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: 16SR58 # Created Sat Apr 27 01:18:10 2024 # Orbit generated from Bernstein formalism # Fitting 22 observations of 22 # Arc: 4.05y # First observation: 2013/10/29 # Last observation: 2017/11/15 Preliminary a, adot, b, bdot, g, gdot: 0.000074 0.033064 0.000037 0.015731 0.028159 0.000000 # Chi-squared of fit: 5.46 DOF: 38 RMS: 0.09 # Min/Max residuals: -0.19 0.26 # Exact a, adot, b, bdot, g, gdot: 1.811491E-05 3.347322E-02 9.293296E-06 1.593921E-02 2.855569E-02 3.633280E-03 # Covariance matrix: 9.0144E-13 -8.0730E-13 2.3016E-13 -3.1802E-13 -4.1573E-13 -4.8319E-12 -8.0730E-13 1.0232E-12 -3.1520E-13 4.5698E-13 3.1122E-13 6.9931E-12 2.3016E-13 -3.1520E-13 3.8717E-13 -2.4983E-13 -1.0466E-13 -2.2560E-12 -3.1802E-13 4.5698E-13 -2.4983E-13 2.6389E-13 1.2369E-13 3.3038E-12 -4.1573E-13 3.1122E-13 -1.0466E-13 1.2369E-13 4.4075E-13 1.8306E-12 -4.8319E-12 6.9931E-12 -2.2560E-12 3.3038E-12 1.8306E-12 5.0631E-11 # lat0 lon0 xBary yBary zBary JD0 -14.613700 32.722449 -0.049144 -0.249965 -0.959187 2456594.658628 # Heliocentric elements and errors Epoch: 2456590.5000 = 2013/10/25 Mean Anomaly: 3.81894 +/- 0.006 Argument of Peri: 313.36479 +/- 0.028 Long of Asc Node: 60.13427 +/- 0.000 Inclination: 28.89032 +/- 0.000 Eccentricity: 0.55790867 +/- 0.0002 Semi-Major Axis: 80.24485078 +/- 0.0258 Time of Perihelion: 2453805.2480 +/- 4.5 Perihelion: 35.47555290 +/- 0.0169 Aphelion: 125.01414867 +/- 0.0421 Period (y) 718.8429 +/- 0.35 # Ecliptic coordinates at JD0 (AU and AU/d) Ecliptic X 29.31505490 +/- 0.0007 Ecliptic Y 18.89810823 +/- 0.0004 Ecliptic Z -8.83511870 +/- 0.0002 Ecliptic XDOT -0.00113307 +/- 0.0000 Ecliptic YDOT 0.00308905 +/- 0.0000 Ecliptic ZDOT 0.00139103 +/- 0.0000 # Distances at JD0 (AU) Heliocenter to KBO 35.98013704 +/- 0.0006 Geocenter to KBO 35.01928751 +/- 0.0008 # Hcoef: 7.68
The following table shows the complete astrometric record for 16SR58. 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 (16SR58) followed by the observatory code and reference code for the source of the astrometry.
