Archery-Tether-Propulsion-Systems / blueprints /RICOCHET-001_bouncy_ball_deployment.md
Jeff Towers
Add RICOCHET-001: Bouncy Ball Bola deployment physics
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RICOCHET-001: Bouncy Ball Bola Deployment System

Classification: Impact-Triggered Sail Unfurling
Status: DRAFT v0.1
Date: 2026-01-24
Codename: "SUPERBALL MARIONETTE"


1. CONCEPT OVERVIEW

Throw a big rubber ball at the ground. It bounces. It ERUPTS into a sailing marionette.

The bounce isn't wasted energy - it's the LAUNCH MECHANISM.

    PHASE 1: THROW                    PHASE 2: IMPACT                   PHASE 3: ERUPTION
    ════════════════                  ═══════════════                   ═════════════════
    
         β—‹                                 β—‹                                 β›΅   β›΅
        /|\  ← Human throws              β•±β”‚β•²  ← Ball compresses              \   /
         β”‚       downward               β–„β–ˆβ–ˆβ–ˆβ–„   stores elastic                \_/
        / \                            ═══════   energy                    β”Œβ”€β”€β”΄β”€β”€β”
                                                                           β”‚CORE β”‚
         β—‰ ←─ Compressed               β—‰β–„β–„β–„β–„β—‰ ← Deformation              ═══╧═══
         β”‚    marionette               ═══════   triggers latch              β”‚
         β”‚                                β”‚                               ⛡─┼─⛡
         β–Ό                                β”‚                                  β”‚
    ─────────────────             ─────────────────                   ─────────────────
         GROUND                        GROUND                              GROUND
                                                                             ↑
                                                                        BOUNCE lifts
                                                                        entire system!


    PHASE 4: FLIGHT                   PHASE 5: MARIONETTE MODE
    ═══════════════                   ════════════════════════
    
         β›΅     β›΅                              β›΅       β›΅
          \   /                                 \     /
           \ /   ← Sails catch air               \   /
        β”Œβ”€β”€β”΄β”€β”€β”                                   \ /
        β”‚BRAINβ”‚ ← Champion awakens            β”Œβ”€β”€β”€β”΄β”€β”€β”€β”
        β””β”€β”€β”¬β”€β”€β”˜                               β”‚CONTROLβ”‚
           β”‚                                  β””β”€β”€β”€β”¬β”€β”€β”€β”˜
          β›΅ β›΅                                    β”‚
                                              ⛡──┼──⛡
        ~~~~ WIND ~~~~                           
                                         AUTONOMOUS FLIGHT

2. THE SUPERBALL SHELL

2.1 Material: High-Restitution Rubber

The outer shell is made of polybutadiene rubber (same as actual Super Balls):

  • Coefficient of Restitution: 0.85 - 0.92 (bounces to ~80% of drop height!)
  • Stores massive elastic energy on impact
  • Survives repeated ground strikes
    SUPERBALL CROSS-SECTION
    ═══════════════════════
    
              β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”
              β”‚         OUTER RUBBER SHELL          β”‚
              β”‚    (polybutadiene, 8mm thick)       β”‚
              β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”    β”‚
              β”‚  β”‚    COMPRESSION CHAMBER      β”‚    β”‚
              β”‚  β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”  β”‚    β”‚
              β”‚  β”‚  β”‚                       β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   ╔═══════════════╗   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘  SPOOL CORE   β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”  β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘  β”‚ SAILS   β”‚  β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘  β”‚ (wound) β”‚  β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘  β”‚ β—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Ž β”‚  β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘  β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜  β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘   CHAMPION    β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•‘    BRAIN      β•‘   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚   β•šβ•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•   β”‚  β”‚    β”‚
              β”‚  β”‚  β”‚                       β”‚  β”‚    β”‚
              β”‚  β”‚  β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜  β”‚    β”‚
              β”‚  β”‚      LATCH RING ●────●      β”‚    β”‚
              β”‚  β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜    β”‚
              β”‚                                     β”‚
              β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
              
                         β—‰ = 15-25 cm diameter

2.2 Ball Specifications

Property Value Notes
Diameter 15-25 cm Softball to volleyball size
Shell Thickness 6-10 mm Balances bounce vs payload
Total Mass 0.8-2.0 kg Throwable by human
Restitution Coefficient 0.85+ HIGH bounce required
Impact Survival 50+ m/s Handles hard throws

3. THE ERUPTION MECHANISM

3.1 G-Force Triggered Latch

The shell contains a compression-activated latch that releases at a specific G-force threshold.

