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: 13JR65
# Created Thu Apr 18 01:14:41 2024
# Orbit generated from Bernstein formalism
# Fitting 27 observations of 27
# Arc: 2.00y
# First observation: 2013/04/17
# Last observation: 2015/04/18
Preliminary a, adot, b, bdot, g, gdot:
-0.000117 0.027705 0.000008 -0.004456 0.025956 0.000000
# Chi-squared of fit: 3.51 DOF: 48 RMS: 0.06
# Min/Max residuals: -0.13 0.14
# Exact a, adot, b, bdot, g, gdot:
1.610768E-05 2.760036E-02 -3.358293E-06 -4.443827E-03 2.607565E-02 -2.855311E-03
# Covariance matrix:
1.6823E-13 -1.0387E-13 -3.6936E-16 4.9429E-16 8.7556E-14 8.7976E-14
-1.0387E-13 5.1407E-13 1.2296E-14 -7.1396E-14 2.5374E-13 9.2927E-12
-3.6936E-16 1.2296E-14 1.3197E-13 -1.0356E-13 7.4841E-15 2.9836E-13
4.9429E-16 -7.1396E-14 -1.0356E-13 1.4598E-13 -4.7478E-14 -1.7393E-12
8.7556E-14 2.5374E-13 7.4841E-15 -4.7478E-14 3.8638E-13 6.5508E-12
8.7976E-14 9.2927E-12 2.9836E-13 -1.7393E-12 6.5508E-12 2.2701E-10
# lat0 lon0 xBary yBary zBary JD0
7.593031 -119.976764 0.540192 0.112106 -0.840856 2456399.969218
# Heliocentric elements and errors
Epoch: 2456390.5000 = 2013/04/08
Mean Anomaly: 329.24911 +/- 0.083
Argument of Peri: 184.68677 +/- 0.139
Long of Asc Node: 98.15142 +/- 0.002
Inclination: 11.72394 +/- 0.001
Eccentricity: 0.18640321 +/- 0.0004
Semi-Major Axis: 46.02867222 +/- 0.0089
Time of Perihelion: 2466133.5818 +/- 26.1
Perihelion: 37.44878009 +/- 0.0208
Aphelion: 54.60856436 +/- 0.0222
Period (y) 312.2848 +/- 0.09
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -19.88412324 +/- 0.0005
Ecliptic Y -33.39122015 +/- 0.0008
Ecliptic Z 5.06731602 +/- 0.0001
Ecliptic XDOT 0.00262164 +/- 0.0000
Ecliptic YDOT -0.00124367 +/- 0.0000
Ecliptic ZDOT -0.00050197 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 39.19221392 +/- 0.0007
Geocenter to KBO 38.34995571 +/- 0.0009
# Hcoef: 7.84
The following table shows the complete astrometric record for 13JR65. 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 (13JR65) followed by the observatory code and reference code for the source of the astrometry.
2013 04 17.46844 15 57 56.731 -12 43 38.54 23.9r 13JR65 568 C~1XRg 2013 04 19.44641 15 57 48.602 -12 43 05.89 23.7r 13JR65 568 C~1XRg 2013 04 19.50094 15 57 48.373 -12 43 05.00 23.6r 13JR65 568 C~1XRg 2013 05 08.43031 15 56 21.100 -12 37 57.75 23.7r 13JR65 568 C~1XRg 2013 05 08.47938 15 56 20.863 -12 37 56.95 23.5r 13JR65 568 C~1XRg 2013 05 08.52324 15 56 20.634 -12 37 56.25 23.3r 13JR65 568 C~1XRg 2013 05 09.53023 15 56 15.625 -12 37 40.74 13JR65 568 C~1XRg 2013 05 10.53581 15 56 10.601 -12 37 25.45 23.4r 13JR65 568 C~1XRg 2013 06 06.38838 15 53 54.489 -12 31 46.45 24.0r 13JR65 568 C~1XRg 2013 07 02.34127 15 52 01.365 -12 29 27.17 24.1r 13JR65 568 C~1XRg 2013 07 03.37823 15 51 57.622 -12 29 26.21 23.7r 13JR65 568 C~1XRg 2014 03 06.58616 16 05 40.779 -13 27 14.16 13JR65 568 C~1XRg 2014 03 06.59120 16 05 40.782 -13 27 14.17 23.4r 13JR65 568 C~1XRg 2014 03 07.56585 16 05 40.511 -13 27 04.57 23.8r 13JR65 568 C~1XRg 2014 05 01.40606 16 03 06.588 -13 14 09.64 23.5r 13JR65 568 C~1XRg 2014 05 01.45743 16 03 06.336 -13 14 08.80 23.7r 13JR65 568 C~1XRg 2014 05 04.40376 16 02 52.318 -13 13 23.53 23.9r 13JR65 568 C~1XRg 2014 05 04.45442 16 02 52.072 -13 13 22.87 23.6r 13JR65 568 C~1XRg 2014 05 04.50508 16 02 51.826 -13 13 22.15 23.8r 13JR65 568 C~1XRg 2014 05 25.49675 16 01 05.743 -13 08 30.52 23.6r 13JR65 568 C~1XRg 2014 06 02.47294 16 00 24.849 -13 07 00.67 23.4r 13JR65 568 C~1XRg 2014 07 01.38714 15 58 12.767 -13 04 01.12 23.8r 13JR65 568 C~1XRg 2014 07 18.36111 15 57 18.103 -13 04 24.38 23.9r 13JR65 568 C~1XRg 2014 07 26.28881 15 57 00.621 -13 05 10.73 24.0r 13JR65 568 C~1XRg 2015 03 22.57876 16 11 35.433 -13 57 34.87 23.9r 13JR65 568 C~1XRg 2015 04 18.50253 16 10 17.938 -13 51 21.75 23.6r 13JR65 568 C~2LSW 2015 04 18.56543 16 10 17.683 -13 51 20.93 23.7r 13JR65 568 C~1XRg
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 0.13 0.00 0.14
2 0.0054 -123.10 -0.08 7.72 -0.13
3 0.0056 -126.56 -0.04 7.91 -0.13
4 0.0574 -1439.62 -0.05 47.39 -0.02
5 0.0575 -1443.18 0.09 47.46 0.05
6 0.0576 -1446.60 -0.02 47.46 0.05
7 0.0604 -1521.55 -0.01 47.59 0.08
8 0.0632 -1596.66 0.02 47.45 0.05
9 0.1367 -3616.75 0.00 -32.29 -0.08
10 0.2077 -5266.75 0.05 -241.36 -0.07
11 0.2106 -5320.59 -0.09 -251.90 0.08
12 0.8846 7168.93 -0.07 -1206.96 -0.00
13 0.8847 7168.98 0.00 -1206.97 -0.05
14 0.8873 7163.21 -0.03 -1198.32 0.08
15 1.0375 4805.82 0.12 -882.12 0.01
16 1.0376 4802.05 0.02 -882.02 0.04
17 1.0457 4592.33 -0.06 -878.36 0.06
18 1.0458 4588.68 -0.01 -878.43 -0.04
19 1.0460 4585.02 0.04 -878.44 -0.09
20 1.1034 3008.12 0.03 -902.33 -0.08
21 1.1253 2404.77 -0.03 -934.41 -0.06
22 1.2044 478.52 -0.02 -1149.23 -0.01
23 1.2509 -298.69 -0.02 -1334.90 0.06
24 1.2726 -539.24 0.02 -1432.51 0.02
25 1.9277 12604.76 0.03 -1996.35 0.09
26 2.0015 11421.84 -0.01 -1844.96 0.03
27 2.0016 11418.02 -0.01 -1844.86 -0.09
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.
13JR65 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 45.896 45.917 45.874 ecceobj 0.187 0.188 0.186 incobj 11.716 11.717 11.716 qmin 36.758 36.709 36.761 qmax 56.182 56.308 56.145 amean 46.266 46.290 46.248 amin 45.861 45.887 45.854 amax 46.724 46.756 46.730 emean 0.187 0.188 0.186 emin 0.174 0.175 0.173 emax 0.203 0.205 0.203 imean 9.622 9.614 9.621 imin 9.031 9.010 9.026 imax 10.373 10.369 10.373 excite_mean 0.251 0.252 0.250 fracstop 1.000 1.000 1.000 cjmean 3.052 3.052 3.052 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 181.7 181.7 181.9 kozaiamp 180.0 180.0 180.0