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: 13GX137
# Created Sun Nov 24 02:09:22 2024
# Orbit generated from Bernstein formalism
# Fitting 44 observations of 44
# Arc: 4.29y
# First observation: 2013/02/08
# Last observation: 2017/05/25
Preliminary a, adot, b, bdot, g, gdot:
-0.000143 0.023179 0.000008 -0.001608 0.023755 0.000000
# Chi-squared of fit: 28.03 DOF: 82 RMS: 0.14
# Min/Max residuals: -0.37 0.38
# Exact a, adot, b, bdot, g, gdot:
1.604908E-05 2.281040E-02 7.245346E-07 -1.578135E-03 2.359300E-02 -7.851333E-04
# Covariance matrix:
1.1074E-13 -4.6725E-14 -1.8528E-15 3.3166E-15 6.8583E-14 -6.3440E-13
-4.6725E-14 2.1958E-13 5.0723E-15 -1.8141E-14 7.6199E-14 3.5002E-12
-1.8528E-15 5.0723E-15 5.2894E-14 -2.5416E-14 2.7910E-16 9.9220E-14
3.3166E-15 -1.8141E-14 -2.5416E-14 3.2412E-14 -5.6132E-15 -3.4113E-13
6.8583E-14 7.6199E-14 2.7910E-16 -5.6132E-15 1.3864E-13 1.0908E-12
-6.3440E-13 3.5002E-12 9.9220E-14 -3.4113E-13 1.0908E-12 6.5796E-11
# lat0 lon0 xBary yBary zBary JD0
1.263475 -145.280780 0.951292 0.005754 -0.258496 2456332.064938
# Heliocentric elements and errors
Epoch: 2456330.5000 = 2013/02/07
Mean Anomaly: 286.03201 +/- 0.069
Argument of Peri: 242.58002 +/- 0.107
Long of Asc Node: 51.09062 +/- 0.002
Inclination: 4.13445 +/- 0.000
Eccentricity: 0.05630833 +/- 0.0003
Semi-Major Axis: 43.19497635 +/- 0.0025
Time of Perihelion: 2477635.8967 +/- 19.9
Perihelion: 40.76273921 +/- 0.0152
Aphelion: 45.62721348 +/- 0.0152
Period (y) 283.8952 +/- 0.02
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -35.58327821 +/- 0.0006
Ecliptic Y -23.49839224 +/- 0.0004
Ecliptic Z 0.93462437 +/- 0.0000
Ecliptic XDOT 0.00157297 +/- 0.0000
Ecliptic YDOT -0.00212520 +/- 0.0000
Ecliptic ZDOT -0.00018496 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 42.65228773 +/- 0.0005
Geocenter to KBO 42.38544688 +/- 0.0007
# Hcoef: 7.37
The following table shows the complete astrometric record for 13GX137. 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 (13GX137) followed by the observatory code and reference code for the source of the astrometry.
