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: 13RP156
# Created Fri Apr 26 01:14:57 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 14 observations of 14
# Arc: 8.16y
# First observation: 2013/09/08
# Last observation: 2021/11/05
# Chi-squared of fit: 6.27 DOF: 22 RMS: 0.12
# Min/Max residuals: -0.25 0.20
# Exact a, adot, b, bdot, g, gdot:
1.247041E-05 1.943353E-02 7.065960E-06 1.187635E-02 2.446202E-02 2.192649E-03
# Covariance matrix:
6.4732E-13 -1.3667E-13 4.9894E-14 -1.0365E-13 8.0549E-13 -1.1030E-12
-1.3667E-13 1.7363E-13 -5.5277E-14 1.1756E-13 -5.8344E-14 1.2206E-12
4.9894E-14 -5.5277E-14 1.8420E-13 -6.5537E-14 4.2518E-14 -4.2159E-13
-1.0365E-13 1.1756E-13 -6.5537E-14 9.6560E-14 -8.5774E-14 8.9497E-13
8.0549E-13 -5.8344E-14 4.2518E-14 -8.5774E-14 1.4652E-12 -9.4124E-13
-1.1030E-12 1.2206E-12 -4.2159E-13 8.9497E-13 -9.4124E-13 9.3104E-12
# lat0 lon0 xBary yBary zBary JD0
1.878475 1.007067 0.271769 0.031917 -0.970590 2456543.685078
# Heliocentric elements and errors
Epoch: 2456544.5000 = 2013/09/09
Mean Anomaly: 125.04652 +/- 0.106
Argument of Peri: 228.62393 +/- 0.087
Long of Asc Node: 357.64103 +/- 0.000
Inclination: 31.49475 +/- 0.000
Eccentricity: 0.11414185 +/- 0.0001
Semi-Major Axis: 38.98751774 +/- 0.0076
Time of Perihelion: 2425658.9088 +/- 27.8
Perihelion: 34.53741025 +/- 0.0076
Aphelion: 43.43762522 +/- 0.0092
Period (y) 243.4426 +/- 0.07
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 41.82686209 +/- 0.0020
Ecliptic Y 0.46642801 +/- 0.0000
Ecliptic Z 1.34030558 +/- 0.0001
Ecliptic XDOT 0.00015726 +/- 0.0000
Ecliptic YDOT 0.00217712 +/- 0.0000
Ecliptic ZDOT 0.00133670 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.85087752 +/- 0.0020
Geocenter to KBO 40.87967357 +/- 0.0020
# Hcoef: 7.27
The following table shows the complete astrometric record for 13RP156. 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 (13RP156) followed by the observatory code and reference code for the source of the astrometry.
2013 09 08.18430 00 00 42.351 +02 07 26.39 24.0g 13RP156 W84 C~52RM 2013 09 30.13263 23 58 57.921 +01 58 52.11 23.6r 13RP156 W84 C~52RM 2013 09 30.13409 23 58 57.912 +01 58 51.98 23.6i 13RP156 W84 C~52RM 2013 10 11.11811 23 58 06.711 +01 54 31.84 22.2z 13RP156 W84 C~52RM 2013 10 12.12332 23 58 02.171 +01 54 08.43 23.6i 13RP156 W84 C~52RM 2013 10 28.03531 23 56 55.690 +01 48 28.33 23.7r 13RP156 W84 C~52RM 2013 11 08.12914 23 56 17.221 +01 45 15.48 23.2r 13RP156 W84 C~52RM 2014 10 28.16115 23 59 55.391 +02 52 13.00 24.4g 13RP156 W84 C~52RM 2014 10 29.16530 23 59 51.525 +02 51 52.64 22.9r 13RP156 W84 C~52RM 2016 09 22.13137 00 08 33.249 +05 12 50.97 23.3r 13RP156 W84 C~52RM 2016 09 22.13275 00 08 33.244 +05 12 50.83 23.5g 13RP156 W84 C~52RN 2021 11 05.100620 00 20 15.493 +10 07 10.09 23.7G 13RP156 G37 C~5BQf 2021 11 05.150290 00 20 15.303 +10 07 08.95 13RP156 G37 C~5BQf 2021 11 05.198930 00 20 15.121 +10 07 07.92 13RP156 G37 C~5BQf
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 -0.03 0.00 0.12
2 0.0601 0.00 0.03 0.00 0.06
3 0.0601 0.00 0.00 0.00 -0.04
4 0.0902 0.00 0.01 0.00 0.20
5 0.0929 0.00 -0.05 0.00 -0.03
6 0.1365 0.00 0.03 0.00 -0.25
7 0.1669 0.00 0.16 0.00 0.03
8 1.1361 0.00 0.19 0.00 -0.05
9 1.1389 0.00 -0.23 0.00 -0.24
10 3.0389 0.00 -0.08 0.00 0.19
11 3.0389 0.00 -0.06 0.00 0.08
12 8.1586 0.00 0.02 0.00 -0.09
13 8.1587 0.00 -0.01 0.00 -0.05
14 8.1588 0.00 0.03 0.00 0.07
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.
13RP156 quality flag:3 Type: SCATEXTD SCATEXTD SCATEXTD axisobj 39.142 39.142 39.142 ecceobj 0.112 0.112 0.112 incobj 31.398 31.398 31.398 qmin 33.843 33.826 33.824 qmax 44.565 44.601 44.585 amean 39.054 39.056 39.054 amin 38.737 38.737 38.737 amax 39.411 39.408 39.419 emean 0.115 0.115 0.115 emin 0.101 0.101 0.101 emax 0.132 0.132 0.131 imean 31.795 31.796 31.795 imin 31.388 31.371 31.385 imax 32.206 32.199 32.208 excite_mean 0.539 0.539 0.539 fracstop 1.000 1.000 1.000 cjmean 2.694 2.694 2.694 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 187.0 187.6 186.9 kozaiamp 180.0 179.9 180.0