2013 10 29.15785 02 21 55.506 -01 20 29.38 23.7g 16SR58 W84 C~55Zx 2014 08 19.38758 02 32 16.537 +00 35 47.00 23.4r 16SR58 W84 C~55Zx 2014 08 19.38895 02 32 16.531 +00 35 47.03 23.4z 16SR58 W84 C~55Zx 2014 08 19.39031 02 32 16.532 +00 35 46.95 22.9i 16SR58 W84 C~55Zx 2014 09 24.29476 02 30 47.063 +00 22 29.26 22.3i 16SR58 W84 C~55Zx 2014 09 24.29614 02 30 47.059 +00 22 29.05 24.3g 16SR58 W84 C~55Zx 2014 10 01.34252 02 30 17.102 +00 19 34.17 23.2r 16SR58 W84 C~55Zx 2014 10 21.31020 02 28 38.209 +00 11 53.63 23.2r 16SR58 W84 C~55Zx 2014 10 21.31157 02 28 38.199 +00 11 53.66 24.1g 16SR58 W84 C~55Zx 2015 11 22.14137 02 31 44.759 +01 33 18.67 22.7z 16SR58 W84 C~55Zx 2016 09 10.36578 02 43 14.934 +03 23 16.59 23.7r 16SR58 W84 C~55Zx 2016 09 27.61245 02 42 16.16 +03 17 11.4 24.1g 16SR58 568 C~2eAJ 2016 09 27.61246 02 42 16.16 +03 17 11.4 24.1g 16SR58 568 C~55Zx 2016 09 28.50135 02 42 12.52 +03 16 51.8 23.9g 16SR58 568 C~2eAJ 2016 09 28.54927 02 42 12.32 +03 16 50.8 23.9g 16SR58 568 C~2eAJ 2016 09 28.63420 02 42 11.96 +03 16 48.9 24.1g 16SR58 568 C~2eAJ 2016 09 28.63421 02 42 11.96 +03 16 48.9 24.1g 16SR58 568 C~55Zx 2016 09 29.51325 02 42 08.30 +03 16 29.5 24.0g 16SR58 568 C~2eAJ 2016 11 11.11619 02 38 31.409 +03 03 00.24 22.2z 16SR58 W84 C~55Zx 2016 12 21.12333 02 35 28.100 +03 01 38.18 22.7i 16SR58 W84 C~55Zx 2017 11 15.14825 02 44 01.031 +04 29 18.27 22.4i 16SR58 W84 C~55Zx 2017 11 15.14962 02 44 01.025 +04 29 18.28 22.6r 16SR58 W84 C~55Zx
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 0.09 0.00 -0.10
2 0.8056 11125.49 -0.01 3456.48 -0.03
3 0.8056 11125.41 -0.06 3456.54 0.05
4 0.8056 11125.40 -0.05 3456.46 -0.02
5 0.9039 9589.53 0.19 3153.41 0.15
6 0.9039 9589.41 0.15 3153.23 -0.03
7 0.9232 9106.39 -0.03 3138.82 -0.05
8 0.9778 7551.74 -0.11 3201.46 -0.02
9 0.9778 7551.61 -0.12 3201.54 0.04
10 2.0643 11836.98 -0.19 6876.48 -0.08
11 2.8671 23896.99 0.06 9676.92 -0.07
12 2.9143 22932.05 0.01 9622.92 0.03
13 2.9143 22932.05 0.01 9622.92 0.03
14 2.9168 22873.35 -0.03 9622.46 0.02
15 2.9169 22870.15 0.03 9622.51 0.06
16 2.9171 22864.35 0.01 9622.50 0.05
17 2.9171 22864.35 0.01 9622.50 0.05
18 2.9195 22805.44 -0.03 9622.33 0.05
19 3.0362 19435.16 -0.17 9937.15 -0.08
20 3.1457 16797.86 0.26 10775.97 0.13
21 4.0465 25909.18 -0.01 13226.38 -0.10
22 4.0465 25909.10 0.02 13226.41 -0.08
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.
16SR58 quality flag:3 Type: SCATNEAR SCATNEAR SCATNEAR axisobj 81.362 81.452 81.273 ecceobj 0.564 0.565 0.564 incobj 28.883 28.883 28.883 qmin 34.193 33.560 34.098 qmax 128.632 129.352 128.716 amean 80.029 80.029 80.029 amin 78.737 78.835 78.694 amax 81.876 81.775 81.861 emean 0.560 0.567 0.556 emin 0.543 0.549 0.541 emax 0.573 0.582 0.573 imean 27.538 26.847 27.843 imin 26.959 26.217 27.001 imax 28.476 28.008 28.636 excite_mean 0.726 0.725 0.726 fracstop 1.000 1.000 1.000 cjmean 2.772 2.771 2.772 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 165.9 210.3 146.9 kozaiamp 180.0 180.0 180.0