    LATCH MECHANISM (Cross-section view)
    ═════════════════════════════════════
    
    ARMED STATE                           TRIGGERED STATE
    ════════════                          ═══════════════
    
    β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                    β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”
    β”‚   SHELL WALL   β”‚                    β”‚   SHELL WALL   β”‚
    β”‚ β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”‚                    β”‚ β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”‚
    β”‚ β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”  β”‚ β”‚                    β”‚ β”‚            β”‚ β”‚
    β”‚ β”‚  β”‚LATCH β”‚  β”‚ β”‚  ══► IMPACT ══►    β”‚ β”‚   LATCH    β”‚ β”‚
    β”‚ β”‚  β”‚ PIN  β”‚  β”‚ β”‚                    β”‚ β”‚   SHEARED  β”‚ β”‚
    β”‚ β”‚  β””β”€β”€β”¬β”€β”€β”€β”˜  β”‚ β”‚                    β”‚ β”‚      ↓     β”‚ β”‚
    β”‚ β”‚     β”‚      β”‚ β”‚                    β”‚ β”‚   ═════    β”‚ β”‚
    β”‚ β”‚  β–Όβ–Όβ–Όβ–Όβ–Όβ–Όβ–Ό   β”‚ β”‚                    β”‚ β”‚   β–²β–²β–²β–²β–²    β”‚ β”‚
    β”‚ β”‚  SPRING    β”‚ β”‚                    β”‚ β”‚  RELEASED! β”‚ β”‚
    β”‚ β”‚  LOADED    β”‚ β”‚                    β”‚ β”‚            β”‚ β”‚
    β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β”‚                    β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β”‚
    β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜                    β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
    
    
    G-FORCE THRESHOLD:
    ══════════════════
    
         G-force
            ↑
       150G β”‚         β–ˆβ–ˆβ–ˆβ–ˆ ← TRIGGER ZONE
       100G β”‚    β–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆβ–ˆ   (100-200G)
        50G β”‚    β”‚        
         0G β”œβ”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β–Ί time
            β”‚    β”‚
                 IMPACT
                 MOMENT

3.2 Shell Separation

On trigger, the shell splits along pre-scored seams like a blooming flower:

    SHELL BLOOM SEQUENCE
    ════════════════════
    
    T = 0ms              T = 5ms              T = 20ms             T = 50ms
    (Impact)             (Latch releases)     (Petals open)        (Full bloom)
    
       β—‰                    β—‰                   β•±β”‚β•²                  \   /
       β”‚                   /β”‚\                 / β”‚ \                  \_/
       β”‚                  / β”‚ \               /  β”‚  \                  β”‚
    ═══════           ═══════════         ════════════            ═══════════
    
                                              ↑
                                         SAILS BEGIN
                                         TO DEPLOY
    
    
    TOP VIEW OF PETAL SEPARATION:
    ═════════════════════════════
    
         β”Œβ”€β”€β”€β”                    β•±   β•²                     β•²     β•±
        β•±     β•²                  β”‚     β”‚                     β•²   β•±
       β”‚   β—‰   β”‚    ═══►        β”‚  β—‰  β”‚     ═══►              β•² β•±
        β•²     β•±                  β”‚     β”‚                       β—‰
         β””β”€β”€β”€β”˜                    β•²   β•±                       β•± β•²
                                                             β•±   β•²
       CLOSED                   CRACKING                  DETACHED
                                                          (petals fly off)

4. BOUNCE ENERGY HARVESTING

4.1 The Bounce = Free Launch Velocity

When the ball hits the ground, it compresses and rebounds. We HARVEST this:

