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Backup Propulsion Options – 40x16 Seastead (36,000 lb) – First-Pass Estimates
Backup propulsion / “get-home” methods for your seastead
Important: what follows is a first-pass physics estimate with big uncertainty because total hydrodynamic drag depends heavily on:
(a) exact submerged geometry (column shape, corner fillets, braces/cables),
(b) wave state (added resistance),
(c) fouling (barnacles),
(d) yaw angle, and
(e) thruster/winch/kite efficiencies.
Use this as sizing intuition only; a naval architect + tow-tank/CFD or at-sea pull tests will tighten it up.
Baseline assumptions used for all calculations
1) Weight / speed regime
- Displacement: ~36,000 lb (~16,300 kg). Mass mainly affects acceleration, not steady-state speed.
- Speeds of interest: 0.5–2 mph (0.22–0.89 m/s). Currents can easily be comparable or larger.
2) A simple drag model (dominant form drag)
At these low speeds, a “platform with legs” typically has drag that scales roughly as D ≈ 0.5 ρ (CdA) V².
Power to maintain speed is P ≈ D·V ≈ 0.5 ρ (CdA) V³.
I’ll model your submerged drag area as dominated by the 4 diagonal columns. If each column is ~4 ft (1.22 m) “diameter/width” and ~12 ft (3.66 m) submerged length,
then projected area per column (broadside) is ~A ≈ D·L ≈ 4.46 m², so 4 columns → ~18 m².
Assume Cd ≈ 1.0 (cylinder-ish crossflow). Thus:
- Nominal:
CdA ≈ 18 m²
- Low-drag case (more streamlined / less projected):
CdA ≈ 12 m²
- High-drag case (yawed, extra members, sea state, fouling):
CdA ≈ 30 m²
Water density: ρ = 1025 kg/m³. Define k = 0.5 ρ (CdA), so D = k V² and P = k V³.
| Case |
CdA (m²) |
k = 0.5ρCdA (N·s²/m²) |
| Low drag |
12 |
6,150 |
| Nominal |
18 |
9,225 |
| High drag |
30 |
15,375 |
3) What 2000 W means in calm water (as a reference)
If you can deliver 2000 W of useful mechanical power into “pulling the seastead forward” (after drivetrain losses),
the steady speed in calm water with a fixed reaction point is:
V ≈ (P / k)^(1/3)
| Case |
Speed from 2000 W (m/s) |
Speed (mph) |
| Low drag (CdA=12) |
0.69 |
1.54 |
| Nominal (CdA=18) |
0.60 |
1.34 |
| High drag (CdA=30) |
0.51 |
1.14 |
Key takeaway: In flat water, 2 kW is “around 1.1–1.5 mph” for the geometry assumptions above. In chop + yaw + fouling, it can be lower.
1) Primary thruster redundancy (your plan)
- Having at least one working thruster per side for differential thrust is good practice.
- Consider electrical redundancy too: separate breakers, separate motor controllers, water-ingress isolation, and the ability to cross-tie DC buses.
- Also plan for debris ingestion: prop guards, ability to reverse, and a method to clear lines/weed.
2) “Kedging” using sea anchors (parachute anchors) + winches
Conceptual efficiency
A sea anchor is a drag device in water. If you winch yourself toward a deployed sea anchor, you are effectively:
- Pulling the seastead forward, and
- Also (unavoidably) dragging the sea anchor forward to some degree.
So it can work, but it is usually less energetically direct than a propulsor because part of your energy goes into towing the sea anchor.
Its advantage is: simplicity, robustness, and tolerance of shallow draft / debris (depending on line management).
Simple two-body model (seastead + sea anchor)
Assume both seastead and sea anchor have quadratic drag:
T = k_s V_s² and T = k_a V_a²,
where T is line tension, V_s is seastead speed through water, V_a is sea anchor speed through water.
If the winch reels in line at speed (relative to the seastead) v_line = V_s - V_a,
then winch mechanical power is P = T · v_line.
Choose a “10 m diameter” sea anchor: is that big?
- Diameter 10 m → area
A = π(5²) = 78.5 m².
- A parachute sea anchor’s effective drag coefficient varies a lot with design and rigging; a rough number is
Cd ≈ 1.0–1.5. I’ll use Cd=1.2 for estimates.
