This commit is contained in:
2025-05-16 21:14:03 +02:00
parent b44739baee
commit c34ad20166
3 changed files with 179 additions and 1 deletions

37
S2/AnaMech/VL/AnMeVL6.typ Normal file
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// Main VL template
#import "../preamble.typ": *
// Fix theorems to be shown the right way in this document
#import "@preview/ctheorems:1.1.3": *
#show: thmrules
// Main settings call
#show: conf.with(
// May add more flags here in the future
num: 6,
type: 0, // 0 normal, 1 exercise
date: datetime.today().display(),
//date: datetime(
// year: 2025,
// month: 5,
// day: 1,
//).display(),
)
= Uebersicht
Das dritte Kepler Gesetz zeigt, dass $pi a b = T L/(q mu) ==> T = (2 mu a b pi) / (L) $.
= Das $1/r$ Potential
Es gilt $alpha>0$ und $r_("min") <r<r_("max") $ und $V_0 <= E <0$.
Unser Ziel ist $1 + epsilon cos phi = r_0 /r)$.
Wir wissen
$
d phi = plus.minus L/r^2 (d r) / [(d mu (E - V_("eff") )]^(1/2).
$
Das kann dann durch Substitution geloest werden.

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#let rot = math.op("rot")
#let grad = math.op("grad")
#let conf(num: none, date: "", type: none, body) = {
#let conf(num: none, date: "", type: none, body, ueb: false) = {
// Global settings
show: default