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# Calculations in a query

Posted on 2006-11-12
Medium Priority
293 Views
I need to write an SQL query that will calculate the distance between to sets of latitude and longitudinal points, and the sorts then by distance.

The point of this is to search for businesses by proximity to a customer's zip code. I have a list of the lat and long values of each zip code the US, and plan to use a LEFT JOIN to join that to the list of companies so that a user can search just by using their zip code.

Here is the equation I will be using:

d = arc(sin(p1.lat)*sin(p2.lat) + cos(p1.lat)* cos(p2.lat)* cos(p2.lon-p1.lon)) * R; where R = 6371, and represents the radius of the earth in kilometers.
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Question by:DrDamnit
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LVL 143

Expert Comment

ID: 17926389
as you can see, the functions COS and SIN are present, not sure which one you mean by arc()...
http://dev.mysql.com/doc/refman/5.0/en/mathematical-functions.html

so what is the problem actually?
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LVL 35

Expert Comment

ID: 17926409
Angel is correct about how to use cos and sin,

http://ben.milleare.com/2006/09/03/calculating-distance-with-latitude-and-longitude/

gives the query that I use to calculate distance using mysql queries
0

LVL 32

Author Comment

ID: 17926443
arc is arc cossin.
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LVL 35

Expert Comment

ID: 17926499
arc correspontds with: acos()

you can also have arc sine which is: asine()
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LVL 11

Accepted Solution

Isisagate earned 2000 total points
ID: 17931190
here is the query I use..... Maybe it will help you out....

SELECT
b.zip, b.state,
(3956 * (2 * ASIN(SQRT(
POWER(SIN(((a.lat-b.lat)*0.017453293)/2),2) +
COS(a.lat*0.017453293) *
COS(b.lat*0.017453293) *
POWER(SIN(((a.lng-b.lng)*0.017453293)/2),2)
)))) AS distance
FROM zips a, zips b, zips c
WHERE
a.zip = '[zip]' AND
a.zip = c.zip AND
(3956 * (2 * ASIN(SQRT(
POWER(SIN(((a.lat-b.lat)*0.017453293)/2),2) +
COS(a.lat*0.017453293) *
COS(b.lat*0.017453293) *
POWER(SIN(((a.lng-b.lng)*0.017453293)/2),2)
)))) <= [miles]
GROUP BY distance
0

LVL 32

Author Comment

ID: 17983694
Isisagate:

Can you alter that query to reflect the following data:

The list of businesses in teh databases is in biztable
The master list of zipcodes is in zipcity
The user will supply the zipcode as a single zipcode.

I would like the results ordred by the resulting distance from the zip code entered, and sorted in ASC order.
0

LVL 32

Author Comment

ID: 17983834
OK, I got the query altered, just one quick question: does this give the distance in miles?
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LVL 35

Expert Comment

ID: 17983852
yes
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