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: 13GS137
# Created Fri Apr 19 01:14:31 2024
# Orbit generated from Bernstein formalism
# Fitting 29 observations of 29
# Arc: 4.15y
# First observation: 2013/03/07
# Last observation: 2017/05/02
Preliminary a, adot, b, bdot, g, gdot:
-0.000161 0.027256 0.000003 -0.000622 0.025678 0.000000
# Chi-squared of fit: 6.85 DOF: 52 RMS: 0.09
# Min/Max residuals: -0.32 0.14
# Exact a, adot, b, bdot, g, gdot:
1.617540E-05 2.700694E-02 -6.508840E-07 -6.167941E-04 2.575078E-02 4.364037E-04
# Covariance matrix:
1.6560E-13 -1.1102E-13 -1.1932E-15 1.7963E-15 9.8769E-14 -9.8495E-13
-1.1102E-13 3.1060E-13 1.9291E-15 -6.5158E-15 3.7508E-14 3.2441E-12
-1.1932E-15 1.9291E-15 7.7541E-14 -3.3854E-14 -7.9296E-16 2.3798E-14
1.7963E-15 -6.5158E-15 -3.3854E-14 4.1971E-14 -1.0343E-15 -7.8579E-14
9.8769E-14 3.7508E-14 -7.9296E-16 -1.0343E-15 1.8731E-13 3.6441E-13
-9.8495E-13 3.2441E-12 2.3798E-14 -7.8579E-14 3.6441E-13 3.9196E-11
# lat0 lon0 xBary yBary zBary JD0
2.304209 -143.858243 0.750030 0.026193 -0.649965 2456359.029968
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 359.34101 +/- 0.122
Argument of Peri: 119.97202 +/- 0.149
Long of Asc Node: 95.82468 +/- 0.008
Inclination: 2.59607 +/- 0.000
Eccentricity: 0.09795123 +/- 0.0001
Semi-Major Axis: 43.77631918 +/- 0.0040
Time of Perihelion: 2456544.1559 +/- 35.8
Perihelion: 39.48837500 +/- 0.0047
Aphelion: 48.06426336 +/- 0.0053
Period (y) 289.6457 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -32.30167489 +/- 0.0005
Ecliptic Y -22.66100268 +/- 0.0004
Ecliptic Z 1.56130467 +/- 0.0000
Ecliptic XDOT 0.00164769 +/- 0.0000
Ecliptic YDOT -0.00234705 +/- 0.0000
Ecliptic ZDOT -0.00006352 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.48869352 +/- 0.0005
Geocenter to KBO 38.83377255 +/- 0.0007
# Hcoef: 7.74
The following table shows the complete astrometric record for 13GS137. 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 (13GS137) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.52919 14 18 24.281 -11 23 32.32 23.7r 13GS137 568 C~1XRY 2013 03 07.58437 14 18 24.112 -11 23 31.41 23.9r 13GS137 568 C~1XRY 2013 03 07.63858 14 18 23.963 -11 23 30.45 24.0r 13GS137 568 C~1XRY 2013 04 04.53075 14 16 40.293 -11 13 46.73 23.6r 13GS137 568 C~1XRY 2013 04 07.39123 14 16 27.355 -11 12 37.25 23.5r 13GS137 568 C~1XRY 2013 04 07.43502 14 16 27.159 -11 12 36.15 23.5r 13GS137 568 C~1XRY 2013 04 08.42366 14 16 22.619 -11 12 12.17 13GS137 568 C~1XRY 2013 04 08.46889 14 16 22.398 -11 12 10.91 23.4r 13GS137 568 C~1XRY 2013 04 09.37047 14 16 18.244 -11 11 48.78 23.7r 13GS137 568 C~1XRY 2013 04 09.41358 14 16 18.043 -11 11 47.72 23.2r 13GS137 568 C~1XRY 2013 04 09.45659 14 16 17.836 -11 11 46.69 23.5r 13GS137 568 C~1XRY 2013 05 11.45828 14 13 43.653 -10 58 40.35 23.6r 13GS137 568 C~1XRY 2013 05 12.45620 