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: 13GC138
# Created Fri Apr 19 01:14:31 2024
# Orbit generated from Bernstein formalism
# Fitting 33 observations of 33
# Arc: 3.25y
# First observation: 2013/03/07
# Last observation: 2016/06/05
Preliminary a, adot, b, bdot, g, gdot:
-0.000132 0.021681 0.000006 -0.000809 0.022956 0.000000
# Chi-squared of fit: 8.04 DOF: 60 RMS: 0.09
# Min/Max residuals: -0.17 0.26
# Exact a, adot, b, bdot, g, gdot:
1.481255E-05 2.162025E-02 -4.228122E-07 -8.029734E-04 2.309572E-02 -5.847730E-04
# Covariance matrix:
1.2864E-13 -1.1119E-13 -1.3772E-15 3.6486E-15 2.7554E-14 -1.7021E-12
-1.1119E-13 3.4053E-13 4.9699E-15 -1.4956E-14 1.2163E-13 7.0130E-12
-1.3772E-15 4.9699E-15 9.2010E-14 -5.9389E-14 1.4750E-15 1.3560E-13
3.6486E-15 -1.4956E-14 -5.9389E-14 7.4228E-14 -5.3951E-15 -4.0181E-13
2.7554E-14 1.2163E-13 1.4750E-15 -5.3951E-15 1.5428E-13 2.5468E-12
-1.7021E-12 7.0130E-12 1.3560E-13 -4.0181E-13 2.5468E-12 1.8831E-10
# lat0 lon0 xBary yBary zBary JD0
2.214905 -141.872000 0.771858 0.024171 -0.623975 2456359.054538
# Heliocentric elements and errors
Epoch: 2456350.5000 = 2013/02/27
Mean Anomaly: 240.88975 +/- 0.355
Argument of Peri: 257.75912 +/- 0.353
Long of Asc Node: 83.27923 +/- 0.010
Inclination: 3.02550 +/- 0.001
Eccentricity: 0.05026605 +/- 0.0005
Semi-Major Axis: 42.80135298 +/- 0.0025
Time of Perihelion: 2490190.5741 +/- 100.8
Perihelion: 40.64989792 +/- 0.0231
Aphelion: 44.95280805 +/- 0.0231
Period (y) 280.0235 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.00075407 +/- 0.0006
Ecliptic Y -26.48949452 +/- 0.0005
Ecliptic Z 1.67336782 +/- 0.0000
Ecliptic XDOT 0.00162775 +/- 0.0000
Ecliptic YDOT -0.00197491 +/- 0.0000
Ecliptic ZDOT -0.00009766 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 43.92660088 +/- 0.0005
Geocenter to KBO 43.29806772 +/- 0.0007
# Hcoef: 7.23
The following table shows the complete astrometric record for 13GC138. 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 (13GC138) followed by the observatory code and reference code for the source of the astrometry.
2013 03 07.55376 14 25 57.500 -12 07 10.68 24.0r 13GC138 568 C~1XRa 2013 03 07.61085 14 25 57.347 -12 07 09.90 23.5r 13GC138 568 C~1XRa 2013 04 04.55473 14 24 24.046 -11 58 42.16 23.6r 13GC138 568 C~1XRa 2013 04 07.41499 14 24 12.315 -11 57 41.35 23.1r 13GC138 568 C~1XRa 2013 04 07.45875 14 24 12.129 -11 57 40.32 23.6r 13GC138 568 C~1XRa 2013 04 08.44736 14 24 08.001 -11 57 19.08 23.9r 13GC138 568 C~1XRa 2013 04 08.49256 14 24 07.803 -11 57 18.04 22.4r 13GC138 568 C~1XRa 2013 04 09.39399 14 24 04.026 -11 56 58.54 23.4r 13GC138 568 C~1XRa 2013 04 09.43719 14 24 03.829 -11 56 57.65 23.4r 13GC138 568 C~1XRa 2013 04 09.48059 14 24 03.664 -11 56 56.68 23.8r 13GC138 568 C~1XRa 2013 05 11.48217 14 21 41.717 -11 45 14.73 23.6r 13GC138 568 C~1XRa 2013 07 04.33899 14 18 52.171 -11 33 10.64 23.8r 13GC138 568 C~1XRa 2013 07 06.34710 14 18 49.542 -11 33 04.29 23.7r 13GC138 568 C~1XRa 2013 08 02.27448 14 18 47.036 -11 34 28.54 23.9r 13GC138 568 C~1XRa 2014 02 02.65078 14 31 14.608 -12 37 26.17 23.5r 13GC138 568 C~1XRa 2014 