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: 13RV157
# Created Wed Apr 2 01:09:44 2025
# Orbit generated by ELGB
# -->Covariance matrix from a Bernstein fit
# Fitting 13 observations of 13
# Arc: 11.14y
# First observation: 2013/09/11
# Last observation: 2024/11/01
# Chi-squared of fit: 13.01 DOF: 20 RMS: 0.18
# Min/Max residuals: -0.43 0.22
# Exact a, adot, b, bdot, g, gdot:
1.951304E-05 3.078632E-02 -3.243767E-06 -6.115930E-03 2.682370E-02 9.124991E-03
# Covariance matrix:
5.2808E-13 -1.7224E-14 1.2254E-15 4.1086E-15 6.7338E-13 -7.2675E-14
-1.7224E-14 1.2602E-13 2.0600E-14 -2.3512E-14 2.2746E-13 3.6852E-13
1.2254E-15 2.0600E-14 2.1189E-13 -2.8265E-14 3.9284E-14 6.3573E-14
4.1086E-15 -2.3512E-14 -2.8265E-14 1.1336E-14 -3.3453E-14 -7.4183E-14
6.7338E-13 2.2746E-13 3.9284E-14 -3.3453E-14 1.7977E-12 5.0722E-13
-7.2675E-14 3.6852E-13 6.3573E-14 -7.4183E-14 5.0722E-13 1.1652E-12
# lat0 lon0 xBary yBary zBary JD0
2.953849 -8.128108 0.061581 0.051918 -1.004280 2456546.767898
# Heliocentric elements and errors
Epoch: 2456546.5000 = 2013/09/11
Mean Anomaly: 15.39604 +/- 0.010
Argument of Peri: 116.08947 +/- 0.013
Long of Asc Node: 185.99954 +/- 0.000
Inclination: 11.56257 +/- 0.000
Eccentricity: 0.50279367 +/- 0.0002
Semi-Major Axis: 67.99748161 +/- 0.0270
Time of Perihelion: 2447787.7058 +/- 7.6
Perihelion: 33.80877808 +/- 0.0172
Aphelion: 102.18618513 +/- 0.0419
Period (y) 560.7218 +/- 0.33
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 37.84354877 +/- 0.0018
Ecliptic Y -5.46392170 +/- 0.0003
Ecliptic Z 1.92098053 +/- 0.0001
Ecliptic XDOT 0.00139074 +/- 0.0000
Ecliptic YDOT 0.00297352 +/- 0.0000
Ecliptic ZDOT -0.00057528 +/- 0.0000
# Distances at JD0 (AU)
Heliocenter to KBO 38.28398691 +/- 0.0018
Geocenter to KBO 37.28029942 +/- 0.0019
# Hcoef: 8.04
The following table shows the complete astrometric record for 13RV157. 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 (13RV157) followed by the observatory code and reference code for the source of the astrometry.
2013 09 11.26712 23 25 28.820 -00 30 32.99 24.7g 13RV157 W84 C~52RP 2013 09 30.11140 23 24 02.814 -00 41 07.91 24.3r 13RV157 W84 C~52RP 2013 09 30.11286 23 24 02.811 -00 41 07.98 23.5i 13RV157 W84 C~52RP 2013 10 12.08642 23 23 12.886 -00 47 36.92 23.5i 13RV157 W84 C~52RP 2013 10 12.10619 23 23 12.815 -00 47 37.25 23.0z 13RV157 W84 C~52RP 2014 10 27.17110 23 29 17.584 -00 32 39.05 24.1r 13RV157 W84 C~52RP 2015 11 08.04459 23 35 33.754 -00 15 39.45 24.8r 13RV157 W84 C~52RP 2017 11 15.03240 23 48 29.324 +00 23 59.09 23.2r 13RV157 W84 C~52RP 2017 11 17.02350 23 48 25.452 +00 23 22.07 24.1r 13RV157 W84 C~52RP 2018 09 17.28275 23 58 36.079 +01 12 44.68 23.2i 13RV157 W84 C~52RP 2024 11 01.113800 00 31 52.043 +02 44 24.25 24.2G 13RV157 G37 C~8SP3 2024 11 01.160120 00 31 51.918 +02 44 23.50 13RV157 G37 C~8SP3 2024 11 01.206150 00 31 51.748 +02 44 22.26 13RV157 G37 C~8SP3
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 -0.23 0.00 -0.18
2 0.0516 0.00 0.06 0.00 0.01
3 0.0516 0.00 0.11 0.00 -0.02
4 0.0844 0.00 -0.02 0.00 -0.06
5 0.0844 0.00 0.10 0.00 0.22
6 1.1250 0.00 -0.07 0.00 0.20
7 2.1568 0.00 0.13 0.00 -0.11
8 4.1773 0.00 -0.12 0.00 0.12
9 4.1828 0.00 0.01 0.00 -0.33
10 5.0158 0.00 0.09 0.00 0.15
11 11.1399 0.00 -0.43 0.00 -0.26
12 11.1400 0.00 0.22 0.00 0.17
13 11.1401 0.00 0.18 0.00 0.10
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.
13RV157 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 68.674 68.674 68.674 ecceobj 0.508 0.508 0.508 incobj 11.540 11.540 11.540 qmin 33.269 32.874 33.272 qmax 105.927 106.335 105.796 amean 67.268 67.232 68.164 amin 62.478 64.537 66.628 amax 69.957 70.242 70.042 emean 0.490 0.493 0.495 emin 0.446 0.466 0.475 emax 0.515 0.516 0.514 imean 12.911 12.180 13.063 imin 11.325 10.474 11.325 imax 14.152 13.680 14.248 excite_mean 0.539 0.537 0.544 fracstop 1.000 1.000 1.000 cjmean 2.987 2.988 2.989 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 174.8 196.9 179.3 kozaiamp 179.9 179.9 179.9