- Then
k_a = 0.5 ρ Cd A ≈ 0.5·1025·1.2·78.5 ≈ 48,200.
Estimated speed using 2000 W at the winch (ignoring dinghy energy)
Using the model above, seastead speed becomes:
P = k_s V_s³ (1 - sqrt(k_s/k_a))
| Drag case |
Estimated Vs (mph) |
Approx tension T (lbf) |
Notes |
| Low drag (CdA=12) |
~1.79 |
~860–1100 |
Higher speed because line-in speed is lower than hull speed (some energy to tow sea anchor) |
| Nominal (CdA=18) |
~1.63 |
~1100 |
Winch sees ~5 kN tension range; serious hardware |
| High drag (CdA=30) |
~1.50 |
~1400–1800 |
More tension, more line loads |
These tensions come from T = k_s V_s². For the nominal case above, typical numbers are ~5 kN (~1100 lbf).
Practical limiter: A 2 kW winch can only achieve high speed if it can also sustain high line tension.
Expect real system speed to be lower once you include winch efficiency, line losses, and time spent resetting sea anchors.
How “good” is a 10 m sea anchor for this?
- For storm holding, 10 m is large but plausible for very large vessels; for propulsion kedging it may be awkward to handle repeatedly.
- For propulsion, many smaller drogues in parallel can be easier to handle than one giant parachute, but they may tangle more.
- You will want a robust trip line / retrieval method and a plan to avoid fouling your own structure/cables.
Rough cost and weight for a 10 m parachute sea anchor
Prices vary a lot by brand, fabric weight, reinforcement, and included bridles.
A 33 ft (10 m) class para-anchor is specialty gear.
- Sea anchor canopy + bridle (only): roughly $3,000–$10,000+
- Canopy + heavy bridle + swivel + bag: roughly 40–120 kg (90–265 lb) depending on fabric and reinforcement
- Rode dominates system weight: if you need hundreds of meters of line, that can add another 50–300+ kg depending on material/diameter.
If you share your intended deployment depth/line length, target tension, and preferred rope type (Dyneema vs nylon vs polyester),
I can estimate rode diameter/weight more concretely.
j) Kedging with regular bottom anchors in shallow water (2000 W)
Speed (ignoring reset time)
If the anchor is truly “fixed to the seabed” (does not plow), then your 2000 W goes almost entirely into overcoming seastead drag:
| Drag case |
Speed from 2000 W (mph) |
| Low drag (CdA=12) |
~1.54 |
| Nominal (CdA=18) |
~1.34 |
| High drag (CdA=30) |
~1.14 |
What actually limits bottom-anchored kedging
- Reset time dominates average speed: unless you leapfrog two anchors with a dinghy efficiently, average speed can drop a lot.
- Anchor holding power: your line tension may be ~3–8 kN (700–1800 lbf). In sand/mud this is feasible with a properly sized modern anchor, but in grass/rock it may fail.
- Chafe and yaw: as the platform yaws, the anchor lead angle changes, increasing plowing risk and line abrasion.
- Depth constraint: this method is only available in shallow water and may be restricted by protected seabeds/reef rules.
Rule of thumb: Bottom-anchored kedging can be an excellent backup in benign shallow areas, but it is labor/complexity-heavy if you want to do it for miles.
4) Dinghy towing using 3× Yamaha HARMO (681 lbf total thrust)
Speed estimate
If total available thrust is ~681 lbf ≈ 3030 N, then steady speed solves D = k V² = 3030:
| Drag case |
Estimated towing speed (mph) |
| Low drag (CdA=12) |
~1.55 |
| Nominal (CdA=18) |
~1.28 |
| High drag (CdA=30) |
~0.99 |
Power reality check
- The mechanical power implied at the tow point is
P = T·V. At 3030 N and ~0.57 m/s (nominal), that’s ~1.7 kW ideal.
- Real electric propulsors at low speed can be ~40–70% efficient depending on prop/loading; so electrical draw could be more like 2.5–5 kW for that tow condition.
- The dinghy must also remain controllable: tow bridle, yaw damping, and avoiding being pulled sideways by the seastead in waves are big practical concerns.
