From 7c92adc661105e5657cfb75fe2d444d93634498d Mon Sep 17 00:00:00 2001 From: Daniel Lovell Date: Fri, 25 Oct 2024 19:10:07 -0700 Subject: [PATCH] docs/Simulator_Overview add content, images, custom css --- docs/.vitepress/config.mts | 3 +- docs/.vitepress/theme/custom.css | 6 ++++ docs/.vitepress/theme/index.js | 5 ++++ docs/Simulator_Overview.md | 36 ++++++++++++++++++++++++ docs/images/intercept_evasion.png | Bin 0 -> 671128 bytes docs/images/threat_based_assignment.png | Bin 0 -> 34125 bytes 6 files changed, 49 insertions(+), 1 deletion(-) create mode 100644 docs/.vitepress/theme/custom.css create mode 100644 docs/.vitepress/theme/index.js create mode 100644 docs/images/intercept_evasion.png create mode 100644 docs/images/threat_based_assignment.png diff --git a/docs/.vitepress/config.mts b/docs/.vitepress/config.mts index 307e91ed..aa6056e4 100644 --- a/docs/.vitepress/config.mts +++ b/docs/.vitepress/config.mts @@ -1,4 +1,5 @@ import { defineConfig } from 'vitepress' +import DefaultTheme from './theme' // https://vitepress.dev/reference/site-config export default defineConfig({ @@ -16,7 +17,7 @@ export default defineConfig({ { text: 'Development Guide', link: '/Development_Guide' } ], - sidebar: [ + sidebar: [ { text: 'Documentation', items: [ diff --git a/docs/.vitepress/theme/custom.css b/docs/.vitepress/theme/custom.css new file mode 100644 index 00000000..46df975d --- /dev/null +++ b/docs/.vitepress/theme/custom.css @@ -0,0 +1,6 @@ +img { + display: block; + float: none; + margin-left: auto; + margin-right: auto; +} \ No newline at end of file diff --git a/docs/.vitepress/theme/index.js b/docs/.vitepress/theme/index.js new file mode 100644 index 00000000..bed9095c --- /dev/null +++ b/docs/.vitepress/theme/index.js @@ -0,0 +1,5 @@ +// .vitepress/theme/index.js +import DefaultTheme from 'vitepress/theme' +import './custom.css' + +export default DefaultTheme \ No newline at end of file diff --git a/docs/Simulator_Overview.md b/docs/Simulator_Overview.md index 73eda2f3..50bbf1d4 100644 --- a/docs/Simulator_Overview.md +++ b/docs/Simulator_Overview.md @@ -86,3 +86,39 @@ Augmented proportional navigation adds a feedthrough term proportional to the ag $$ \vec{a}_n = K \left( \dot{\lambda} v + \frac{1}{2} \vec{a}_T \right) $$ where $\vec{a}_T$ is the target’s acceleration. APN is equivalent to true PN if the target is not accelerating. + + +### Interceptor Assignment + +**Threat-based assignment** + +![Threat-based assignment](./images/threat_based_assignment.png){width=40%} + +When submunitions are dispensed (e.g., Micromissiles from Hydra-70s), they are assigned a threat to intercept. + +Assignment by calculated threat value is done by: +1. Sorting (descending) by # of assigned interceptors +2. Sorting (ascending) by threat value + +The threat value is: +$$ +V_{threat} = \frac{1}{d_{t\rightarrow p}} * \|v_t\| +$$ + +Where: +- $\|v_t\|$ - Threat's velocity +- $d_{t\rightarrow p}$ - Distance from threat to defense point + +### Intercept evasion tactics + +![Intercept evasion tactics](./images/intercept_evasion.png){width=60%} + +When interceptors get too close to their intended target, the threat performs an evasive maneuver to waste the interceptor's velocity and remaining energy: + +1. The threat accelerates to its maximum speed +2. The threat turns at the maximum normal acceleration, so that its velocity is normal to the interceptor's velocity +3. The interceptor must turn too and thus sacrifice speed + +If the threat is too close to the Y=0 floor, it will perform a linear combination of: +1. Turning to evade the interceptor +2. 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