    ENERGY FLOW DIAGRAM
    ═══════════════════
    
    THROW ENERGY ──────────────────────────────────────────────►
         β”‚                                                      β”‚
         β”‚  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”   β”‚
         β”‚  β”‚                                              β”‚   β”‚
         β–Ό  β–Ό                                              β–Ό   β”‚
    ╔═══════════╗     ╔═══════════════╗     ╔═══════════════╗  β”‚
    β•‘  KINETIC  β•‘ ──► β•‘   ELASTIC     β•‘ ──► β•‘   KINETIC     β•‘  β”‚
    β•‘  (down)   β•‘     β•‘  (compressed) β•‘     β•‘   (UP!)       β•‘  β”‚
    β•šβ•β•β•β•β•β•β•β•β•β•β•β•     β•šβ•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•     β•šβ•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•  β”‚
         β”‚                   β”‚                     β”‚           β”‚
         β”‚                   β”‚                     β”‚           β”‚
         β”‚                   β–Ό                     β–Ό           β–Ό
         β”‚            β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”        β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”
         β”‚            β”‚ LATCH TRIPS β”‚        β”‚ SAILS DEPLOY     β”‚
         β”‚            β”‚ (uses tiny  β”‚        β”‚ (catch upward    β”‚
         β”‚            β”‚  fraction)  β”‚        β”‚  momentum!)      β”‚
         β”‚            β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜        β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
         β”‚
         └──────► ~15% lost to ground/heat
    
    
    VELOCITY DIAGRAM:
    ═════════════════
    
         V (m/s)
            ↑
       +15  β”‚                    ●●●●●●●●●●●● ← SAILS DEPLOYED
            β”‚                   ●            β†– (catching wind)
       +10  β”‚                  ●
            β”‚                 ●  ← UPWARD BOUNCE
        +5  β”‚                ●
            β”‚               ●
         0  β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β—β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β–Ί time
            β”‚              ●│
        -5  β”‚             ● β”‚
            β”‚            ●  β”‚
       -10  β”‚           ●   β”‚
            β”‚          ●    β”‚
       -15  β”‚         ●     β”‚ ← DOWNWARD (thrown)
            β”‚        ●      β”‚
       -20  β”‚       ●       β”‚
                    β–²
                 IMPACT
                 (latch triggers)

4.2 Timing is Everything

The shell must separate DURING the bounce, not before or after:

    CRITICAL TIMING WINDOW
    ══════════════════════
    
    ─────────────────────────────────────────────────────────────►
                                                               time
    
    │◄──── APPROACH ────►│◄─ CONTACT ─►│◄──── REBOUND ────►│
    β”‚                    β”‚             β”‚                    β”‚
    β”‚    Ball falling    β”‚ Compression β”‚   Ball rising      β”‚
    β”‚    Shell intact    β”‚ Latch trips β”‚   Shell blooming   β”‚
    β”‚                    β”‚             β”‚   Sails unfurling  β”‚
    β”‚                    β”‚             β”‚                    β”‚
    β”‚         β—‰          β”‚    β–„β—‰β–„      β”‚       β›΅ β›΅        β”‚
    β”‚         β”‚          β”‚   ═════     β”‚        \β”‚/         β”‚
    β”‚         β–Ό          β”‚             β”‚         β—‰          β”‚
    β”‚                    β”‚             β”‚         ↑          β”‚
    β”‚                    β”‚             β”‚                    β”‚
    ────────────────────────────────────────────────────────────
    
    
    FAILURE MODES:
    ══════════════
    
    TOO EARLY (pre-impact):        TOO LATE (post-apex):
    
         β›΅ β›΅                              β›΅ β›΅
          \β”‚/                               \β”‚/
           β—‰  ← Sails deploy                 β—‰  ← Sails deployed
           β”‚     while falling!              β”‚     but falling again!
           β–Ό     (no upward momentum)        β–Ό     (missed the bounce)
        ═══════                           ═══════
        
           BAD!                              BAD!

