FM 6-16 10 MAY 1979 By Order of the Secretary of the Army: BERNARD W. ROGERS General, United States Army Chief of Staff Official: J. C. PENNINGTON Major General, United States Army The Adjutant General DISTRIBUTION: Active Army, USAR and ARNG: To be distributed in accordance with DA Form 12-11A, Requirements for Tables for Artillery Meteorology (Qty rqr block no. 38). Additional copies can be requisitioned from the US Army Adjutant General Publications Center, 2800 Eastern Boulevard, Baltimore, MD, 21220. ✰ U.S. GOVERNMENT PRINTING OFFICE: 1994 - 342-421/81400 *FM 6-16 i C1, FM 6-16 ii FM 6-16 Cl HEADQUARTERS DEPARTMENT OF THE ARMY Washington, DC, 1 March 1982 CHANGE NO 1 TABLES FOR ARTILLERY METEOROLOGY (ELECTRONIC) BALLISTIC TYPE 3 AND COMPUTER MESSAGES FM 6-16, 10 May 1979, is changed as follows: 1. New or changed material is indicated by a star(*). 2. Remove old pages and insert new pages as indicated below: REMOVE i and ii 1-1 and 1-2 INSERT i and ii 1-1 and 1-2 2-133 3. File this change in the front of the publication for reference. By Order of the Secretary of the Army: E. C. MEYER General, United States Army Chief of Staff Official: ROBERT M. JOYCE Brigadier General, United States Army The Adjutant General DISTRIBUTION: Active Army, ARNG, and USAR: To be distributed in accordance with DA Form 12-11 A, Requirements for Tables for Artillery Meteorology (Qty rqr block no. 38). Additional copies may be requisitioned from the US Army Adjutant General Publications Center, 2800 Eastern Boulevard, Baltimore, MD 21220. Cl, FM 6-16 CHAPTER 1 INTRODUCTION 1-1. PURPOSE AND SCOPE a. This manual is a compilation of tables and charts designed for use in computing meteorological messages for the artillery, including ballistic and computer messages, radiological fallout prediction, and messages for transmitting data to Air Weather Service units. These tables and charts apply to all types of ballistic meteorological observations by electronic met sections using radiosondes. Use of this manual in the computation of messages is described in FM 6-15, Artillery Meteorology. b. Users of this manual are encouraged to submit recommended changes or comments to improve the manual. Comments should be keyed to the specific page, paragraph, and line of the text in which the change is recommended. Reasons should be provided for each comment to insure understanding and complete evaluation. Comments should be prepared using DA Form 2028 (Recommended Changes to Publications) and forwarded direct to Commandant, United States Army Field Artillery School, ATTN: ATSF-CF-R, Fort Sill, Oklahoma 73503. ★ c. FM 6-16, Tables for Artillery Meteorology, has been revised into a set of four field manuals. The set includes: ❑ FM 6-16 Tables for Artillery Meteorology (Electronic) Ballistic Type 3 and Computer Messages. ❑ FM 6-16-1 Tables for Artillery Meteorology (Sound Ranging) Messages. ❑ FM 6-16-2 Tables for Artillery Meteorology (Visual) Ballistic Type 3 and Computer Messages and Limited Surface Observations. ❑ FM 6-16-3 Tables for Artillery Meteorology (Electronic and Visual) Type 2 Messages. 1-2. DESCRIPTION OF TABLES AND CHARTS The tables and charts contained in this chapter are presented in sections I and II as follows: a. Section I, General Tables and Charts for Meteorological Messages. These tables and charts are used in computing data for both electronic ballistic and computer meteorological messages. b. Section II, Tables for Type 3 Messages, Ballistic Messages for Surface-to-Surface Trajectories. These tables include the weighting factors and the weighted quantities for density, winds, and temperatures pertaining to all artillery weapons firing at terrestrial targets and tables for standard conditions at ballistic and computer zone midpoints. 