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OF THE ROGER N. CLARK

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VISUAL ASTRONOMY <strong>OF</strong> <strong>THE</strong> DEEP SKY<br />

Table C.2 (cont. )<br />

2300 REM ** ******** cosineHA<br />

2301 REM subroutine to compute the cosine of the zenith angle when the<br />

2302 REM object is at the ho rizon = COSHA<br />

2305<br />

2307 X#= SQR(l#-COSHA# *COSHA# )<br />

2308 IF X#=O ! <strong>THE</strong>N X#=lE+37<br />

2310 HAHORZ# = PIHALF# - ATN (COSHA# /X#)<br />

2315 RETURN<br />

2400 REM ** ******** set time<br />

2401 REM subroutine to compute the set time of an object<br />

2402 REM<br />

2405 REM<br />

2410 TSET# (RA# + HAHORZ# + LONGR# )/(2#*PI#) - SOU<br />

2415 RETURN<br />

2450 REM ********** risetime<br />

2451 REM subroutine to compute rise time of an object<br />

2455 TRISE# = (RA# - HAHORZ# + LONGR# )/(2#*PI# ) - SOU<br />

2460 RETURN<br />

2500 REM ** ******** refcorr<br />

2501 REM subroutine to compute refraction corre ction to zenith angle .<br />

2502 REM<br />

2503<br />

2505<br />

25 10<br />

25 12<br />

25 15<br />

2517<br />

2520<br />

2550<br />

2551<br />

2552<br />

2555<br />

2560<br />

COSHA# =(COS (ZH#) - SIN( LATR# )*SIN( DEC# » /(COS (LATR#l*COS ( DEC# »<br />

note ra , hahoriz, longr are in radians , sO in decimal days<br />

REM the following computes the arcsin of (0.9986sin(0.9967za»<br />

X# = .9986047 * SIN( .9967614 * ZA# )<br />

X# = ATN( X# /SQR(l #-X#*X# »<br />

XTMP# = -1 !* PRESSURE * .0571716 /(273! * TEMPC )<br />

XCORR# = XTMP#*(ZA#- X# )*ONERAD#- .000579084#*ZA#*ONERAD#<br />

ZCORR# = ZAP + XCORR#/ ONERAD#<br />

RETURN<br />

REM ** ******** Altitude<br />

REM su brou tine to compute altitude in decimal degrees<br />

REM<br />

ALT# = (ZH# - ZCORR# )*ONERAD#<br />

RETURN<br />

2600 REM ** ******** Az imuth<br />

2601 REM su broutine to compute azimuth in decimal degrees<br />

2602 REM<br />

2603 Xl# = -l#*COS( DEC# )*SIN(HA# )<br />

2605 X2# = COS ( LATR# )*SIN(DEC# ) - SIN(LATR# )*COS (DEC#)*COS(HA# )<br />

2606 IF X2# = O! <strong>THE</strong>N AZIM# = 0# : RETURN<br />

2607 X# = ATN( Xl#/X2#)*ONERAD#<br />

2608 IF X2# > 0# AND Xl# < 0# <strong>THE</strong>N AZIM#<br />

2609 IF X2# > 0# AND Xl# > 0# <strong>THE</strong>N AZIM#<br />

26 10 IF X2# < 0# <strong>THE</strong>N AZIM# 180# + X#<br />

2620 RETURN<br />

2650 REM ********** Airmass<br />

26 51 REM subroutine to compute air mass of an object<br />

26 52 REM<br />

2655<br />

2660<br />

2661<br />

36011 + X#<br />

X = I! / COS(ZCORR# )<br />

IF ZCORR#= 1.3089 <strong>THE</strong>N AIRMAS = 3. 7978 + XTMP * 120<br />

2667 IF ZCORR# > ZH# <strong>THE</strong>N AIRMAS=999 !<br />

2670 RETURN<br />

X#<br />

a<br />

altitude<br />

azimuth<br />

B<br />

C<br />

Cl<br />

D<br />

Appendix D<br />

Symbols and their definitions<br />

The angular size of the telescope's<br />

diffraction pattern in arc-seconds.<br />

(Chapter 3)<br />

The maximum apparent field of<br />

view seen in an eyepiece. (Chapter<br />

3)<br />

The apparent diameter of an object<br />

as viewed by the human eye.<br />

(Chapter 3)<br />

The angular diameter of the diffraction<br />

disk in the telescope, defined<br />

as the diameter where the<br />

light falls to zero in the first dark<br />

ring of the diffraction pattern.<br />

(Chapter 3)<br />

The true angular diameter of an<br />

object in the sky. (Chapters 3, 5)<br />

The angular height of an object<br />

above the local true horizon.<br />

(Appendix C)<br />

The position angle of an object<br />

counting around the horizon; 0°<br />

when due north, 90° when due east,<br />

180° when due south, and 270°<br />

when due west. (Appendix C)<br />

The amount of light absorbed by<br />

the atmosphere, in stellar magnitudes.<br />

(Appendix C)<br />

The surface brightness of an object.<br />

(Chapters 2, 6; Appendices E, F)<br />

The surface brightness of the background<br />

around an object. (Chapters<br />

2, 6; Appendices E, F)<br />

The contrast between an object and<br />

its background. (Chapters 2, 6;<br />

Appendices E, F)<br />

Logarithm of the contrast between<br />

the main surface brightness of an<br />

object and sky background of 24.25<br />

magnitudes per square arc-second.<br />

(Appendices E, F)<br />

The diameter of a telescope objec-<br />

tive or primary mirror. (Chapters<br />

3, 4; Appendix F)<br />

De The diameter of the fully dilated<br />

human eye, usually taken to be ab<br />

out 7.5 millimeters. (Chapter 4)<br />

Dec The declination of an object.<br />

(Chapter 3; Appendix C)<br />

Dec The difference between two declinations.<br />

(Chapter 3)<br />

ep The diameter of a telescope's exit<br />

pupil. (Chapter 3)<br />

j The focal length of an eyepiece.<br />

(Chapter 3)<br />

jm The maximum usable focal length<br />

of an eyepiece. Larger than this, the<br />

apparent field would be restricted<br />

by the eyepiece tube assembly.<br />

(Chapter 3)<br />

F The effective focal length of a telescope.<br />

In simple reflectors or refractors,<br />

this is the focal length of<br />

the lens or primary mirror. In compound<br />

systems, it is the focal length<br />

of the primary times the magnification<br />

of one or more secondaries.<br />

(Chapter 3)<br />

GMSTO the mean sidereal time at Greenwich,<br />

England, calculated for 0<br />

hours UT on a given date. (Appendix<br />

C)<br />

h The observer's elevation above sea<br />

level in feet. (Appendix C)<br />

HA The hour angle of an object from<br />

the local meridian. (Appendix C)<br />

HA' The hour angle of an object on the<br />

horizon. (Appendix C)<br />

JD Julian Day. (Appendix C)<br />

k The atmospheric absorption per air<br />

mass in stellar magnitudes.<br />

(Appendix C)<br />

K The number of J ulian centuries<br />

from 12:00 UT January 1, 2000. A<br />

278<br />

279

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