5. SAIL DEPLOYMENT SEQUENCE

5.1 Coiled Configuration (Pre-Deploy)

Inside the ball, sails are wound tightly around the spool core:

    INTERNAL COIL STRUCTURE
    ═══════════════════════
    
    TOP VIEW (looking down into ball):
    
              ╔═══════════════════════════╗
              β•‘                           β•‘
              β•‘    β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”    β•‘
              β•‘    β”‚  β—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Ž   β”‚    β•‘
              β•‘    β”‚  β—Ž β”Œβ”€β”€β”€β”€β”€β”€β”€β” β—Ž   β”‚    β•‘
              β•‘    β”‚  β—Ž β”‚ SPOOL β”‚ β—Ž   β”‚    β•‘
              β•‘    β”‚  β—Ž β”‚ CORE  β”‚ β—Ž   β”‚    β•‘
              β•‘    β”‚  β—Ž β”‚       β”‚ β—Ž   β”‚    β•‘  ← 4 sails wound
              β•‘    β”‚  β—Ž β”‚ BRAIN β”‚ β—Ž   β”‚    β•‘     as tight spirals
              β•‘    β”‚  β—Ž β””β”€β”€β”€β”€β”€β”€β”€β”˜ β—Ž   β”‚    β•‘
              β•‘    β”‚  β—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ—Ž   β”‚    β•‘
              β•‘    β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜    β•‘
              β•‘                           β•‘
              β•šβ•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•
                     RUBBER SHELL
    
    
    SIDE VIEW (cross-section):
    
              β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”
              β”‚β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β”‚ ← Rubber
              β”‚β–‘β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”β–‘β–‘β–‘β”‚
              β”‚β–‘β”‚ ════════════════════  β”‚β–‘β–‘β–‘β”‚ ← Sail 0 (coiled)
              β”‚β–‘β”‚ ════════════════════  β”‚β–‘β–‘β–‘β”‚ ← Sail 1 (coiled)
              β”‚β–‘β”‚   ╔═══════════════╗   β”‚β–‘β–‘β–‘β”‚
              β”‚β–‘β”‚   β•‘  SPOOL DRUMS  β•‘   β”‚β–‘β–‘β–‘β”‚
              β”‚β–‘β”‚   β•‘  β”Œβ”€β”€β”β”Œβ”€β”€β”     β•‘   β”‚β–‘β–‘β–‘β”‚
              β”‚β–‘β”‚   β•‘  β”‚β—Ž β”‚β”‚β—Ž β”‚     β•‘   β”‚β–‘β–‘β–‘β”‚ ← Individual drums
              β”‚β–‘β”‚   β•‘  β””β”€β”€β”˜β””β”€β”€β”˜     β•‘   β”‚β–‘β–‘β–‘β”‚    per sail cable
              β”‚β–‘β”‚   β•šβ•β•β•β•β•β•β•β•β•β•β•β•β•β•β•β•   β”‚β–‘β–‘β–‘β”‚
              β”‚β–‘β”‚ ════════════════════  β”‚β–‘β–‘β–‘β”‚ ← Sail 2 (coiled)
              β”‚β–‘β”‚ ════════════════════  β”‚β–‘β–‘β–‘β”‚ ← Sail 3 (coiled)
              β”‚β–‘β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜β–‘β–‘β–‘β”‚
              β”‚β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β–‘β”‚
              β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜

5.2 Centrifugal Unfurling

As the shell petals separate, they carry sail tips outward. Then spin + upward motion unfurls:

    UNFURL SEQUENCE (Top view, time series)
    ════════════════════════════════════════
    
    T=0ms                T=30ms               T=100ms              T=200ms
    Shell splits         Petals eject         Cables pay out       Full extension
    
        β•± β•²                 \   /                 β›΅     β›΅             β›΅       β›΅
       β”‚ β—Ž β”‚                 \ /                   \   /                \     /
        β•² β•±                   β—Ž                     \ /                  \   /
                              β”‚                   β”Œβ”€β”€β”΄β”€β”€β”                 \ /
                             β•± β•²                  β”‚CORE β”‚             β”Œβ”€β”€β”€β”΄β”€β”€β”€β”
                                                  β””β”€β”€β”¬β”€β”€β”˜             β”‚ SPOOL β”‚
                                                     β”‚                β””β”€β”€β”€β”¬β”€β”€β”€β”˜
                                                    β›΅ β›΅                  β”‚
                                                                      ⛡──┼──⛡
    
