Distance and heading formula

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Distance and heading formula

Postby Guest on Sat May 18, 2002 4:39 pm GMT

can someone post here the formula for calculating the distance and heading on a great circle between two points?
Thanks[/img]
Guest
 

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Distance and course over a great circle

Postby admin on Mon May 27, 2002 5:10 pm GMT

taken from:http://williams.best.vwh.net/avform.htm#Dist
Distance between points
The great circle distance d between two points with coordinates {lat1,lon1} and {lat2,lon2} is given by:

d=acos(sin(lat1)*sin(lat2)+cos(lat1)*cos(lat2)*cos(lon1-lon2))

A mathematically equivalent formula, which is less subject to rounding error for short distances is:

d=2*asin(sqrt((sin((lat1-lat2)/2))^2 +
cos(lat1)*cos(lat2)*(sin((lon1-lon2)/2))^2))



Course formula:
tc1=mod(atan2(sin(lon1-lon2)*cos(lat2),
cos(lat1)*sin(lat2)-sin(lat1)*cos(lat2)*cos(lon1-lon2)), 2*pi)

8)
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Re: Distance and heading formula

Postby reetu on Thu May 15, 2003 4:53 pm GMT

Anonymous wrote:can someone post here the formula for calculating the distance and heading on a great circle between two points?
Thanks[/img]


hi,
for calculating the distance between two points on great circle use this formula.
D= sqrt (x2 + y2) = [ acos (sin(lat1)*sin(lat2) + cos(lat1)*cos(lat2)*cos(long2-long1)) ] * R
where R is the radiuos of earth.
use latitude, longitude in radians.
reetu
 

great circle formula

Postby Guest on Tue Jun 24, 2003 4:06 pm GMT

cosDist= sin latA*sin latB+cos latA*cos latB*cos (longB-longA)

sin Dist/sin (longB-longA)= cos latB/sin TC
Guest
 

Projecting "intermediate Points"

Postby Guest on Tue Jan 13, 2004 6:01 pm GMT

If I have two Points (Lat/Long/Time) that are 5 minutes appart does a formula exists for predicting "intermediate points" between the two one minute appart.
Guest
 


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