Takeaway: 3×HARMO on a tow dinghy looks like a credible “limp mode” around ~1 mph in calm water, assuming good line handling and adequate electrical supply.
5) Kite traction (no rudder/daggerboard; you go where the kite pulls)
Your kite stack
- Each kite: 6 ft × 2 ft ≈ 12 ft² ≈ 1.115 m²
- 20 kites → total area ≈ 22.3 m²
- Wind: 20 mph ≈ 8.94 m/s
How much pull can you get? (big uncertainty)
Dynamic pressure in 20 mph wind: q = 0.5 ρ_air V² ≈ 0.5·1.225·(8.94²) ≈ 49 N/m².
A very rough traction estimate is T ≈ C_T · q · A where C_T depends on kite type and how well you fly crosswind figure-8s.
For simple/static kites, C_T ~ 0.5–1.5. For efficient traction kites flown crosswind, short periods can behave like C_T ~ 2–4+.
A stack of many small kites usually performs worse than one or two well-controlled traction kites of the same total area.
With q·A ≈ 49 · 22.3 ≈ 1090 N:
- Conservative:
C_T = 1 → T ≈ 1.1 kN (250 lbf)
- Optimistic traction:
C_T = 3 → T ≈ 3.3 kN (740 lbf)
- Very optimistic:
C_T = 4 → T ≈ 4.4 kN (990 lbf)
Resulting seastead speed from kite pull
Solve T ≈ k V² → V ≈ sqrt(T/k) (nominal k=9225):
| Assumed kite pull (N) |
Pull (lbf) |
Estimated speed (mph), nominal drag |
| 1,100 |
~250 |
~0.74 |
| 3,300 |
~740 |
~1.28 |
| 4,400 |
~990 |
~1.48 |
Downwind vs 30° off downwind
- Directly downwind: you want most of the tension aligned with your desired travel direction. Speed set by total pull as above.
- 30° off downwind: if the kite pull is aligned with that 30°-off course, speed along that course is similar; but your downwind component of speed is
V·cos(30°) ≈ 0.866V.
- No keel/rudder: you cannot “sail upwind” in the usual sense. You can only go where the net pull + hydrodynamic resistance settles, which may include substantial leeway.
If this is more than 2 mph, how many 6×2 ft kites to reach 2 mph?
To make 2 mph = 0.894 m/s in the nominal-drag case, required thrust is:
T_required = k V² ≈ 9225 · (0.894²) ≈ 7370 N ≈ 1650 lbf
Convert that to required kite “effective area” using T ≈ C_T q A:
- If
C_T = 1: A ≈ 7370 / 49 ≈ 151 m² → about 151 / 1.115 ≈ 136 kites
- If
C_T = 3: A ≈ 50 m² → about 45 kites
- If
C_T = 4: A ≈ 38 m² → about 34 kites
Takeaway: With 20 small kites (22 m²), 2 mph is unlikely unless the system achieves unusually high traction efficiency.
A smaller number of purpose-built traction kites (or a parafoil) with good control may outperform a large stack.
6) Tow from a friend / power sharing between seasteads
- Towing by another seastead: feasible but likely slow; ensure tow points are structurally designed (shock loads) and use a proper bridle + elastic element/snubber.
- Power sharing: electrically paralleling two solar+battery systems can work if you design:
- galvanic isolation / ground fault protection,
- connector waterproofing and strain relief,
- current limiting and pre-charge for DC links,
- clear operational procedures.
7) “Limp mode” with only one-side thrust (and using wind to help)
- Yes: if you can generate a controlled yaw angle, the combination of windage + asymmetric thrust can create a net drift direction that is “good enough” to reach a safer area.
- But without a rudder/keel, the platform may weathervane and be hard to hold at a chosen angle, especially in waves.
- If this matters, consider adding a deployable skeg, small drag plate, or even a controllable towed drogue as a “temporary rudder” for emergency steering.
What I’d ask next (to tighten the numbers)
- Cross-section of the 4 ft columns: circular? square? rounded edges?
- Actual submerged length at operating load (and in waves).
- Expected average sea state when you want to move (flat, 1–2 ft chop, etc.).
- Intended winch drum speed range and maximum line pull (kN / lbf).
- Kite type (foil/parafoil/LEI), line length, control method, and whether you can fly true crosswind patterns safely from the platform.
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