    
    CABLE PAYOUT MECHANISM:
    ═══════════════════════
    
    Each sail is on a DRUM that pays out cable as centrifugal force pulls:
    
         β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”
         β”‚                                            β”‚
         β”‚   DRUM (wound)          DRUM (paying out)  β”‚
         β”‚                                            β”‚
         β”‚     β”Œβ”€β”€β”€β”€β”€β”€β”              β”Œβ”€β”€β”€β”€β”€β”€β”         β”‚
         β”‚     β”‚β—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ”‚              β”‚β—Žβ—Žβ—Ž   │───────► β”‚  ← Cable
         β”‚     β”‚β—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ”‚   ═══►       β”‚β—Žβ—Ž    β”‚         β”‚     unreeling
         β”‚     β”‚β—Žβ—Žβ—Žβ—Žβ—Žβ—Žβ”‚              β”‚β—Ž     β”‚         β”‚
         β”‚     β””β”€β”€β”€β”€β”€β”€β”˜              β””β”€β”€β”€β”€β”€β”€β”˜         β”‚
         β”‚                                            β”‚
         β”‚    INITIAL                 MID-DEPLOY      β”‚
         β”‚    (all cable wound)      (cable out)      β”‚
         β”‚                                            β”‚
         β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
    
    
    Centrifugal force at R = 1m, Ο‰ = 3 rad/s:
    
        F_cent = m * ω² * R
               = 0.2 kg * (3)Β² * 1
               = 1.8 N per sail
               
    This pulls cables out smoothly!

6. PHYSICS MODEL

6.1 Impact Dynamics

# Ground impact model
def compute_bounce(v_impact, restitution=0.87, mass=1.5):
    """
    Calculate bounce velocity from impact.
    
    Args:
        v_impact: Impact velocity (m/s, positive = downward)
        restitution: Coefficient of restitution (0.87 for superball rubber)
        mass: Ball mass (kg)
        
    Returns:
        v_rebound: Rebound velocity (m/s, positive = upward)
        g_force: Peak G-force during impact
        contact_time: Ground contact duration (s)
    """
    # Rebound velocity (energy preserved * restitution)
    v_rebound = v_impact * restitution
    
    # Contact time (Hertzian contact approximation)
    # For rubber ball ~10-20ms
    contact_time = 0.015  # 15ms typical
    
    # Peak deceleration
    delta_v = v_impact + v_rebound  # Total velocity change
    a_peak = delta_v / contact_time
    g_force = a_peak / 9.81
    
    return v_rebound, g_force, contact_time


# Example: 20 m/s throw (hard overhand)
v_rebound, g_force, t_contact = compute_bounce(20.0)
# v_rebound β‰ˆ 17.4 m/s (upward!)
# g_force β‰ˆ 255 G (definitely triggers latch!)
# t_contact β‰ˆ 15 ms

6.2 Trigger Threshold

# G-force latch parameters
TRIGGER_G_MIN = 80    # Minimum G to trigger (prevents accidental)
TRIGGER_G_MAX = 500   # Max survivable G for electronics

# For various throw speeds:
# 10 m/s (gentle toss):  ~127 G  ← TRIGGERS
# 15 m/s (medium throw): ~191 G  ← TRIGGERS  
# 20 m/s (hard throw):   ~255 G  ← TRIGGERS
# 25 m/s (very hard):    ~319 G  ← TRIGGERS
#  5 m/s (drop):          ~64 G  ← NO TRIGGER (too soft)

6.3 Sail Deployment Dynamics

def sail_unfurl_physics(
    bounce_velocity: float,     # m/s upward
    spin_rate: float,           # rad/s (imparted by throw)
    num_sails: int = 4,
    sail_mass: float = 0.15,    # kg per sail
    cable_length: float = 2.0,  # m max extension
):
    """
    Model sail deployment during upward bounce.
    """
    # Centrifugal acceleration pulls sails outward
    # a_cent = ω² * r
    
    # Time to full extension (approximate)
    # Using F = ma, where F = centrifugal
    # Simplified: t β‰ˆ sqrt(2 * cable_length / a_cent)
    
