Monday, July 1, 2019

Sight Reduction With A Casio fx-300ES Pol function Formula

The following Pol formula works well with the Casio fx-300ES pocket calculator:

Pol(Tan DEC Cos Lat - Sin Lat Cos LHA ,  -Sin LHA ) = r and Theta (see image)
North(+)  South(-)

r is stored in answer key and the x variable
Theta is stored in the y variable

Arc Cos ANS Cos Dec = Hc  (calculated altitude)

360 + theta = azimuth

See this link for a good explanation.
http://fer3.com/arc/m2.aspx/Sight-reduction-using-calculators-POL-arctan2-key-Bernecky-apr-2018-g41742


Alternate Pol formula using the Casio variables:  A (assumed latitude), D (declination), and M (meridian angle LHA)

Pol(Tan D Cos A - Sin A Cos M , - Sin M) = r  theta   

Arc Cos Ans Cos D = Hc

360 + theta = azimuth

note- to store in variables: angle entered: degree (DMS) minutes tenths (DMS) Shift STO A,D,M