2013 02 08.56416 14 11 31.100 -11 54 13.98 23.9r 13GX137 568 C~1XRZ 2013 02 08.61375 14 11 31.065 -11 54 13.51 24.2r 13GX137 568 C~1XRZ 2013 02 08.61869 14 11 31.085 -11 54 13.56 23.7r 13GX137 568 C~1XRZ 2013 02 08.62358 14 11 31.091 -11 54 13.72 23.9r 13GX137 568 C~1XRZ 2013 03 07.54942 14 10 45.378 -11 49 53.99 23.2r 13GX137 568 C~1XRZ 2013 03 07.60676 14 10 45.203 -11 49 53.03 23.5r 13GX137 568 C~1XRZ 2013 04 04.42185 14 09 04.433 -11 41 01.20 24.0r 13GX137 568 C~1XRZ 2013 04 04.46234 14 09 04.256 -11 41 00.45 23.5r 13GX137 568 C~1XRZ 2013 04 04.50260 14 09 04.079 -11 40 59.48 23.5r 13GX137 568 C~1XRZ 2013 04 04.55066 14 09 03.877 -11 40 58.49 23.5r 13GX137 568 C~1XRZ 2013 04 05.55312 14 08 59.561 -11 40 36.17 22.9r 13GX137 568 C~1XRZ 2013 04 05.55702 14 08 59.539 -11 40 35.96 23.2r 13GX137 568 C~1XRZ 2013 04 06.59497 14 08 55.045 -11 40 12.82 23.1r 13GX137 568 C~1XRZ 2013 04 07.41104 14 08 51.482 -11 39 54.30 23.7r 13GX137 568 C~1XRZ 2013 04 07.45481 14 08 51.316 -11 39 53.43 23.5r 13GX137 568 C~1XRZ 2013 04 08.39569 14 08 47.195 -11 39 31.98 24.1r 13GX137 568 C~1XRZ 2013 04 08.44342 14 08 46.990 -11 39 30.98 23.9r 13GX137 568 C~1XRZ 2013 04 08.48862 14 08 46.787 -11 39 30.08 22.9r 13GX137 568 C~1XRZ 2013 04 09.39004 14 08 42.817 -11 39 09.59 23.0r 13GX137 568 C~1XRZ 2013 04 09.43325 14 08 42.611 -11 39 08.46 23.3r 13GX137 568 C~1XRZ 2013 04 09.47643 14 08 42.412 -11 39 07.51 23.2r 13GX137 568 C~1XRZ 2013 05 11.42609 14 06 17.459 -11 26 54.10 23.8r 13GX137 568 C~1XRZ 2013 05 12.42771 14 06 13.109 -11 26 32.43 23.7r 13GX137 568 C~1XRZ 2013 06 13.26550 14 04 17.477 -11 17 21.69 23.8r 13GX137 568 C~1XRZ 2013 06 13.30597 14 04 17.352 -11 17 21.17 24.0r 13GX137 568 C~1XRZ 2013 07 04.28711 14 03 37.154 -11 14 40.84 23.7r 13GX137 568 C~1XRZ 2013 07 06.29463 14 03 35.145 -11 14 35.41 23.6r 13GX137 568 C~1XRZ 2014 02 25.52781 14 16 07.085 -12 23 31.54 23.7r 13GX137 568 C~1XRZ 2014 02 27.63879 14 16 02.902 -12 23 08.82 23.7r 13GX137 568 C~1XRZ 2014 03 27.43390 14 14 37.735 -12 15 42.85 13GX137 568 C~1XRZ 2014 03 27.45320 14 14 37.662 -12 15 42.89 24.3r 13GX137 568 C~1XRZ 2014 03 28.42997 14 14 33.810 -12 15 22.96 23.4r 13GX137 568 C~1XRZ 2014 03 28.46901 14 14 33.665 -12 15 22.27 23.7r 13GX137 568 C~1XRZ 2014 04 05.39741 14 14 00.943 -12 12 35.12 23.9r 13GX137 568 C~1XRZ 2014 05 22.38158 14 10 31.051 -11 55 15.35 23.8r 13GX137 568 C~1XRZ 2014 05 25.45403 14 10 18.793 -11 54 16.76 23.5r 13GX137 568 C~1XRZ 2014 05 25.45812 14 10 18.801 -11 54 16.87 23.3r 13GX137 568 C~1XRZ 2014 05 28.35824 14 10 07.625 -11 53 23.99 24.0r 13GX137 568 C~1XRZ 2015 01 26.63271 14 21 19.003 -12 56 03.45 