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: 13JM65
# Created Wed May 8 01:14:43 2024
# Orbit generated from Bernstein formalism
# Fitting 33 observations of 33
# Arc: 4.06y
# First observation: 2013/04/09
# Last observation: 2017/05/02
Preliminary a, adot, b, bdot, g, gdot:
-0.000079 0.015729 0.000005 -0.002535 0.019349 0.000000
# Chi-squared of fit: 11.91 DOF: 60 RMS: 0.11
# Min/Max residuals: -0.20 0.33
# Exact a, adot, b, bdot, g, gdot:
1.276463E-05 1.564485E-02 -2.193182E-06 -2.523162E-03 1.941563E-02 -4.098062E-04
# Covariance matrix:
1.8014E-13 -1.2308E-13 -6.5571E-15 1.4218E-14 1.3968E-13 -1.5983E-12
-1.2308E-13 2.7698E-13 1.4986E-14 -4.3457E-14 1.5954E-14 4.8848E-12
-6.5571E-15 1.4986E-14 8.3287E-14 -3.4566E-14 -1.5206E-15 2.8961E-13
1.4218E-14 -4.3457E-14 -3.4566E-14 3.4445E-14 -6.3924E-15 -8.5320E-13
1.3968E-13 1.5954E-14 -1.5206E-15 -6.3924E-15 3.2870E-13 7.1833E-13
-1.5983E-12 4.8848E-12 2.8961E-13 -8.5320E-13 7.1833E-13 9.5904E-11
# lat0 lon0 xBary yBary zBary JD0
6.681254 -122.785518 0.610070 0.092681 -0.791019 2456392.027708
# Heliocentric elements and errors
Epoch: 2456390.5000 = 2013/04/08
Mean Anomaly: 198.34933 +/- 0.231
Argument of Peri: 309.55512 +/- 0.232
Long of Asc Node: 92.06461 +/- 0.002
Inclination: 11.22792 +/- 0.000
Eccentricity: 0.12628540 +/- 0.0002
Semi-Major Axis: 46.64399030 +/- 0.0048
Time of Perihelion: 2508638.1758 +/- 74.3
Perihelion: 40.75353511 +/- 0.0106
Aphelion: 52.53444549 +/- 0.0111
Period (y) 318.5677 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -28.64320998 +/- 0.0008
Ecliptic Y -43.34332216 +/- 0.0013
Ecliptic Z 5.99230066 +/- 0.0002
Ecliptic XDOT 0.00185706 +/- 0.0000
Ecliptic YDOT -0.00118080 +/- 0.0000
Ecliptic ZDOT -0.00035996 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 52.29708138 +/- 0.0011
Geocenter to KBO 51.50489494 +/- 0.0015
# Hcoef: 7.09
The following table shows the complete astrometric record for 13JM65. 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 (13JM65) followed by the observatory code and reference code for the source of the astrometry.
2013 04 09.52693 15 45 58.574 -13 01 34.28 24.1r 13JM65 568 C~1XRg 2013 04 10.49580 15 45 55.700 -13 01 21.26 23.8r 13JM65 568 C~1XRg 2013 04 10.53608 15 45 55.559 -13 01 20.56 24.7r 13JM65 568 C~1XRg 2013 04 19.54976 15 45 26.628 -12 59 17.68 24.4r 13JM65 568 C~1XRg 2013 05 04.42521 15 44 32.430 -12 55 54.56 23.8r 13JM65 568 C~1XRg 2013 05 07.42802 15 44 20.796 -12 55 14.82 23.8r 13JM65 568 C~1XRg 2013 05 07.47225 15 44 20.613 -12 55 14.17 23.9r 13JM65 568 C~1XRg 2013 05 07.51247 15 44 20.457 -12 55 13.63 24.0r 13JM65 568 C~1XRg 2013 05 10.47981 15 44 08.814 -12 54 35.13 24.0r 13JM65 568 C~1XRg 2013 06 01.38796 15 42 42.105 -12 50 24.22 24.6r 13JM65 568 C~1XRg 2013 06 02.39467 15 42 38.239 -12 50 14.32 24.4r 13JM65 568 C~1XRg 2013 06 06.36358 15 42 23.093 -12 49 38.27 24.2r 13JM65 568 C~1XRg 2013 07 02.31641 15 40 57.063 -12 47 11.26 24.4r 13JM65 568 C~1XRg 2013 07 03.35437 15 40 54.254 -12 47 08.92 24.2r 13JM65 568 C~1XRg 2014 03 06.56097 15 50 29.152 -13 28 06.85 24.4r 