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: 16RS105
# Created Wed Nov 27 02:10:42 2024
# Orbit generated from Bernstein formalism
# Fitting 10 observations of 10
# Arc: 10.09d
# First observation: 2016/08/28
# Last observation: 2016/09/07
Preliminary a, adot, b, bdot, g, gdot:
-0.000000 0.050572 -0.000001 0.003195 0.030983 0.000000
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# WARNING Fitting with energy constraint
# WARNING MRQMIN stopped after 13 iterations -- oscilliatory solution
# Chi-squared of fit: 5.13 DOF: 15 RMS: 0.13
# Min/Max residuals: -0.20 0.24
# Exact a, adot, b, bdot, g, gdot:
1.970466E-05 3.505244E-02 1.003617E-06 3.411968E-03 2.839166E-02 -6.011184E-03
# Covariance matrix:
1.4659E-11 2.5985E-08 -2.9343E-13 -3.6964E-10 4.3077E-09 2.6662E-08
2.5985E-08 4.7612E-05 -5.3721E-10 -6.7690E-07 7.8868E-06 4.7909E-05
-2.9343E-13 -5.3721E-10 4.6224E-13 -1.0542E-11 -8.8997E-11 -5.5227E-10
-3.6964E-10 -6.7690E-07 -1.0542E-11 1.0693E-08 -1.1212E-07 -6.6003E-07
4.3077E-09 7.8868E-06 -8.8997E-11 -1.1212E-07 1.3065E-06 8.0587E-06
2.6662E-08 4.7909E-05 -5.5227E-10 -6.6003E-07 8.0587E-06 2.5787E-04
# lat0 lon0 xBary yBary zBary JD0
3.391384 -5.735807 0.325181 0.056824 -0.956770 2457628.899099
# Heliocentric elements and errors
Epoch: 2457620.5000 = 2016/08/20
Mean Anomaly: 349.47130 +/- 25.344
Argument of Peri: 62.81679 +/- 75.146
Long of Asc Node: 323.27532 +/- 5.599
Inclination: 6.49101 +/- 1.072
Eccentricity: 0.47257869 +/- 0.3544
Semi-Major Axis: 65.20852084 +/- 38.3182
Time of Perihelion: 2463245.5618 +/- 12600.1
Perihelion: 34.39236362 +/- 30.6989
Aphelion: 96.02467806 +/- 60.9749
Period (y) 526.5804 +/- 464.15
# Ecliptic coordinates at JD0 (AU and AU/d)
Ecliptic X 35.90147134 +/- 1.4084
Ecliptic Y -3.93567202 +/- 0.1416
Ecliptic Z 2.08365039 +/- 0.0839
Ecliptic XDOT -0.00025574 +/- 0.0016
Ecliptic YDOT 0.00341606 +/- 0.0005
Ecliptic ZDOT 0.00029413 +/- 0.0001
# Distances at JD0 (AU)
Heliocenter to KBO 36.17660512 +/- 1.3978
Geocenter to KBO 35.22161323 +/- 1.4180
# Hcoef: 9.80
The following table shows the complete astrometric record for 16RS105. 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 (16RS105) followed by the observatory code and reference code for the source of the astrometry.
2016 08 28.39831 23 33 34.06 +00 50 09.5 25.6g 16RS105 T09 C~8Ahm 2016 08 28.40683 23 33 34.02 +00 50 09.1 26.0g 16RS105 T09 C~8Ahm 2016 08 28.41990 23 33 33.97 +00 50 08.6 25.7g 16RS105 T09 C~8Ahm 2016 09 05.35585 23 32 55.85 +00 46 31.7 25.1i 16RS105 T09 C~8Ahm 2016 09 05.36669 23 32 55.78 +00 46 31.4 25.8i 16RS105 T09 C~8Ahm 2016 09 05.39103 23 32 55.67 +00 46 30.5 25.1i 16RS105 T09 C~8Ahm 2016 09 07.40325 23 32 45.76 +00 45 33.1 25.1r 16RS105 T09 C~8Ahm 2016 09 07.44719 23 32 45.55 +00 45 31.6 25.2r 16RS105 T09 C~8Ahm 2016 09 07.47817 23 32 45.38 +00 45 30.9 24.8r 16RS105 T09 C~8Ahm 2016 09 07.49133 23 32 45.32 +00 45 30.4 25.2r 16RS105 T09 C~8Ahm
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 -0.04 0.00 0.18
2 0.0000 -0.71 -0.10 -0.13 0.02
3 0.0001 -1.60 0.01 -0.29 -0.20
4 0.0218 -612.50 0.24 26.85 0.00
5 0.0218 -613.58 0.02 26.99 0.11
6 0.0219 -615.45 0.09 26.81 -0.15
7 0.0274 -774.67 -0.08 32.94 0.12
8 0.0275 -778.16 -0.03 32.81 -0.16
9 0.0276 -780.78 -0.14 33.18 0.10
10 0.0276 -781.80 -0.11 33.08 -0.04
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.