1-3. TIME ZONES, GLOBAL OCTANTS, AND CLIMATIC REGIONS Figure 1-1 divides the world into time zones, global octants, and climatic regions, used in the heading of meteorological messages. 1-1 Cl, FM 6-16 1-2 FM 6-16 CHAPTER 2 METEOROLOGICAL TABLES AND CHARTS SECTION I. GENERAL TABLES AND CHARTS FOR METEOROLOGICAL MESSAGES 2-1. GENERAL The tables and charts included in this chapter are used for computing general meteorological data for all types of meteorological messages. 2-2. ZONE STRUCTURE OF ATMOSPHERE For convenience in computing, reporting, and applying corrections, the standard atmosphere is further identified by dividing it into zones for standard heights. The zones for the various meteorological messages are illustrated in figure 2-1. 2-3. HORIZONTAL DISTANCE TABLES a. Horizontal distance tables are computed for the standard heights of the zone structure as shown in figure 2-1 and for a curved Earth surface according to the following formula: b. In this formula, D is the arc distance of the Earth’s surface in meters and is the elevation angle to a balloon at standard height H. R is the average radius of the Earth, 6,367,650 meters. 2-1 FM 6-16 2-2 FM 6-16 2-3 FM 6-16 2-4 FM 6-16 2-5 FM 6-16 2-6 FM 6-16 2-7 FM 6-16 2-8 FM 6-16 2-9 FM 6-16 2-10 FM 6-16 2-11 FM 6-16 2-12 FM 6-16 2-13 FM 6-16 2-14 FM 6-16 2-15 FM 6-16 2-16 FM 6-16 2-17 FM 6-16 2-18 FM 6-16 2-19 FM 6-16 2-20 FM 6-16 2-21 FM 6-16 2-22 FM 6-16 2-23 FM 6-16 2-24 FM 6-16 2-25 FM 6-16 2-26 FM 6-16 2-27 FM 6-16 2-28 FM 6-16 2-29 FM 6-16 2-30 FM 6-16 2-31 FM 6-16 2-32 FM 6-16 2-33 FM 6-16 2-34 FM 6-16 2-35 FM 6-16 2-36 FM 6-16 2-37 FM 6-16 2-38 FM 6-16 2-39 FM 6-16 2-40 FM 6-16 2-41 FM 6-16 2-42 FM 6-16 2-43 FM 6-16 2-44 FM 6-16 2-45 FM 6-16 2-46 FM 6-16 2-47 FM 6-16 2-48 FM 6-16 2-49 FM 6-16 2-50 FM 6-16 2-51 FM 6-16 2-52 FM 6-16 2-53 FM 6-16 2-54 FM 6-16 2-55 FM 6-16 2-56 FM 6-16 2-57 FM 6-16 2-58 FM 6-16 2-59 FM 6-16 2-60 FM 6-16 2-61 FM 6-16 2-62 FM 6-16 2-63 FM 6-16 2-4. CONVERSION OF WIND SPEED Figure 2-2 is used to convert wind speed in knots and miles per hour. 2-64 FM 6-16 2-65 FM 6-16 2-66 FM 6-16 2-67 FM 6-16 2-68 FM 6-16 2-69 FM 6-16 2-70 FM 6-16 2-71 FM 6-16 2-72 FM 6-16 2-73 FM 6-16 2-74 FM 6-16 2-5. PRESSURE CONVERSION The millibars of pressure for a certain number of inches of mercury maybe determined from figure 2-3. Formula: 1,000 Millibars = 29.53 inches of Mercury. 2-75 FM 6-16 2-6. CONVERSION OF PRESSURE TO PERCENT OF STANDARD The conversionof surface pressure in millibars to percent of the standard mean sea level (MSL) pressure is accomplished by use of the chart in figure 2-4. 2-76 FM 6-16 2-7. PRESSURE TO CONTACT CONVERSION The conversion of pressure in millibars to contact value in tenths, or vice versa, is accomplished by use of the chart in figure 2-5. 2-77 FM 6-16 2-8. RELATIVE HUMIDITY Relative humidity may be determined by use of a psychrometer and psychrometer tables or by use of the chart in figure 2-6. 2-78 FM 6-16 2-9. TABLE OF CORRECTIONS USED TO DETERMINE VIRTUAL TEMPERATURE FOR PLOTTING CHART ML-574( ) a. Table 2-4 provides temperature multipliers which, when multiplied by relative humidity values (i.e., 45% = 0.45, etc.) and added to the observed temperature values, yield virtual temperatures. b. Enter the table with the observed air temperature rounded off to the nearest whole degree Celsius and the observed pressure rounded off to the nearest 50 millibars. If the observed pressure value ends with 25 of 75 (e.g., 925 or 775), round off to the lower 50-millibar value. Do not interpolate. 