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: 13RP158
# Created Sat May 4 01:15:04 2024
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 26 observations of 26
# Arc: 18.05y
# First observation: 2000/08/28
# Last observation: 2018/09/14
# Chi-squared of fit: 8.27 DOF: 46 RMS: 0.10
# Min/Max residuals: -0.24 0.21
# Exact a, adot, b, bdot, g, gdot:
1.623137E-05 2.441257E-02 -4.801954E-07 -1.705490E-05 2.447632E-02 5.206633E-04
# Covariance matrix:
7.3344E-13 -9.5189E-14 -7.2538E-17 3.8490E-17 -5.0862E-14 -1.1950E-13
-9.5189E-14 3.7072E-14 4.6739E-17 -2.2746E-17 5.2254E-14 7.2732E-14
-7.2538E-17 4.6739E-17 6.3563E-13 -3.9271E-14 8.7225E-17 9.8050E-17
3.8490E-17 -2.2746E-17 -3.9271E-14 2.6371E-15 -2.6975E-17 -4.8351E-17
-5.0862E-14 5.2254E-14 8.7225E-17 -2.6975E-17 2.4426E-13 1.0361E-13
-1.1950E-13 7.2732E-14 9.8050E-17 -4.8351E-17 1.0361E-13 1.5390E-13
# lat0 lon0 xBary yBary zBary JD0
0.236018 -23.907768 0.022615 0.003983 -1.006633 2451784.676133
# Heliocentric elements and errors
Epoch: 2451784.5000 = 2000/08/28
Mean Anomaly: 16.27514 +/- 0.022
Argument of Peri: 80.51772 +/- 0.038
Long of Asc Node: 237.22081 +/- 0.028
Inclination: 0.23305 +/- 0.000
Eccentricity: 0.05948796 +/- 0.0001
Semi-Major Axis: 44.38701564 +/- 0.0035
Time of Perihelion: 2446901.2981 +/- 6.7
Perihelion: 41.74652252 +/- 0.0040
Aphelion: 47.02750876 +/- 0.0044
Period (y) 295.7278 +/- 0.03
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 38.26701102 +/- 0.0008
Ecliptic Y -16.98100471 +/- 0.0003
Ecliptic Z 0.16826427 +/- 0.0000
Ecliptic XDOT 0.00115262 +/- 0.0000
Ecliptic YDOT 0.00247811 +/- 0.0000
Ecliptic ZDOT -0.00000152 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 41.86580960 +/- 0.0007
Geocenter to KBO 40.85584577 +/- 0.0008
# Hcoef: 7.07
The following table shows the complete astrometric record for 13RP158. 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 (13RP158) followed by the observatory code and reference code for the source of the astrometry.
2000 08 28.17539 22 31 07.04 -09 03 26.8 23.0R 13RP158 807 C~55Nc 2000 08 28.24800 22 31 06.72 -09 03 28.8 13RP158 807 C~55Nc 2013 09 02.25333 23 37 43.424 -02 10 39.63 24.1g 13RP158 W84 C~55Nc 2013 10 12.09209 23 34 52.769 -02 29 03.82 22.2i 13RP158 W84 C~55Nc 2013 10 12.11624 23 34 52.694 -02 29 04.35 21.5z 13RP158 W84 C~55Nc 2013 10 13.06097 23 34 49.047 -02 29 28.15 23.0z 13RP158 W84 C~55Nc 2013 10 13.08293 23 34 48.947 -02 29 28.70 23.9i 13RP158 W84 C~55Nc 2014 08 18.28289 23 43 46.187 -01 31 43.15 22.7z 13RP158 W84 C~55Nc 2014 10 28.12146 23 38 58.350 -02 02 50.66 23.3r 13RP158 W84 C~55Nc 2015 11 06.06654 23 43 32.744 -01 33 26.77 23.2r 13RP158 W84 C~55Nc 2016 10 09.14158 23 50 07.401 -00 50 51.46 23.2r 13RP158 W84 C~55Nc 2017 07 30.48295 23 59 39.61 +00 10 52.3 23.9r 13RP158 T09 C~7bI9 2017 07 30.51304 23 59 39.54 +00 10 51.8 23.6r 13RP158 T09 C~7bI9 2017 07 30.55852 23 59 39.44 +00 10 51.3 23.4r 13RP158 T09 C~7bI9 2017 07 30.59918 23 59 39.34 +00 10 50.8 23.5r 13RP158 T09 C~7bI9 2017 09 17.30234 23 56 43.29 -00 08 08.5 23.1i 13RP158 T09 C~7bI9 2017 09 17.34515 23 56 43.10 -00 08 09.6 23.2i 13RP158 T09 C~7bI9 2017 09 17.38552 23 56 42.92 -00 08 10.8 23.9i 13RP158 T09 C~7bI9 2017 09 18.22364 23 56 39.235 -00 08 34.67 23.2i 13RP158 W84 C~55Nc 2017 09 27.15527 23 55 59.943 -00 12 50.53 22.9i 13RP158 W84 C~55Nc 2017 10 11.19736 23 54 59.985 -00 19 21.74 23.0z 13RP158 W84 C~55Nc 2017 11 15.03377 23 53 05.897 -00 31 51.34 23.7g 13RP158 W84 C~55Nc 2017 11 17.02897 23 53 01.668 -00 32 19.14 23.9i 13RP158 W84 C~55Nc 2017 11 18.02928 23 52 59.696 -00 32 32.64 23.6g 13RP158 W84 C~55Nc 2018 09 14.30257 00 01 57.361 +00 25 41.76 22.9r 13RP158 W84 C~55Nc 2018 09 14.30394 00 01 57.361 +00 25 41.61 22.4i 13RP158 W84 C~55Nc
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 0.06
2 0.0002 0.00 0.10 0.00 -0.01
3 13.0132 0.00 0.05 0.00 -0.14
4 13.1223 0.00 -0.15 0.00 -0.06
5 13.1224 0.00 0.17 0.00 0.02
6 13.1249 0.00 0.21 0.00 -0.04
7 13.1250 0.00 0.00 0.00 -0.04
8 13.9715 0.00 -0.02 0.00 0.08
9 14.1655 0.00 -0.07 0.00 0.08
10 15.1893 0.00 -0.08 0.00 0.11
11 16.1149 0.00 -0.03 0.00 -0.24
12 16.9208 0.00 -0.12 0.00 -0.11
13 16.9208 0.00 -0.08 0.00 -0.16
14 16.9210 0.00 0.06 0.00 0.02
15 16.9211 0.00 0.03 0.00 0.12
16 17.0544 0.00 -0.01 0.00 0.04
17 17.0545 0.00 -0.00 0.00 0.16
18 17.0546 0.00 -0.00 0.00 0.12
19 17.0569 0.00 0.02 0.00 0.00
20 17.0814 0.00 0.06 0.00 -0.00
21 17.1198 0.00 0.00 0.00 0.03
22 17.2152 0.00 0.13 0.00 -0.01
23 17.2207 0.00 -0.24 0.00 0.11
24 17.2234 0.00 0.05 0.00 -0.14
25 18.0455 0.00 0.04 0.00 0.09
26 18.0455 0.00 0.13 0.00 -0.03
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.
13RP158 quality flag:3 Type: CLASSICAL CLASSICAL CLASSICAL axisobj 44.486 44.486 44.486 ecceobj 0.062 0.062 0.062 incobj 0.233 0.233 0.233 qmin 41.025 41.023 41.027 qmax 47.824 47.814 47.826 amean 44.308 44.307 44.308 amin 43.959 43.960 43.959 amax 44.683 44.682 44.683 emean 0.056 0.056 0.056 emin 0.040 0.040 0.040 emax 0.071 0.071 0.070 imean 2.062 2.062 2.062 imin 1.406 1.406 1.406 imax 2.578 2.578 2.580 excite_mean 0.066 0.066 0.066 fracstop 1.000 1.000 1.000 cjmean 3.100 3.100 3.100 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 180.7 180.7 180.8 kozaiamp 180.0 180.0 180.0