21.21651551 +/- 0.0009
Ecliptic Z 1.49923895 +/- 0.0001
Ecliptic XDOT 0.00095712 +/- 0.0000
Ecliptic YDOT -0.00217489 +/- 0.0000
Ecliptic ZDOT -0.00010701 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 48.29934811 +/- 0.0016
Geocenter to KBO 47.73391663 +/- 0.0020
# Hcoef: 7.25
The following table shows the complete astrometric record for 15GD59. 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 (15GD59) followed by the observatory code and reference code for the source of the astrometry.
2015 02 20.63493 13 42 59.386 -08 44 17.13 24.0r 15GD59 568 C~2nvc 2015 03 18.57924 13 41 48.224 -08 37 00.08 24.4r 15GD59 568 C~2nvc 2015 03 18.62665 13 41 48.051 -08 36 59.20 24.0r 15GD59 568 C~2nvc 2015 03 20.58351 13 41 41.281 -08 36 19.08 24.0r 15GD59 568 C~2nvc 2015 04 11.51839 13 40 17.395 -08 28 13.90 23.9r 15GD59 568 C~2nvc 2015 04 13.38199 13 40 09.877 -08 27 31.32 24.4r 15GD59 568 C~2nvc 2015 04 13.44320 13 40 09.618 -08 27 29.91 24.2r 15GD59 568 C~2nvc 2015 04 13.52553 13 40 09.286 -08 27 28.02 24.0r 15GD59 568 C~2nvc 2015 04 19.49336 13 39 45.074 -08 25 12.01 23.7r 15GD59 568 C~2nvc 2015 04 19.54045 13 39 44.881 -08 25 11.02 23.8r 15GD59 568 C~2nvc 2015 05 18.34540 13 37 54.967 -08 15 12.96 24.0r 15GD59 568 C~2nvc 2016 02 04.62240 13 47 11.837 -09 11 42.49 24.5w 15GD59 568 C~2nvc 2016 02 11.60562 13 47 05.414 -09 10 53.90 24.3w 15GD59 568 C~2nvc 2016 03 11.60486 13 46 01.540 -09 04 13.36 24.0w 15GD59 568 C~2nvc 2016 04 03.48172 13 44 40.096 -08 56 20.22 24.3w 15GD59 568 C~2nvc 2016 04 09.46287 13 44 16.337 -08 54 05.76 24.2w 15GD59 568 C~2nvc 2016 05 02.35180 13 42 44.259 -08 45 37.02 15GD59 568 C~2nvc 2016 05 07.35515 13 42 24.979 -08 43 53.33 24.3w 15GD59 568 C~2nvc 2016 05 29.33555 13 41 10.570 -08 37 26.37 24.3w 15GD59 568 C~2nvc 2016 06 04.39796 13 40 54.030 -08 36 05.00 24.2w 15GD59 568 C~2nvc 2016 06 27.32960 13 40 12.367 -08 33 03.92 24.3w 15GD59 568 C~2nvc 2016 07 07.31994 13 40 05.797 -08 32 53.82 24.5w 15GD59 568 C~2nvc 2017 03 30.49709 13 48 50.440 -09 23 02.51 24.0w 15GD59 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 -0.01 0.00 0.02
2 0.0710 -1141.78 0.03 29.31 0.06
3 0.0712 -1144.49 -0.05 29.21 -0.06
4 0.0765 -1252.61 0.06 30.58 -0.02
5 0.1366 -2588.30 -0.04 35.72 0.08
6 0.1417 -2707.72 0.01 35.27 0.03
7 0.1418 -2711.81 -0.08 35.20 0.00
8 0.1421 -2717.09 0.01 35.19 0.04
9 0.1584 -3101.29 0.04 32.62 -0.09
10 0.1585 -3104.31 0.08 32.52 -0.17
11 0.2374 -4842.15 -0.05 1.39 0.03
12 0.9555 4081.95 -0.06 -201.01 0.01
13 0.9746 3975.74 0.09 -189.44 0.06
14 1.0540 2948.84 -0.02 -152.12 0.11
15 1.1166 1652.67 -0.02 -140.89 -0.00
16 1.1330 1275.77 -0.07 -141.19 -0.04
17 1.1957 -180.71 0.05 -154.99 0.02
18 1.2094 -484.72 0.01 -160.73 -0.00
19 1.2695 -1653.47 0.01 -195.92 -0.01
20 1.2861 -1911.64 -0.06 -208.23 -0.02
21 1.3489 -2553.44 -0.01 -261.73 -0.00
22 1.3763 -2648.00 0.05 -287.41 -0.02
23 2.1050 5688.88 0.01 -318.20 -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.
15GD59 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.475 44.492 44.459 ecceobj 0.094 0.095 0.093 incobj 3.200 3.199 3.200 qmin 39.687 39.662 39.720 qmax 50.126 50.120 50.035 amean 44.751 44.768 44.736 amin 44.387 44.405 44.370 amax 45.153 45.163 45.138 emean 0.095 0.096 0.094 emin 0.080 0.081 0.079 emax 0.110 0.111 0.109 imean 1.927 1.932 1.924 imin 1.238 1.240 1.235 imax 2.456 2.464 2.449 excite_mean 0.101 0.102 0.100 fracstop 1.000 1.000 1.000 cjmean 3.098 3.098 3.098 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 176.3 175.8 176.5 kozaiamp 179.9 180.0 180.0