    # At spin_rate = 3 rad/s, r = 1m:
    # a_cent = 9 m/sΒ²
    # t_deploy β‰ˆ sqrt(2 * 2.0 / 9) β‰ˆ 0.67 seconds
    
    # During this time, ball rises:
    # h = v * t - 0.5 * g * tΒ²
    # h = 17 * 0.67 - 0.5 * 9.81 * 0.67Β²
    # h β‰ˆ 9.2 m (above bounce point!)
    
    return {
        'deploy_time': 0.67,
        'deploy_altitude': 9.2,
        'final_sail_velocity': spin_rate * cable_length,  # tangential
    }

7. CHAMPION BRAIN ACTIVATION

7.1 Boot Sequence

The Champion brain (DreamerV3) activates on impact detection:

    BRAIN ACTIVATION TIMELINE
    ═════════════════════════
    
    ──────────────────────────────────────────────────────────────────►
                                                                    time
    
    β”‚ DORMANT β”‚ IMPACT β”‚ BOOT β”‚ CALIBRATE β”‚ SAIL CONTROL β”‚ MARIONETTE β”‚
    β”‚         β”‚        β”‚      β”‚           β”‚              β”‚    MODE    β”‚
    β”‚         β”‚        β”‚      β”‚           β”‚              β”‚            β”‚
    β”‚ zzz...  β”‚  !!!   β”‚ β–ˆβ–ˆβ–ˆβ–ˆ β”‚ β—Ž β—Ž β—Ž β—Ž  β”‚   ~~~~ β›΅    β”‚   FLYING   β”‚
    β”‚         β”‚        β”‚      β”‚           β”‚              β”‚            β”‚
    β”œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”Όβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€
       -∞     T=0     50ms   100ms       300ms          500ms+
    
    
    BOOT SEQUENCE DETAIL:
    ═════════════════════
    
    T+0ms:    Accelerometer detects >80G β†’ WAKE signal
    T+10ms:   IMU initialization
    T+20ms:   Tension sensors online (all drums)
    T+30ms:   RSSM state estimator starts
    T+50ms:   First control output (brake drums to prevent overshoot)
    T+100ms:  Sail positions estimated from cable tensions
    T+200ms:  Aerodynamic model engaged
    T+300ms:  Full marionette control active
    T+500ms:  Champion brain has authority

7.2 Mid-Air Orientation Recovery

After chaotic bounce + deploy, the system must stabilize:

    STABILIZATION CHALLENGE
    ═══════════════════════
    
    POST-BOUNCE (Chaotic):              TARGET (Stable):
    
         β›΅                                    β›΅     β›΅
        /                                       \   /
       /   β›΅                                    \ /
      β”‚   /                                   β”Œβ”€β”€β”΄β”€β”€β”
      β—Žβ”€β”€/     ← Tumbling,                    β”‚CORE β”‚ ← Level,
        \        tangled?                     β””β”€β”€β”¬β”€β”€β”˜   symmetric
         \                                       β”‚
          β›΅                                  ⛡──┼──⛡
                                                 
    Champion uses:
    1. Differential cable tension β†’ torque for rotation
    2. Sail pitch modulation β†’ aerodynamic moments
    3. Collective pitch β†’ altitude control

8. OPERATIONAL ENVELOPE

8.1 Throw Parameters

Parameter Min Optimal Max Notes
Throw Speed 8 m/s 15-20 m/s 30 m/s Harder = higher bounce
Throw Angle -90Β° (straight down) -60Β° to -45Β° 0Β° (horizontal) Steep = clean bounce
Spin Imparted 0 rad/s 2-4 rad/s 10 rad/s Spin aids deployment
Release Height 1.0 m 1.5-2.0 m 3.0 m Higher = more time

8.2 Environmental Requirements

    SURFACE REQUIREMENTS:
    ═════════════════════
    
    βœ“ GOOD SURFACES           βœ— BAD SURFACES
    ──────────────            ─────────────
    β€’ Concrete                β€’ Sand (absorbs energy)
    β€’ Asphalt                 β€’ Grass (unpredictable)
    β€’ Hard-packed dirt        β€’ Water (no bounce lol)
    β€’ Gym floor               β€’ Mud
    β€’ Metal deck              β€’ Foam/carpet
    
