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a. Outside Expansion Area for a fly-over WP. See appendix 1, figures 3, 9, 13, and 14.
(1)
Construct a line perpendicular to the course centerline at the latest point of the displacement tolerance of the TWP. This line, C'-A-B, is the baseline for constructing a set of arcs to establish boundaries of the outside expansion areas. See appendix 1, figure 14.

(2)
Locate point C at a distance of R1 from edge of the primary area. Using point C on the baseline as a center point, draw an arc with radius R1 from C' on the outside edge of the primary area of the turn. (R1 is a boundary radius selected from table 1.) Draw a second arc with radius R2, using point C as a center point, from the outer edge of the secondary area on the outside of the turn. (R2 is R1 plus [1 NM or 3 NM] of secondary width, whichever applies.) See appendix 1, figure 13.


Table 2. Departure Turning Radii
(3)
To determine the elevation for application of table 1, use the flight track distance to the WP applying the 200-feet per mile and/or published climb gradient where applicable.

(4) Locate point D:

(a) For turns 90°
 or greater, on the baseline at a distance R1 from point C. See appendix 1, figure 14 and 16.

(b) For turns less than 90.
, on the reference line at a distance R1 from point C. Construct this reference line from point C parallel to the course following the TWP. See appendix 1, figure 15.


(5)
Using point D as a center point, draw two arcs with radius R1 and R2, respectively. Using tangent lines at 30° relative to the succeeding course, connect these arcs to the succeeding primary and secondary area boundaries, respectively. See appendix 1, figure 4. (On shallow angled turns, the 30° tangent will not always be possible. This occurs where the tangent point falls inside the secondary area's boundary. See appendix 1, figure 15.) Radius R1 and R2 arcs define the primary and secondary expansion areas, respectively.

(6) Connect corresponding arcs with straight tangent lines.

(7)
The radii in table 1 apply also for the primary area boundary radii. Use the boundary radius for 250 KIAS.

(8) Expansion within the splay areas.

(a)
Where a turn occurs prior to the splayed areas reaching the 2/1 primary/secondarywidths, the same construction applies as in paragraph 9a(4) and (5); except, the primary arc R1 is drawn from the edge of the primary area, point C’, abeam the latest point of the displacement tolerance of the TWP. Draw the secondary arc of radius R2 (1 NM). Extend the secondary area splay (prior to turn), until it intersects the arc at point E. See appendix 1, figure 16.

(b)
Where a turn occurs when the 2/1 NM primary/secondary areas to the 3/3 primary and secondary areas respectively occurs within the turn area expansion, a similar construction applies as in paragraph 9a(8)(a).

(c)
Where the first WP is less than 2 NM beyond the DER, the inside turn boundary begins 500 feet abeam the DER or at least 1 NM prior to the plotted position of the TWP. See appendix 1, figure 16.

b. Inside Expansion Area for a fly-by WP.

(1)
Where turns occur during the initial splays, the width of the segment following the TWP begins at the same width the preceding segment ended and the splays continue as described in paragraph 8, except for turn expansion area indicated below.

(2)
Locate a point on the primary area boundary on the inside of the turn, at the DTA measured parallel to the course back from the earliest point of the TWP's displacement area. See appendix 1, figure 10. The DTA is determined by the following formula:

Where: TR = Aircraft turning radius from table 2

(3)
When the obstacle clearance area boundaries of the segments preceding and following the WP are parallel with the course centerline, see appendix 1, figure 12:


(a) Expand the primary boundary area by an angle equal to one-half of the course change.
 
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