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: 13HS156
# Created Fri Apr 19 01:14:32 2024
# Orbit generated from Bernstein formalism
# Fitting 20 observations of 20
# Arc: 3.12y
# First observation: 2013/04/17
# Last observation: 2016/05/29
Preliminary a, adot, b, bdot, g, gdot:
-0.000095 0.028665 0.000022 -0.004169 0.026258 0.000000
# Chi-squared of fit: 38.26 DOF: 34 RMS: 0.24
# Min/Max residuals: -1.24 0.40
# Exact a, adot, b, bdot, g, gdot:
1.527828E-05 2.861463E-02 -2.177851E-06 -4.143443E-03 2.663265E-02 -2.306104E-03
# Covariance matrix:
2.0337E-13 -2.4769E-13 -1.0281E-14 3.2153E-14 4.0103E-14 -2.5956E-12
-2.4769E-13 7.0181E-13 3.5457E-14 -1.0959E-13 1.0345E-13 8.8335E-12
-1.0281E-14 3.5457E-14 1.3782E-13 -8.1989E-14 5.0455E-15 5.1542E-13
3.2153E-14 -1.0959E-13 -8.1989E-14 1.1224E-13 -1.4218E-14 -1.5950E-12
4.0103E-14 1.0345E-13 5.0455E-15 -1.4218E-14 2.7024E-13 1.1320E-12
-2.5956E-12 8.8335E-12 5.1542E-13 -1.5950E-12 1.1320E-12 1.2859E-10
# lat0 lon0 xBary yBary zBary JD0
0.563597 -141.982869 0.183051 0.009743 -0.988842 2456399.964708
# Heliocentric elements and errors
Epoch: 2456390.5000 = 2013/04/08
Mean Anomaly: 336.75655 +/- 0.088
Argument of Peri: 209.18469 +/- 0.133
Long of Asc Node: 41.52468 +/- 0.000
Inclination: 8.26857 +/- 0.001
Eccentricity: 0.17462770 +/- 0.0002
Semi-Major Axis: 45.56802313 +/- 0.0046
Time of Perihelion: 2463644.6537 +/- 27.4
Perihelion: 37.61058409 +/- 0.0102
Aphelion: 53.52546218 +/- 0.0109
Period (y) 307.6086 +/- 0.05
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X -30.47064183 +/- 0.0006
Ecliptic Y -23.58727297 +/- 0.0004
Ecliptic Z 0.36929751 +/- 0.0000
Ecliptic XDOT 0.00198887 +/- 0.0000
Ecliptic YDOT -0.00217378 +/- 0.0000
Ecliptic ZDOT -0.00042812 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.53512476 +/- 0.0005
Geocenter to KBO 37.54789538 +/- 0.0007
# Hcoef: 8.46
The following table shows the complete astrometric record for 13HS156. 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 (13HS156) followed by the observatory code and reference code for the source of the astrometry.
2013 04 17.46393 14 23 21.054 -13 38 52.13 23.7r 13HS156 568 C~1XRb 2013 04 19.44191 14 23 11.134 -13 38 07.23 13HS156 568 C~1XRb 2013 04 19.49245 14 23 10.869 -13 38 06.17 24.2r 13HS156 568 C~1XRb 2013 04 19.54534 14 23 10.594 -13 38 04.83 24.0r 13HS156 568 C~1XRb 2013 05 11.47819 14 21 19.717 -13 29 46.56 24.1r 13HS156 568 C~1XRb 2013 05 12.48047 14 21 14.778 -13 29 24.76 24.1r 13HS156 568 C~1XRb 2013 06 12.37556 14 19 03.798 -13 19 56.23 24.3r 13HS156 568 C~1XRb 2013 08 02.27054 14 18 07.362 -13 17 53.54 24.4r 13HS156 568 C~1XRb 2013 08 05.27111 14 18 11.802 -13 18 25.39 13HS156 568 C~1XRb 2014 02 24.61287 14 32 34.674 -14 37 05.84 24.6r 13HS156 568 C~1XRc 2014 02 28.54389 14 32 27.864 -14 36 39.52 24.2r 13HS156 568 C~1XRc 2014 04 04.43513 14 30 30.559 -14 28 27.89 24.1r 13HS156 568 C~1XRc 2014 04 04.47439 14 30 30.374 -14 28 26.98 24.5r 13HS156 568 C~1XRc 2014 04 05.55924 14 30 25.443 -14 28 05.50 13HS156 568 C~1XRc 2014 05 22.43425 14 26 33.059 -14 11 11.38 24.3r 13HS156 568 C~1XRc 2014 05 25.36555 14 26 19.573 -14 10 13.44 24.3r 13HS156 568 C~1XRc 2014 05 25.37028 14 26 19.540 -14 10 13.23 24.0r 13HS156 568 C~1XRc 2014 06 26.33823 14 24 25.476 -14 02 21.20 24.8r 13HS156 568 C~1XRc 2016 05 29.20731 14 38 21.728 -15 38 11.25 24.1R 13HS156 G37 C~2bmq 2016 05 29.27731 14 38 21.394 -15 38 10.07 13HS156 G37 C~2bmq
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 0.35 0.00 -0.06
2 0.0054 -151.36 0.06 -4.14 0.09
3 0.0056 -155.35 0.01 -4.39 -0.02
4 0.0057 -159.58 -0.10 -4.41 0.09
5 0.0657 -1850.64 -0.12 -56.05 0.23
6 0.0685 -1925.86 -0.10 -58.80 0.02
7 0.1531 -3918.37 -0.21 -143.47 -0.09
8 0.2924 -4737.34 -0.05 -297.00 0.15
9 0.3006 -4665.64 0.30 -305.87 0.40
10 0.8574 8750.97 -0.03 -753.08 -1.24
11 0.8681 8648.67 0.10 -759.04 -0.10
12 0.9636 6874.74 0.01 -827.54 -0.03
13 0.9638 6871.90 -0.09 -827.53 0.09
14 0.9667 6797.08 -0.07 -829.72 0.24
15 1.0951 3270.28 -0.20 -939.67 0.23
16 1.1031 3065.87 0.11 -947.41 -0.05
17 1.1031 3065.34 -0.08 -947.36 0.01
18 1.1906 1341.99 0.06 -1031.99 -0.19
19 3.1150 14685.21 0.07 -2684.84 0.20
20 3.1152 14680.23 -0.02 -2685.20 0.02
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.
13HS156 quality flag:2 Type: SCATNEAR CLASSICAL CLASSICAL axisobj 45.380 45.392 45.367 ecceobj 0.173 0.173 0.173 incobj 8.281 8.281 8.281 qmin 37.065 36.944 37.048 qmax 54.811 55.065 54.771 amean 45.771 45.790 45.732 amin 45.345 45.372 45.328 amax 46.274 46.268 46.185 emean 0.171 0.174 0.172 emin 0.156 0.158 0.158 emax 0.187 0.191 0.187 imean 7.086 7.224 7.192 imin 6.415 6.469 6.464 imax 7.864 7.940 7.942 excite_mean 0.211 0.215 0.213 fracstop 1.000 1.000 1.000 cjmean 3.068 3.066 3.067 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 180.0 181.0 180.0 kozaiamp 180.0 179.9 180.0