Skip to main content

The Minimum Manoeuvering Range as a Criterion to Evaluate the Risk of Collision Between Ships

  • Conference paper
Maritime Simulation

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.

For this purpose the Minimum Maneuvering Range seems to be a suitable parameter. It describes the minimum distance from the other ship, which one ships needs to avoid a collision, when starting her evasive maneuver. To calculate the Minimum Maneuvering Range and the corresponding evasive maneuver the

  • actual maneuverability of the own ship and

  • possible maneuvers of the other ship have to be taken into account.

Two methods to solve this problem are considered.

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.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

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)

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

References

  1. Isaacs, R.: Differential Games. John Wiley and Sons, New York (1965)

    MATH  Google Scholar 

  2. Merz, A.W.: Optimal Evasive Maneuvers in Maritime Collision Avoidance. Navigation 20 (1973) 144–152

    Google 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 ) 189–200

    Google Scholar 

  6. Miloh, T.: The Game of two Elliptical Ships. Optimal Control Applications & Methods. Vol. 4, 13–29 (1983)

    Article  MathSciNet  MATH  Google 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 

  9. 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 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1985 Springer-Verlag Berlin · Heidelberg

About this paper

Cite this paper

Hampel, B. (1985). The Minimum Manoeuvering Range as a Criterion to Evaluate the Risk of Collision Between Ships. In: Heller, M.R. (eds) Maritime Simulation. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82560-6_22

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-82560-6_22

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82562-0

  • Online ISBN: 978-3-642-82560-6

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics