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: 16LS90 # Created Fri Nov 22 02:10:42 2024 # Orbit generated by ELGB # -->Covariance matrix from a Bernstein fit # Fitting 14 observations of 14 # Arc: 6.11y # First observation: 2013/04/22 # Last observation: 2019/06/02 # Chi-squared of fit: 2.77 DOF: 22 RMS: 0.08 # Min/Max residuals: -0.11 0.22 # Exact a, adot, b, bdot, g, gdot: 1.687316E-05 2.719993E-02 -9.410843E-07 -1.237482E-03 2.551072E-02 2.088928E-03 # Covariance matrix: 1.4361E-12 -7.2330E-13 -3.8864E-14 2.7073E-14 -3.0337E-13 -3.0845E-12 -7.2330E-13 5.2465E-13 4.1625E-14 -2.3513E-14 3.9939E-13 2.5493E-12 -3.8864E-14 4.1625E-14 6.8217E-13 -1.4630E-13 5.8872E-14 2.0848E-13 2.7073E-14 -2.3513E-14 -1.4630E-13 3.7532E-14 -2.1160E-14 -1.2208E-13 -3.0337E-13 3.9939E-13 5.8872E-14 -2.1160E-14 7.2912E-13 1.9418E-12 -3.0845E-12 2.5493E-12 2.0848E-13 -1.2208E-13 1.9418E-12 1.3362E-11 # lat0 lon0 xBary yBary zBary JD0 22.202540 -124.885544 0.391955 0.350606 -0.858905 2456404.765129 # Heliocentric elements and errors Epoch: 2456404.5000 = 2013/04/22 Mean Anomaly: 19.15740 +/- 0.032 Argument of Peri: 68.66830 +/- 0.048 Long of Asc Node: 138.12865 +/- 0.001 Inclination: 21.82393 +/- 0.000 Eccentricity: 0.17257648 +/- 0.0001 Semi-Major Axis: 47.62318182 +/- 0.0062 Time of Perihelion: 2450016.5699 +/- 10.6 Perihelion: 39.40454068 +/- 0.0070 Aphelion: 55.84182297 +/- 0.0087 Period (y) 328.6516 +/- 0.06 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X -21.60821035 +/- 0.0007 Ecliptic Y -30.30545755 +/- 0.0010 Ecliptic Z 14.81264363 +/- 0.0005 Ecliptic XDOT 0.00224082 +/- 0.0000 Ecliptic YDOT -0.00188078 +/- 0.0000 Ecliptic ZDOT -0.00003810 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 40.05928491 +/- 0.0009 Geocenter to KBO 39.19917961 +/- 0.0013 # Hcoef: 7.36
The following table shows the complete astrometric record for 16LS90. 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 (16LS90) followed by the observatory code and reference code for the source of the astrometry.
2013 04 22.264351 15 51 57.73 +02 33 22.1 16LS90 W84 C~83EO 2016 04 10.293996 16 10 33.53 +01 11 23.8 16LS90 W84 C~83EO 2016 04 10.313821 16 10 33.48 +01 11 24.4 16LS90 W84 C~83EO 2016 06 09.447477 16 06 08.066 +01 29 49.72 23.4r 16LS90 568 C~4qZn 2016 06 09.525052 16 06 07.702 +01 29 49.89 23.4r 16LS90 568 C~4qZn 2016 06 10.443816 16 06 03.464 +01 29 51.61 23.3r 16LS90 568 C~4qZn 2016 06 10.520512 16 06 03.103 +01 29 51.73 23.3r 16LS90 568 C~4qZn 2016 08 02.986883 16 03 14.83 +01 16 57.5 16LS90 W84 C~83EO 2017 07 22.129777 16 09 28.03 +00 57 08.4 16LS90 W84 C~83EO 2018 04 14.401827 16 22 09.34 +00 22 45.6 16LS90 W84 C~83EO 2019 06 01.393737 16 24 35.67 +00 13 16.1 16LS90 T14 C~83EO 2019 06 01.411818 16 24 35.59 +00 13 16.2 16LS90 T14 C~83EO 2019 06 02.329985 16 24 31.14 +00 13 23.4 16LS90 T14 C~83EO 2019 06 02.342733 16 24 31.08 +00 13 23.4 16LS90 T14 C~83EO
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 0.01 0.00 0.04
2 2.9679 0.00 -0.10 0.00 -0.08
3 2.9680 0.00 0.12 0.00 -0.08
4 3.1326 0.00 -0.06 0.00 -0.01
5 3.1328 0.00 -0.04 0.00 -0.00
6 3.1353 0.00 -0.04 0.00 0.00
7 3.1355 0.00 -0.07 0.00 0.00
8 3.2819 0.00 0.22 0.00 0.14
9 4.2488 0.00 -0.11 0.00 -0.01
10 4.9778 0.00 0.02 0.00 0.04
11 6.1085 0.00 -0.02 0.00 -0.01
12 6.1085 0.00 0.12 0.00 -0.05
13 6.1111 0.00 -0.09 0.00 0.08
14 6.1111 0.00 -0.05 0.00 -0.01
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.
16LS90 quality flag:3 Type: 2:1E 2:1E 2:1E axisobj 47.424 47.424 47.424 ecceobj 0.169 0.169 0.169 incobj 21.827 21.827 21.827 qmin 37.080 37.080 37.080 qmax 59.021 59.020 59.021 amean 47.798 47.798 47.798 amin 47.370 47.370 47.370 amax 48.311 48.311 48.311 emean 0.172 0.172 0.172 emin 0.128 0.128 0.128 emax 0.223 0.223 0.223 imean 20.604 20.604 20.604 imin 19.585 19.585 19.585 imax 21.655 21.655 21.656 excite_mean 0.392 0.392 0.392 fracstop 1.000 1.000 1.000 cjmean 2.953 2.953 2.953 libcent 0 278.9 278.9 278.9 libamp 0 20.2 20.2 20.2 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 187.0 187.1 187.1 kozaiamp 180.0 180.0 179.9