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Re: (meteorobs) Zenith Attraction, some numbers



At 01:05 AM 8/2/99 EDT, GeoZay wrote:
>
>Jim,
>by any chance do you have the zenithal attraction shift for the pi-puppids? 
>Of IMO's working list, that probably would have the greatest shift with a 
>geocentric velocity of 18 km/s. 
>geozay

Using the classical equations from Lovell (Meteor Astronomy, 1954):

*   Vg^2 = Va^2 + 124.9

where:
vG = geocentric (observed) speed
Va = apparent speed (Earth velocity + meteor heliocentric velocity)

In this case:

Vg = 18 km/sec

va = 14 km/sec


*   tan((1/2) * dZa) = ((vg -va) / (vg +va)) * tan((1/2) * Za)

where:
Za = radiant zenith angle (deg) = 90 deg - radiant altitude (deg)
dZa = zenith attraction (deg)

In this case:

tan((1/2) * dZa) = 0.121 * tan((1/2) * zA)

Giving dZa as a function of Za:

dZa(30 deg) = 3.7 deg

dZa(60 deg) = 8.0 deg

dZa(90 deg) = 14 deg


This last gives the zenith attraction with the radiant located at the
horizon.  


Cheers,

     Jim



James Richardson
Tallahassee, Florida
richardson@digitalexp.com

Operations Manager / Radiometeor Project Coordinator
American Meteor Society (AMS)
http://www.amsmeteors.org

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