14 13 38.988 -10 58 17.52 23.6r 13GS137 568 C~1XRY 2013 06 12.35550 14 11 36.411 -10 48 51.74 24.0r 13GS137 568 C~1XRY 2013 06 12.39986 14 11 36.267 -10 48 51.01 23.4r 13GS137 568 C~1XRY 2013 07 04.31530 14 10 48.607 -10 45 58.99 23.5r 13GS137 568 C~1XRY 2013 07 06.32311 14 10 46.293 -10 45 54.51 24.0r 13GS137 568 C~1XRY 2014 02 24.58174 14 24 43.856 -11 58 14.91 24.0r 13GS137 568 C~1XRY 2014 02 25.55135 14 24 42.205 -11 58 03.64 13GS137 568 C~1XRY 2014 02 28.51276 14 24 36.613 -11 57 27.14 24.1r 13GS137 568 C~1XRY 2014 03 28.44557 14 23 09.168 -11 49 05.93 23.8r 13GS137 568 C~1XRY 2014 03 28.48463 14 23 09.006 -11 49 05.09 22.4r 13GS137 568 C~1XRY 2014 04 05.41760 14 22 35.115 -11 46 04.40 23.8r 13GS137 568 C~1XRY 2014 05 22.41728 14 18 52.095 -11 27 36.70 23.8r 13GS137 568 C~1XRY 2014 05 28.38945 14 18 26.714 -11 25 40.03 23.5r 13GS137 568 C~1XRY 2015 04 21.42104 14 27 20.959 -12 11 59.04 23.9r 13GS137 568 C~2KOG 2015 04 21.48737 14 27 20.634 -12 11 57.38 23.5r 13GS137 568 C~2KOG 2017 05 02.32616 14 38 29.65 -13 10 41.8 23.5R 13GS137 G37 C~2Fa1 2017 05 02.39317 14 38 29.30 -13 10 40.2 13GS137 G37 C~2Fa1
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 0.08 0.00 0.06
2 0.0002 -2.65 -0.07 0.05 -0.01
3 0.0003 -5.03 -0.01 0.23 0.06
4 0.0767 -1637.04 0.05 50.84 -0.02
5 0.0845 -1839.67 -0.13 53.79 0.07
6 0.0846 -1842.76 -0.03 53.88 0.14
7 0.0873 -1913.74 0.06 54.52 -0.07
8 0.0874 -1917.22 -0.11 54.64 0.03
9 0.0899 -1982.23 0.03 55.40 0.03
10 0.0900 -1985.37 0.06 55.43 0.05
11 0.0902 -1988.59 0.02 55.40 0.01
12 0.1778 -4391.12 0.12 47.69 -0.11
13 0.1805 -4463.53 0.11 46.46 -0.07
14 0.2651 -6355.78 0.02 -19.87 -0.09
15 0.2652 -6358.02 -0.10 -19.89 0.03
16 0.3252 -7078.22 0.00 -91.88 -0.02
17 0.3307 -7111.90 -0.03 -99.04 0.08
18 0.9693 5951.49 -0.01 -157.07 -0.04
19 0.9720 5924.90 -0.03 -154.21 0.08
20 0.9801 5835.38 -0.08 -146.12 -0.00
21 1.0566 4457.88 0.01 -86.51 0.04
22 1.0567 4455.35 0.02 -86.49 0.03
23 1.0784 3925.80 0.03 -76.76 -0.02
24 1.2071 466.42 -0.14 -96.98 0.04
25 1.2234 75.65 0.03 -108.94 0.02
26 2.1215 8401.41 0.04 -197.26 -0.32
27 2.1217 8396.35 0.08 -197.21 -0.25
28 4.1528 18845.74 0.09 -457.99 0.13
29 4.1529 18840.34 -0.10 -458.05 0.13
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.
13GS137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.601 43.614 43.589 ecceobj 0.094 0.095 0.094 incobj 2.595 2.595 2.595 qmin 38.984 38.954 38.991 qmax 49.146 49.133 49.166 amean 43.927 43.940 43.914 amin 43.574 43.585 43.560 amax 44.308 44.318 44.309 emean 0.090 0.091 0.090 emin 0.073 0.074 0.073 emax 0.110 0.110 0.110 imean 0.932 0.931 0.934 imin 0.086 0.088 0.084 imax 1.558 1.558 1.556 excite_mean 0.092 0.093 0.092 fracstop 1.000 1.000 1.000 cjmean 3.090 3.090 3.090 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 194.7 198.2 189.9 kozaiamp 180.0 180.0 180.0