Table 1 Estimation of the unknowns (H, D0), their standard deviations (σH, σD0), and the parameters of the error ellipse (a, B, θ°) for the year 4 BCE. Results obtained considering the hypothesis based on notches as day of year and both adjustment models (model 1: geomatic approach; model 2: pseudo-observations).
From: Augustus’ solar meridian functioning and the birth of the western leap year
notch meaning: days | ||||
|---|---|---|---|---|
Adjustment model | Model 1 | Model 2 | ||
a | b | c | d | e |
σd | 0.005 m | 0.005 m | 0.005 m | 0.005 m |
σζ | 0.001° | 0.01° | 0.1° | 0.001°- 0.1° |
H | 31.171 | 31.148 | 31.138 | 31.154 |
σH | 0.130 | 0.135 | 0.270 | 0.054 |
D0 | 14.942 | 14.933 | 14.932 | 14.940 |
σD0 | 0.062 | 0.066 | 0.147 | 0.030 |
a | 0.144 | 0.150 | 0.307 | 0.062 |
b | 0.0005 | 0.004 | 0.015 | 0.003 |
θ° | 154.385° | 154.129° | 151.495° | 150.612 -150.615° |