23.5r 13GX137 568 C~1XRZ 2015 03 21.61206 14 20 01.770 -12 49 07.34 23.6r 13GX137 568 C~2KOG 2016 05 07.36834 14 21 39.334 -13 03 41.14 23.7r 13GX137 568 C~2KOG 2016 05 07.43430 14 21 39.030 -13 03 39.74 23.4r 13GX137 568 C~2KOG 2016 05 29.34785 14 20 05.036 -12 56 20.36 23.9w 13GX137 568 C~2KOG 2017 05 25.46246 14 25 26.850 -13 28 55.45 23.6r 13GX137 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 -0.16 0.00 -0.37
2 0.0001 -0.64 -0.33 0.27 -0.12
3 0.0001 -0.35 0.01 0.32 -0.07
4 0.0002 -0.21 0.20 0.20 -0.19
5 0.0739 -719.48 0.01 20.54 0.03
6 0.0740 -722.22 -0.17 20.58 0.07
7 0.1502 -2294.80 -0.10 25.12 0.07
8 0.1503 -2297.51 -0.06 24.95 -0.07
9 0.1504 -2300.28 -0.10 24.99 -0.01
10 0.1505 -2303.41 0.03 24.92 -0.04
11 0.1533 -2370.63 -0.04 24.63 -0.09
12 0.1533 -2371.00 -0.15 24.71 0.00
13 0.1561 -2440.97 -0.03 24.31 -0.11
14 0.1584 -2496.50 -0.35 24.14 -0.08
15 0.1585 -2499.08 0.09 24.14 -0.05
16 0.1611 -2563.32 0.07 23.98 0.08
17 0.1612 -2566.49 0.21 23.90 0.05
18 0.1613 -2569.61 0.25 23.75 -0.07
19 0.1638 -2631.43 0.27 23.42 -0.11
20 0.1639 -2634.66 0.06 23.47 -0.03
21 0.1640 -2637.73 0.02 23.38 -0.08
22 0.2515 -4891.30 0.06 -5.20 -0.05
23 0.2542 -4958.86 0.18 -6.46 0.11
24 0.3414 -6746.76 -0.05 -65.45 0.16
25 0.3415 -6748.67 -0.22 -65.58 0.13
26 0.3990 -7359.99 0.20 -116.14 -0.10
27 0.4045 -7389.67 -0.11 -121.11 0.05
28 1.0458 4401.74 0.18 -313.54 0.13
29 1.0515 4336.36 0.11 -312.32 0.17
30 1.1276 3010.61 -0.13 -304.36 0.38
31 1.1277 3009.61 0.06 -304.75 -0.00
32 1.1304 2949.72 -0.17 -304.67 0.14
33 1.1305 2947.49 0.04 -304.72 0.11
34 1.1522 2439.43 -0.03 -306.17 0.17
35 1.2808 -810.02 -0.17 -352.70 0.06
36 1.2892 -999.17 -0.12 -357.78 0.19
37 1.2892 -999.02 0.28 -357.85 0.14
38 1.2972 -1171.30 0.13 -363.02 0.05
39 1.9632 9360.08 0.23 -661.48 -0.14
40 2.1110 8154.58 -0.06 -636.23 -0.15
41 3.2411 9790.91 -0.10 -998.03 -0.02
42 3.2413 9786.24 -0.02 -998.15 -0.04
43 3.3013 8341.47 -0.09 -1030.25 -0.15
44 4.2899 13435.42 0.03 -1358.22 -0.12
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.
13GX137 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 43.044 43.052 43.037 ecceobj 0.058 0.058 0.058 incobj 4.139 4.139 4.139 qmin 40.205 40.210 40.174 qmax 46.682 46.691 46.685 amean 43.350 43.358 43.343 amin 43.007 43.017 43.002 amax 43.706 43.718 43.702 emean 0.050 0.050 0.050 emin 0.030 0.030 0.029 emax 0.069 0.069 0.069 imean 2.605 2.610 2.601 imin 1.707 1.714 1.697 imax 3.525 3.526 3.526 excite_mean 0.068 0.068 0.068 fracstop 1.000 1.000 1.000 cjmean 3.088 3.088 3.088 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 186.0 185.6 185.6 kozaiamp 180.0 180.0 179.9