13JM65 568 C~1XRg 2014 04 04.50977 15 49 40.618 -13 22 57.49 24.1r 13JM65 568 C~1XRg 2014 04 04.57895 15 49 40.425 -13 22 56.52 24.2r 13JM65 568 C~1XRg 2014 04 30.42479 15 48 16.503 -13 17 15.00 24.0r 13JM65 568 C~1XRg 2014 05 05.48752 15 47 57.263 -13 16 08.23 13JM65 568 C~1XRg 2014 05 06.41961 15 47 53.678 -13 15 56.17 24.1r 13JM65 568 C~1XRg 2014 05 06.43534 15 47 53.610 -13 15 55.98 24.0r 13JM65 568 C~1XRg 2014 05 06.48626 15 47 53.417 -13 15 55.23 24.1r 13JM65 568 C~1XRg 2014 05 06.56242 15 47 53.116 -13 15 54.31 24.1r 13JM65 568 C~1XRg 2014 05 22.46976 15 46 50.088 -13 12 40.09 13JM65 568 C~1XRg 2014 05 22.49015 15 46 50.010 -13 12 40.20 24.2r 13JM65 568 C~1XRg 2016 04 03.57901 15 56 39.514 -14 03 03.97 24.5w 13JM65 568 C~2LSW 2016 04 08.62856 15 56 26.077 -14 02 03.54 24.5w 13JM65 568 C~2LSW 2016 04 09.57252 15 56 23.417 -14 01 52.07 24.7w 13JM65 568 C~2LSW 2016 04 29.52172 15 55 17.326 -13 57 41.29 24.4w 13JM65 568 C~2LSW 2016 05 04.49428 15 54 58.634 -13 56 38.84 24.4w 13JM65 568 C~2LSW 2016 05 30.43368 15 53 15.604 -13 51 46.10 24.3w 13JM65 568 C~2LSW 2017 05 02.34669 15 58 39.21 -14 17 06.5 24.6R 13JM65 G37 C~2Fa2 2017 05 02.41270 15 58 38.96 -14 17 05.6 13JM65 G37 C~2Fa2
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 0.0027 -43.84 0.08 3.41 0.04
3 0.0028 -46.00 -0.20 3.64 0.14
4 0.0274 -485.55 -0.13 29.87 -0.08
5 0.0682 -1303.15 0.11 52.02 0.03
6 0.0764 -1477.83 0.04 52.91 -0.03
7 0.0765 -1480.58 -0.08 52.95 0.01
8 0.0766 -1482.92 -0.04 52.97 0.03
9 0.0847 -1657.46 -0.12 52.58 -0.07
10 0.1447 -2949.56 0.07 13.74 -0.08
11 0.1475 -3006.90 0.33 10.71 0.21
12 0.1583 -3230.90 0.03 -3.87 0.01
13 0.2294 -4490.48 -0.14 -144.01 -0.03
14 0.2322 -4531.06 -0.01 -151.02 0.06
15 0.9063 4204.05 0.09 -689.26 0.11
16 0.9856 3445.39 0.16 -540.95 -0.08
17 0.9858 3442.43 0.05 -540.61 -0.00
18 1.0565 2172.30 -0.05 -474.53 -0.20
19 1.0704 1883.58 -0.19 -470.90 -0.05
20 1.0729 1829.86 -0.03 -470.60 -0.06
21 1.0730 1828.85 -0.11 -470.63 -0.09
22 1.0731 1825.94 -0.02 -470.52 0.02
23 1.0733 1821.45 -0.02 -470.59 -0.05
24 1.1169 880.92 0.07 -483.34 0.25
25 1.1169 879.84 0.21 -483.69 -0.07
26 2.9844 9930.66 0.04 -1586.67 -0.06
27 2.9982 9726.32 -0.02 -1568.70 -0.00
28 3.0008 9685.97 0.09 -1565.64 -0.01
29 3.0554 8690.76 -0.18 -1523.53 -0.18
30 3.0690 8411.11 -0.02 -1520.13 -0.06
31 3.1401 6880.87 -0.07 -1553.47 0.00
32 4.0625 11814.72 0.04 -2047.15 0.10
33 4.0627 11810.97 0.04 -2047.02 0.19
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.
13JM65 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 46.523 46.537 46.508 ecceobj 0.130 0.129 0.130 incobj 11.222 11.222 11.222 qmin 40.088 40.166 40.141 qmax 53.902 53.973 53.913 amean 46.852 46.866 46.837 amin 46.473 46.479 46.432 amax 47.298 47.318 47.278 emean 0.127 0.127 0.127 emin 0.115 0.115 0.115 emax 0.140 0.141 0.141 imean 9.615 9.616 9.615 imin 9.194 9.191 9.194 imax 9.982 9.977 9.984 excite_mean 0.210 0.210 0.210 fracstop 1.000 1.000 1.000 cjmean 3.082 3.082 3.082 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 179.2 179.3 178.8 kozaiamp 180.0 180.0 180.0