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Re: (meteorobs) Distance for simultaneous meteor observation







> I have noticed this question come up several times
> before, so here is the precise answer to this query:<
>
> How about someone writing a meteorobs FAQ with all
> this useful information in !
>
> Any volunteers !

Definitions :
  s = distance [km] ALONG the earth surface from where
        the meteor is at zenith (the "zenith location").

  h = height [km] of the meteor (typical 80-120 km) at the
        "zenith location".

  r = earth radius (approx 6378 km)

  A(rad) = Angel [radians] above the horizon at which you see
        the meteor at s km away from the "zenith location".

  A(deg) = Same as A(rad), but in degrees (360 deg = full circle)


Calculations :

                               h cos(B) - (r - r cos(B))
     A(rad) = arctan ---------------------------------------
                                r sin(B) + h sin(B)

  where B = s / r

     A(deg) = A(rad) * 260 / (2 Pi)   ; Pi = 3.141592

Examples :

    Meteor height = h = 80 km :
       In the horizon at s = 1000 km,
       30 deg above the horizon at s = 135 km
       45 deg above the horizon at s = 80 km

    Meteor height = h = 100 km :
       In the horizon at s = 1120 km,
       30 deg above the horizon at s = 166 km
       45 deg above the horizon at s = 97 km

    Meteor height = h = 120 km :
       In the horizon at s = 1225 km,
       30 deg above the horizon at s = 200 km
       45 deg above the horizon at s = 116 km

I can send you an Excel program that calculates A as a function of s for a given
h.

 Regards,

 Birger Andresen, Norway.
 birger.andresen@fesil.no


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