    
    WIND CONDITIONS:
    ════════════════
    
    Optimal: 3-8 m/s (light breeze)
    - Enough wind for sail control
    - Not so much it tumbles the ball pre-impact
    
    Maximum: 15 m/s
    - Beyond this, deploy timing unreliable

9. INTEGRATION WITH MARIONETTE SPOOL

This system IS the marionette spool, just with a bouncy ball deployment shell:

    SYSTEM EQUIVALENCE
    ══════════════════
    
    STANDARD MARIONETTE                RICOCHET DEPLOYMENT
    (hand throw)                       (bouncy ball)
    
    β”Œβ”€β”€β”€β”€β”€β”€β”€β”                          β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”
    β”‚SPOOL  β”‚                          β”‚   SUPERBALL   β”‚
    β”‚       β”‚ ← Human                  β”‚ β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β” β”‚
    β”‚ BRAIN β”‚   throws                 β”‚ β”‚   SPOOL   β”‚ β”‚ ← Human
    β”‚       β”‚                          β”‚ β”‚   BRAIN   β”‚ β”‚   throws
    β””β”€β”€β”€β”€β”€β”€β”€β”˜                          β”‚ β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜ β”‚
        β”‚                              β””β”€β”€β”€β”€β”€β”€β”€β”¬β”€β”€β”€β”€β”€β”€β”€β”˜
        β”‚                                      β”‚
        β–Ό                                      β–Ό
    UNRAVEL by                            UNRAVEL by
    centrifugal force                     IMPACT + BOUNCE
    from throw spin                       + centrifugal
        β”‚                                      β”‚
        β–Ό                                      β–Ό
    β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”                  β”Œβ”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”
    β”‚  MARIONETTE   β”‚                  β”‚  MARIONETTE   β”‚
    β”‚  FLIGHT MODE  β”‚     ═════        β”‚  FLIGHT MODE  β”‚
    β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜                  β””β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”€β”˜
    
                      SAME SYSTEM!
                      (different deployment trigger)

10. VARIANT: BOLA MODE CASCADE

For the full bola experience - throw MULTIPLE balls that link mid-air:

    MULTI-BALL BOLA ERUPTION
    ════════════════════════
    
    THROW:                  BOUNCE:                 LINK:
    
      β—‹   β—‹   β—‹              β›΅ β›΅   β›΅ β›΅          ⛡───────⛡
       \  β”‚  /                \β”‚/     \β”‚/           \       /
        \ β”‚ /                  β—Žβ”€β”€β”€β”€β”€β”€β”€β—Ž             \     /
         \β”‚/                   β”‚       β”‚              \   /
          β–Ό                    ↑       ↑               \ /
    ═══════════         ═══════════════════         ════╋════
                                                        β”‚
                              MAGNETIC              ⛡───┼───⛡
                              DOCKING                   β”‚
                                                    ════╬════
                                                        β”‚
                                                   FULL BOLA
                                                   CONSTELLATION!

11. IMPLEMENTATION NOTES

Python Module Location

src/physics/ricochet_deployment.py

Key Classes

  • SuperballShell - Rubber shell physics + latch mechanism
  • ImpactTrigger - G-force detection and timing
  • BounceDynamics - Restitution and rebound calculation
  • EruptionSequencer - Shell separation + sail payout timing
  • RicochetMarionette - Full integrated system

Integration Points

  • src/physics/marionette_spool.py - Core spool mechanics
  • src/physics/slingshot_dynamics.py - Bola physics
  • src/physics/tether_dynamics.py - Cable payout
  • src/ai/dreamer_interface.py - Champion brain

12. FUTURE WORK

  1. Multi-bounce recovery - What if first bounce fails to trigger?
  2. Angle compensation - Non-vertical bounces, spin correction
  3. Water landing variant - Buoyant shell for maritime ops
  4. Sound-triggered variant - Clap or whistle to deploy (no ground needed)

"The ground is not the enemy. The ground is the launch pad."

β€” RICOCHET-001 Design Philosophy