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: 13JU64
# Created Thu Apr 25 01:14:35 2024
# Orbit generated from Bernstein formalism
# Fitting 21 observations of 22
# Arc: 4.10y
# First observation: 2013/04/19
# Last observation: 2017/05/26
Preliminary a, adot, b, bdot, g, gdot:
-0.000180 0.026493 0.000052 -0.012600 0.027220 0.000000
# Chi-squared of fit: 15.41 DOF: 36 RMS: 0.15
# Min/Max residuals: -0.64 0.25
# Exact a, adot, b, bdot, g, gdot:
1.440531E-05 2.632224E-02 -7.342923E-06 -1.251598E-02 2.739938E-02 4.522071E-05
# Covariance matrix:
2.2170E-13 -1.7219E-13 -2.8530E-14 7.1627E-14 1.4000E-13 -1.4201E-12
-1.7219E-13 3.8629E-13 7.2004E-14 -1.8402E-13 5.3040E-14 3.6494E-12
-2.8530E-14 7.2004E-14 1.3174E-13 -8.9932E-14 6.0934E-15 7.9308E-13
7.1627E-14 -1.8402E-13 -8.9932E-14 1.5598E-13 -1.8962E-14 -2.0253E-12
1.4000E-13 5.3040E-14 6.0934E-15 -1.8962E-14 4.2775E-13 3.7703E-13
-1.4201E-12 3.6494E-12 7.9308E-13 -2.0253E-12 3.7703E-13 4.0163E-11
# lat0 lon0 xBary yBary zBary JD0
8.667331 -121.726089 0.483068 0.133041 -0.872692 2456402.070528
# Heliocentric elements and errors
Epoch: 2456400.5000 = 2013/04/18
Mean Anomaly: 354.09104 +/- 0.173
Argument of Peri: 167.63072 +/- 0.198
Long of Asc Node: 74.76472 +/- 0.000
Inclination: 26.65788 +/- 0.000
Eccentricity: 0.06808841 +/- 0.0001
Semi-Major Axis: 40.08333491 +/- 0.0045
Time of Perihelion: 2457921.9339 +/- 44.5
Perihelion: 37.35412435 +/- 0.0052
Aphelion: 42.81254547 +/- 0.0057
Period (y) 253.7780 +/- 0.04
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -19.84725356 +/- 0.0005
Ecliptic Y -31.18355178 +/- 0.0007
Ecliptic Z 5.49980333 +/- 0.0001
Ecliptic XDOT 0.00212942 +/- 0.0000
Ecliptic YDOT -0.00154698 +/- 0.0000
Ecliptic ZDOT -0.00123554 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 37.37078019 +/- 0.0007
Geocenter to KBO 36.49717039 +/- 0.0009
# Hcoef: 8.71
The following table shows the complete astrometric record for 13JU64. 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 (13JU64) followed by the observatory code and reference code for the source of the astrometry.
2013 04 19.56975 15 51 56.109 -11 18 55.97 23.9r 13JU64 568 C~1XRe 2013 05 07.44791 15 50 26.362 -11 14 41.33 24.4r 13JU64 568 C~1XRe 2013 05 07.49211 15 50 26.126 -11 14 40.73 24.6r 13JU64 568 C~1XRe 2013 05 07.53231 15 50 25.912 -11 14 40.34 24.1r 13JU64 568 C~1XRe 2013 05 09.49257 15 50 15.368 -11 14 14.81 24.4r 13JU64 568 C~1XRe 2013 05 10.49969 15 50 09.915 -11 14 01.68 24.0r 13JU64 568 C~1XRe 2013 06 04.38093 15 47 54.121 -11 09 59.40 24.3r 13JU64 568 C~1XRe 2013 06 06.38422 15 47 43.581 -11 09 47.74 24.5r 13JU64 568 C~1XRe 2013 07 02.33668 15 45 43.461 -11 09 26.05 24.6r 13JU64 568 C~1XRe 2014 03 06.55593 15 59 20.874 -12 28 43.17 24.4r 13JU64 568 C~1XRe 2014 04 04.53519 15 58 21.270 -12 23 30.71 24.2r 13JU64 568 C~1XRe 2014 04 04.55383 15 58 21.204 -12 23 30.05 24.3r 13JU64 568 C~1XRe 2014 04 30.41699 15 56 28.736 -12 17 40.56 25.0r 13JU64 568 C~1XRe 2014 04 30.46831 15 56 28.516 -12 17 39.80 13JU64 568 C~1XRe 2014 05 05.47955 15 56 02.534 -12 16 34.74 24.2r 13JU64 568 C~1XRe 2014 05 06.41163 15 55 57.610 -12 16 22.99 24.3r 13JU64 568 C~1XRe 2014 05 06.47850 15 55 57.255 -12 16 22.21 24.3r 13JU64 568 C~1XRe 2014 05 06.55455 15 55 56.840 -12 16 21.22 24.3r 13JU64 568 C~1XRe 2014 07 01.37151 15 51 09.440 -12 10 43.71 24.4r 13JU64 568 C~1XRe 2014 07 01.37542 15 51 09.411 -12 10 43.83 24.6r 13JU64 568 C~1XRe 2017 05 26.33157 16 10 38.95 -15 15 09.4 13JU64 G37 C~2Gia 2017 05 26.38930 16 10 38.65 -15 15 08.8 13JU64 G37 C~2Gia
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 0.02
2 0.0489 -1344.13 -0.02 -33.71 0.07
3 0.0491 -1347.65 0.04 -33.87 0.10
4 0.0492 -1350.81 0.14 -34.16 -0.03
5 0.0545 -1507.81 0.01 -42.52 -0.02
6 0.0573 -1588.99 -0.11 -46.93 0.25
7 0.1254 -3592.65 -0.18 -241.44 0.04
8 0.1309 -3746.65 0.18 -263.69 -0.09
9 0.2020 -5477.61 -0.10 -627.39 -0.21
10 0.8788 7265.53 0.01 -2723.35 0.04
11 0.9582 6345.54 0.07 -2598.34 0.12
12 0.9582 6344.45 ( -0.02) -2597.89 ( 0.52)
13 1.0290 4658.44 -0.64 -2599.46 -0.27
14 1.0292 4655.13 -0.00 -2599.39 -0.04
15 1.0429 4268.93 0.06 -2615.53 0.00
16 1.0454 4195.87 0.04 -2619.17 -0.04
17 1.0456 4190.61 0.14 -2619.50 -0.08
18 1.0458 4184.45 0.07 -2619.81 -0.07
19 1.1986 -5.56 0.13 -3182.66 0.15
20 1.1986 -5.95 -0.03 -3182.87 -0.00
21 4.1006 19011.34 -0.18 -10559.12 -0.09
22 4.1008 19006.92 0.22 -10559.37 0.14
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.
13JU64 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 39.956 39.970 39.942 ecceobj 0.066 0.066 0.066 incobj 26.658 26.658 26.658 qmin 36.544 36.553 36.561 qmax 44.078 44.218 44.008 amean 40.216 40.244 40.200 amin 39.889 39.904 39.880 amax 40.542 40.587 40.526 emean 0.074 0.075 0.073 emin 0.061 0.062 0.060 emax 0.088 0.090 0.087 imean 24.945 24.940 24.945 imin 24.493 24.492 24.488 imax 25.475 25.475 25.473 excite_mean 0.428 0.428 0.428 fracstop 1.000 1.000 1.000 cjmean 2.840 2.840 2.840 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 186.8 188.6 187.0 kozaiamp 180.0 180.0 180.0