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How To Solve For Actual Variation

The chart indicates the variation was 3° 48' W in 1996 and the annual change is 8' W. If you use the chart in 2000, how much variation should you apply 

Given: 

             Variation = 3° 48' W in year 1996

   Annual change = 8' W

         Chart to use = year 2000

Solution: 

1. We are going to multiply the annual change of variation by 4 since our reference of variation is in the year 1996, and the chart to use is in the year 2000.

           Annual change = 8'

                                        × 4   

                   Correction = 0° 32' W

2. We can now get the actual variation by adding the correction and the variation in 1996.

                    Correction = 0° 32' W

                                         +

             1996 Variation = 3° 48' W  

          Actual variation = 4° 20° W

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Solving GHA Of Aries

Find the GHA of Aries from the following: GHA of star 061° 34. 5' and SHA of star 301° 47.6'? 

Given:

           GHA of star = 061° 34.5'

            SHA of star = 301° 47.6'

What is asked?

           Find the GHA of Aries 

Solution:

1. We have to subtract the GHA of star and SHA of the star to get the value of the GHA of Aries. 

     GHA of Aries = GHA of star - SHA of star

     GHA of Aries = 061° 34.5' - 301° 47.6'

2. Since GHA of star is less than the SHA of star, we have to add 360° to the GHA of star.

                  GHA of star =   061° 34.5'

                                           + 360°           

                  GHA of star =   421° 34.5'

3. Then minus     SHA =   301° 47.6'     

4. So the GHA of Aries =  119° 46.9' 

Solving the GHA  of Aries 


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How To Solve For Meridian Angle

If the LHA of the sun is 270°, what is the meridian angle? 

Given:

           270° - local hour angle of the sun

What is asked?

            Solve for the meridian angle 

Solution:

             Local  hour angle (LHA): Angular distance measured Westerly from the Local Celestial Meridian ( M ) to the body up to 360°. 

             Meridian angle: Angular distance measured East or West from the Local Celestial Meridian ( M ) to the body up to 180°. 


So the answer is 90° E.