Maritime Simulation pp 242-253 | Cite as
The Minimum Manoeuvering Range as a Criterion to Evaluate the Risk of Collision Between Ships
Abstract
To evaluate the risk of collision between two ships in a hazardous encounter, it is necessary to establish a criterion which quantifies the danger for the involved ships.
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actual maneuverability of the own ship and
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possible maneuvers of the other ship have to be taken into account.
The results for several encounters of two ships with variable rudder application are computed. A simple and definite representation of the necessary maneuvering range and actions on the radar display is suggested.
Keywords
Differential Game Speed Ratio Maneuver Zone Evasive Maneuver Ship ManeuverabilityNomenclature
Abbreviations
- A
Another ship
- CPA
Closet point of approach
- H
Hull
- IRPCS
International Regulations for Preventing Collisions at Sea
- MMR
Minimum Manuevering Range
- MR
Manuevering Range
- MPD
Minimum Passing Distance
- O
Own Ship
- P
Propeller
- R
Ruddler
- S
Seaway (e.g. wind, waves. shallow water, etc)
Symbols
- f
Vector function
- Iz
Moment of inertia about z-axis
- j
Index
- m
Mass
- N
Moment about z-axis
- r
Range
- W
Value function
- X,Y
Forces along x-, y-axes
- x
Nondimensional coordinate
- xG
Coordinate of center of gravity
- u, v
Velocity component along x-, y-axes
- ψ
Heading angle
- φO, φA
Control variable
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References
- /1/.Isaacs, R.: Differential Games. John Wiley and Sons, New York (1965)MATHGoogle Scholar
- /2/.Merz, A.W.: Optimal Evasive Maneuvers in Maritime Collision Avoidance. Navigation 20 (1973) 144–152Google Scholar
- /3/.Miloh, T.: Determination of Critical Maneuvers for Collision Avoidance Using the Theorie of Differential Games. Inst.f.Schiffbau, Hamburg, Ber. Nr. 298 (1974)Google Scholar
- /4/.Miloh, T.; Sharma, S.D.: Maritime Collision Avoidance as a Differential Game. 4th Ship Control Systems Symposium, The Hague, Netherlands (1975)Google Scholar
- /5/.Sharma, S.D.: On Ship Maneuverability and Collision Avoidance. Proc. Second WEMT Conference London (May 77 ) 189–200Google Scholar
- /6/.Miloh, T.: The Game of two Elliptical Ships. Optimal Control Applications & Methods. Vol. 4, 13–29 (1983)MathSciNetMATHCrossRefGoogle Scholar
- /7/.Olsder, G.J.; Walter, J.: A Differential Game Approach to Collision Avoidance of Ships. Twente University of Technology, Enschede, The Netherlands (1977)Google Scholar
- /8/.Soeding, H.: Prediction of Ship Maneuvering Capabilities. Schiffstechnik. 29 (1 982)Google Scholar
- /1/.Kenan, G.: Collisional Avoidance between Surface Ships at Short Range. SNAME Northern California Section Paper, Los Angeles, USA (1972)Google Scholar
- /10/.Hilgert, H.: Die Bedeutung von Manöverkennwerten bei der Auslegung von Kollisionsverhütung für die Bedingungen der verminderten Sicht. Diss., TH Warnemünde/Wustrow (1980)Google Scholar
- /11/.Hampel, B.: Bestimmung des Manöverabstandes für den Kurshaltepflichtigen zur Vermeidung von Nahbereichssituationen. Institut für Schiffbau, Hamburg, Bericht Nr. 434 (1983)Google Scholar