Page 215 - NAVAL SCIENCE 3 TEXTBOOK
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fJ The Maneuvering Board










        During your years as an  NjROTC cadet, you  have occasion to be   A I'eclor is  a plotted  line used  to represent  an)'  quantity that
        concerned with maneuvering boats and ships. On training cruises   has  both  magnitude  (size)  and  direction.  Since  vessels  have
        or visits to  naval  bases, you may find  yourself on board either a   courses  (direction) and  speeds  (magnitude)  of travel, and winds
        boat or a ship for training purposes. It is to be hoped that you will   have directions and speeds at which the}' blow, vessel courses, ves-
        have a chance to participate in  maneuvers, either as an observer or   sel speeds, and winds can be conveniently represented by vectors
        possibly as a junior watchstander.                     drawn on the maneuvering board.
           In  this chapter we will  introduce you to the basic concepts of
        the Illnncuvering board  and how to  use it  to construct a rdative
                                                               T he  Maneuvering  Board Plot
        Illotion plot to solve problems involving wind and the mnneuver-
        ing of ships and boats. The specific problems with which we will be   The maneuwring board  is a type of plot called in  mathematics a
        concerned are finding the closest point of approach  (the CPA) of   polar plot, wherein all quantities are plotted using their magnitudes
        other vessels to )'ours, finding their courses and speeds, and deter-  and directions, as opposed to their x- and y-coordinates as would
        mining the speed and  direction of the true wind. Such informa-  be the case on  a standard x-y  rectangular type  plot. The  maneu-
        tion is  needed to  assist  in  avoiding collisions in  various approach   vering board features a reference  position  in  the center called  the
        situations, and to put the ship on the proper course and speed for   pole,  a series  of concentric circles drawn around  the pole at  uni-
        flight operations with aircraft or unmanned aerial vehicles (UAVs).   form  intervals,  and a 360-degree "bearing circle" printed around
        There arc also many more advanced types of problems that can be   the outside circle.  On  the  left  and  right  margins  are  scales  that
        solved using the maneuvering board. As part of their formal train-  call  be used  to  represent lengths of vectors or distances between
        ing, enlisted operations specialists and line officers who stand deck   the concentric circles, and on  the bottom is a logarithmic speed-
        watches spend  many hours learning to solve all  kinds of maneu-  time-distance device called a nomogram, the use of which will  be
        vering problems with the maneuvering board.            described later.
                                                                  The polar plot on the maneuvering board can be used to plot
                                                               both  Ilectors,  representing vessel courses, speeds, and  tracks,  or
        Relative  Motion
                                                               wind speeds and directions, and POil/lS, representing locations of
        You  know both from observtltions of the  world  around  you and   your own ;'1I1d other vessels.
        from  math and  ph}'sics courses  you Illay have  taken that  there is   To  usc  the maneuvering board,  you will  need  the following
        no such thing as absolute rest or absolute motion. Rather, all states   plotting instruments:  a pencil  to draw vectors and  plot points; a
        of rest  or motion tire said to be relative to some reference point in   parallel ruler and a triangle to assist in drawing vectors and to pick
        space or location on Earth. In driving a car,  for example, the refer-  off directiolls;  and  navigator's  dividers  or a drawing compass  to
        ence for how fast  it is going is the road on Earth's surface (or some-  pick off distallces between two points.
        times the police officer's radar or laser gun). In a passing situation,   In order to construct a maneuvering board plot, it is first  nec-
        the reference for how fast another car is passing YOli is you in your   essary to  decide the frame of reference lor the  plot you are going
        car.  And  the reference for  parallel  ptlrking is the car in  front and   to  construct.  For most purposes, this will  be your own vesse\. So
        the car behind the empty space YOll want.              the first step is to plot a point on the pole to represent YOllr boat or
           At  sea,  the reference for what other vessels and  the wind are   ship; it is labeled with a capital R, for referellce vessel.
        doing  relative to  )'our  vessel  is your boat or ship. 'tb determine   Next, your vessel's course and speed need to be represented by
        these  things,  it is  helpful  to  construct a relative  motion diagram   a vector drawn on the diagram. To do this, first  choose a suitable
        on a standard plotting sheet called a 111l111ell\Ierillg board. For those   scale to  represent the magnitude of the speed from  among those
        who  have  taken math  courses or physics, YOll  ma)' recognize  the   in the left and right margins; lIsually either the 3: I or the 4: I scale
        relative  Illotion  diagram  drawn  011  the  maneuvering  board  as   is a good choice, as this will  produce a nice-sized vector to work
        being a kind of vector diagram.                        with on the plot. Now,  using a straight-edge or the parallel  ruler,
                                                               layoff a line for the vector, using the pole as the origin, toward the



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