02 02.65647 14 31 14.629 -12 37 26.14 23.5r 13GC138 568 C~1XRa 2014 02 03.59530 14 31 15.081 -12 37 25.56 23.9r 13GC138 568 C~1XRa 2014 02 24.57786 14 31 03.914 -12 35 36.19 23.5r 13GC138 568 C~1XRa 2014 02 24.60122 14 31 03.874 -12 35 35.97 23.5r 13GC138 568 C~1XRa 2014 02 25.54746 14 31 02.454 -12 35 26.63 23.7r 13GC138 568 C~1XRa 2014 02 25.58427 14 31 02.402 -12 35 26.34 23.9r 13GC138 568 C~1XRa 2014 02 28.53222 14 30 57.485 -12 34 55.32 23.7r 13GC138 568 C~1XRa 2014 03 28.44948 14 29 38.959 -12 27 40.63 23.8r 13GC138 568 C~1XRa 2014 03 28.48858 14 29 38.813 -12 27 39.82 23.5r 13GC138 568 C~1XRa 2014 04 05.42266 14 29 08.080 -12 25 00.86 23.6r 13GC138 568 C~1XRa 2014 05 22.43816 14 25 42.290 -12 08 27.51 23.8r 13GC138 568 C~1XRa 2014 05 25.37427 14 25 30.366 -12 07 33.77 23.6r 13GC138 568 C~1XRa 2014 05 25.37889 14 25 30.352 -12 07 33.62 23.6r 13GC138 568 C~1XRa 2014 05 25.38376 14 25 30.327 -12 07 33.47 23.6r 13GC138 568 C~1XRa 2014 05 25.40152 14 25 30.242 -12 07 33.23 23.7r 13GC138 568 C~1XRa 2014 06 26.34216 14 23 49.244 -12 00 32.66 23.8r 13GC138 568 C~1XRa 2016 05 29.36402 14 34 49.373 -12 59 04.36 23.9w 13GC138 568 C~2KOG 2016 06 05.34911 14 34 22.851 -12 57 12.21 23.8w 13GC138 568 C~2KOG
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 -0.00 0.00 -0.03
2 0.0002 -2.38 -0.11 0.02 -0.10
3 0.0767 -1461.62 -0.10 41.99 -0.02
4 0.0845 -1644.18 0.04 44.23 -0.09
5 0.0846 -1647.10 0.01 44.33 -0.00
6 0.0873 -1711.29 0.03 44.96 -0.05
7 0.0874 -1714.38 -0.06 45.01 -0.01
8 0.0899 -1773.14 0.08 45.65 0.01
9 0.0900 -1776.16 -0.06 45.56 -0.09
10 0.0901 -1778.76 0.23 45.70 0.04
11 0.1778 -3978.07 -0.08 37.70 0.08
12 0.3252 -6570.69 -0.07 -86.69 0.14
13 0.3307 -6609.33 0.01 -93.29 0.04
14 0.4044 -6616.68 0.06 -184.99 -0.06
15 0.9092 4983.19 -0.17 -245.33 -0.08
16 0.9092 4983.47 0.08 -245.21 0.03
17 0.9118 4989.57 0.18 -242.57 0.19
18 0.9693 4799.84 0.03 -190.33 -0.07
19 0.9693 4799.21 -0.02 -190.30 -0.09
20 0.9719 4776.53 -0.10 -188.00 0.00
21 0.9720 4775.72 0.03 -187.96 -0.03
22 0.9801 4697.58 0.00 -181.24 -0.00
23 1.0565 3468.77 -0.12 -132.43 -0.05
24 1.0566 3466.48 -0.12 -132.34 0.01
25 1.0784 2989.02 0.26 -124.29 0.16
26 1.2071 -186.72 -0.08 -144.20 0.10
27 1.2151 -369.58 0.06 -149.31 -0.02
28 1.2151 -369.83 0.10 -149.23 0.07
29 1.2151 -370.22 0.01 -149.21 0.10
30 1.2152 -371.48 -0.13 -149.38 -0.03
31 1.3026 -1909.61 0.00 -226.89 -0.05
32 3.2274 8376.87 -0.02 -492.72 -0.01
33 3.2465 7972.92 0.02 -507.23 -0.08
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.
13GC138 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 42.656 42.663 42.649 ecceobj 0.054 0.054 0.054 incobj 3.025 3.025 3.025 qmin 39.639 39.670 39.656 qmax 46.477 46.500 46.440 amean 42.955 42.962 42.948 amin 42.622 42.620 42.612 amax 43.307 43.317 43.296 emean 0.056 0.056 0.056 emin 0.032 0.032 0.033 emax 0.074 0.074 0.073 imean 1.241 1.241 1.242 imin 0.020 0.028 0.020 imax 2.174 2.178 2.171 excite_mean 0.061 0.061 0.061 fracstop 1.000 1.000 1.000 cjmean 3.085 3.085 3.085 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 172.5 172.2 172.4 kozaiamp 180.0 180.0 180.0