admin/263-0007-00L-Advanced-Systems-Lab
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

updated overview

Browse Source
This commit is contained in:
lbaumberger
2026-04-30 10:06:44 +02:00
parent 27c923a171
commit 89dfdf7785
1 changed files with 5 additions and 5 deletions
Download Patch File Download Diff File Expand all files Collapse all files
Overview_Formulas_Variables.md
+4 -4
View File
@@ -38,9 +38,9 @@ As a reference the paper was used (9805244v1.pdf)
| $U_{\alpha B}^0$ | `U0_AB` | 10.0 | m²/s² | | | $U_{\alpha B}^0$ | `U0_AB` | 10.0 | m²/s² | |
| $R$ | `R` | 0.2 | m | | | $R$ | `R` | 0.2 | m | |
| $c$ | `c` | 0.5 | — | | | $c$ | `c` | 0.5 | — | |
| $\varphi$ | `phi` | 100° | ($2\varphi = 200°$) | | | $\varphi$ | `phi` | 45 | degree ($2 \varphi = 90$) | |
| $\Delta t$ | `delta_t` | 2 | s (look-ahead, used in $b$) || | $\Delta t$ | `delta_t` | 2 | s (look-ahead, used in $b$) ||
| — | `dt` | 0.01 | s (Euler integration step) | | | — | `dt` | 0.2 | s (Euler integration step) | |
## 2. Formulas ## 2. Formulas
@@ -77,10 +77,10 @@ r_{\alpha\beta} = r_\alpha - r_\beta
$$ $$
$$ $$
s_\beta = v_\beta^0 \cdot \Delta t s_\beta = v_\beta \cdot \Delta t
$$ $$
> **Team convention:** paper writes $s_\beta = v_\beta \Delta t$ (actual speed); we use $v_\beta^0$ (desired speed).
$$ $$
2b = \sqrt{\left(\| r_{\alpha\beta} \| + \| r_{\alpha\beta} - s_\beta \cdot e_\beta \|\right)^2 - s_\beta^2} 2b = \sqrt{\left(\| r_{\alpha\beta} \| + \| r_{\alpha\beta} - s_\beta \cdot e_\beta \|\right)^2 - s_\beta^2}