2-79 FM 6-16 2-80 FM 6-16 2-81 FM 6-16 2-82 FM 6-16 SECTION II. TABLES FOR TYPE 3 MESSAGE, BALLISTIC MESSAGE FOR SURFACE-TO-SURFACE TRAJECTORIES grams per cubic meter to zone densities in 2-10. GENERAL percent of standard for that zone and to Tables 2-5 through 2-10 contain the weighting factors used in obtaining a type 3 meteorological message. Some of the tables present the weighting factors directly; in others, the weighting factors are used to determine the effect of the various zone values on the line values of the meteorological message. The weighting factors used are those approved, on an interim basis, by the fifth meeting of the NATO Group on External Ballistics, November 1960. 2-11. WEIGHTED DENSITY TABLES (TYPE 3 MESSAGE) a. The weighted density tables give the weighted densities for the type 3 message (surface-to-surface firing). They may be used to convert zone densities in convert zone densities to the weighted effect of these zone densities on the various line values of the meteorological message. b. The values in the Density % column were computed by dividing the 3 GM/M value by the zone midpoint standard density. c. The Line-zone No. values were computed by multiplying the Density % values by the weighting factors shown in table 2-5. Line-zone No. 21 is the product of the weighting factor (.43), line 2 of zone number 1, table 2-5, and the Density % value. Line-zone No. 32 is the product of the weighting factor (.31), line 3 of zone number 2, table 2-5, and the Density % value. 2-83 2-12. SURFACE DENSITY, PERCENT OF STANDARD The surface density, in grams per cubic meter and expressed as a standard surface density, may be determined from the chart in figure 2-7. 2-84 FM 6-16 2-85 FM 6-16 2-86 FM 6-16 2-87 FM 6-16 2-88 FM 6-16 2-89 FM 6-16 2-90 FM 6-16 2-91 FM 6-16 2-92 FM 6-16 2-93 FM 6-16 2-94 FM 6-16 2-95 FM 6-16 2-96 FM 6-16 2-97 FM 6-16 2-98 FM 6-16 2-99 FM 6-16 2-100 FM 6-16 2-101 FM 6-16 2-102 FM 6-16 2-13. SURFACE TEMPERATURE, PERCENT OF STANDARD The conversion of surface temperature to percent of standard surface temperature is accomplished by use of the chart in figure 2-8. 2-103 FM 6-16 2-14. WEIGHTED TEMPERATURE TABLES (TYPE 3 MESSAGE) a. The weighted temperature tables (table 2-8) may be used to convert zone temperatures in degrees Celsius to zone temperatures in percent of standard for each zone. They may also be used to convert zone temperatures to the weighted effect of temperature on the various line values of the meteorological message. b. The Zone temperature % column is the quotient of the zone temperature divided by the standard zone temperature. c. The Line-zone No. values are the product of the weighting factors in table 2-7 and the Zone temperature % values. The Line-zone No. values of column 21 are the product of the weighting factor (.27), line 2 of zone number 1, table 2-7, and the Zone temperature % values. 2-104 FM 6-16 2-105 FM 6-16 2-106 FM 6-16 2-107 FM 6-16 2-108 FM 6-16 2-109 FM 6-16 2-110 FM 6-16 2-111 FM 6-16 2-112 FM 6-16 2-113 FM 6-16 2-114 FM 6-16 2-115 FM 6-16 2-116 FM 6-16 2-117 FM 6-16 2-118 FM 6-16 2-15. Weighted Wind Speed Tables (Type 3 Message) a. The weighted wind speed tables (table 2-10) may be used to convert zone winds to the weighted effect of these winds on the various line values of the meteorological message. b. The Line-zone No. values are the product of zone wind values and the weighting factor values shown in table 2-9. The values of Line-zone No. 21 are the product of zone wind speeds and the weighting factor (.20), line 2 of Zone No. 1, table 2-9. 2-119 FM 6-16 2-120 FM 6-16 2-121 FM 6-16 2-122 FM 6-16 2-123 FM 6-16 2-124 FM 6-16 2-125 FM 6-16 2-126 FM 6-16 2-127 FM 6-16 2-128 FM 6-16 2-129 FM 6-16 2-130 FM 6-16 2-131 FM 6-16 2-132 C1, FM 6-16 2-133 Cl, FM 6-16 ii Cl, FM 6-16 ii