REM REM THIS IS PROGRAM HOLECALC.BAS. IT CALCULATES THE PROPERTIES OF REM A NEWTONIAN BLACK HOLE (MASS DENSITY OR RADIUS) GIVEN ONE OF REM THOSE PROPERTIES.***THIS IS VERSION # 2*** REM IT CAN BE SHOWN THAT IF K = 3*C^2/(4*Pi*G) = 3.22 * TEN(27) GM/CC REM THAT R^2*D = K, WHERE C IS THE VELOCITY OF LIGHT, G IS REM NEWTON'S GRAVITATIONAL CONSTANT, PI = 3.1415926, R IS THE REM IS THE CRITICAL RADIUS AND D IS THE CRITICAL DENSITY AT THAT REM RADIUS. REM PREVIOUS ESTIMATES WERE BASED ON A MISTAKE BY THE REV MR REM MICHELL IN PROCEDINGS OF ROYAL ACADEMY (LONDON), WHO ASSUMED REM THAT IF THE ESCAPE VELOCITY WAS C, BODIES WOULD BE UNABLE TO REM LEAVE THE BLACK HOLE. IT IS PATENTLY OBVIOUS FROM CELESTIAL REM MECHANICS THAT SUBLUMINIAL VELOCITY OBJECTS WOULD BE ABLE TO REM ORBIT UNTIL THE ESCAPE VELOCITY REACHED 2^.5 * C, AT WHICH REM NOT EVEN LIGHT WOULD BE ABLE TO ORBIT. REM THIS PROGRAM WAS WRITTEN BY MIKE FINERTY, 11/25/84 IN S-BASIC REM 200 YEARS AFTER MR MICHELL'S MISTAKE. REVISED 4/23/85. REM ************************************************************* REM 10 VAR K,G,RLOG,DLOG,MLOG,QUANT,SOLS,L = REAL VAR ANS, RESPONSE = STRING:10 LET L = 2.302585 LET K = 3.22E+27 REM PRINT "PROGRAM RETURNS CRITICAL VALUE OF R,D&M IN CGS SYSTEM" PRINT "PLEASE SELECT INPUT" PRINT PRINT "R ....... RADIUS IN CM" PRINT PRINT "D ....... DENISTY IN GRAMS/CC" PRINT PRINT "M ....... MASS IN GRAMS" PRINT PRINT "MLOG .... LOGARITHM OF MASS IN GRAMS" PRINT REM INPUT "PLEASE INPUT LETTER OF CHOICE"; RESPONSE INPUT "PLEASE INPUT QUANTITY OF CHOICE"; QUANT IF ABS(LOG(QUANT)/L) > 34 THEN PRINT "OUT OF RANGE" IF ABS(LOG(QUANT)/L) > 34 THEN GOTO 20 PRINT RESPONSE;" = ";QUANT REM CASE RESPONSE OF "R": BEGIN DLOG = LOG(K)/L - (2*LOG(QUANT)/L)) MLOG = .6220886 + LOG(K)/L + LOG(QUANT)/L PRINT "DENSITY=";10^(DLOG-INT(DLOG));"TEN";INT(DLOG);" GMS/CC" PRINT "MASS = ";10^(MLOG-INT(MLOG));"TEN";INT(MLOG);" GMS" SOLS = MLOG - 33.29885 PRINT "SOLAR MASSES = ";10^(SOLS-INT(SOLS));"TEN";INT(SOLS);" SOLS" END "D": BEGIN RLOG = 0.5*(LOG(K)/L - LOG(QUANT)/L) MLOG = .6220886 + 0.5*(3*LOG(K)/L-LOG(QUANT)/L) SOLS = MLOG - 33.29885 PRINT "RADIUS =";10^(RLOG-INT(RLOG));"TEN";INT(RLOG);" CM" PRINT "MASS =";10^(MLOG-INT(MLOG));"TEN";INT(MLOG);" GMS" PRINT "SOLAR MASSES = ";10^(SOLS-INT(SOLS));"TEN";INT(SOLS);" SOLS" END "M": BEGIN DLOG = 1.244177 + 3*LOG(K)/L -2*LOG(QUANT)/L RLOG = -.6220886 +LOG(QUANT)/L-LOG(K)/L SOLS = LOG(QUANT)/L - 33.29885 PRINT "DENSITY = ";10^(DLOG-INT(DLOG));"TEN";INT(DLOG);" GMS/CC" PRINT "RADUIS = ";10^(RLOG-INT(RLOG));"TEN";INT(RLOG);" CM" PRINT "SOLAR MASSES = ";10^(SOLS-INT(SOLS));"TEN";INT(SOLS);" SOLS" END "MLOG": BEGIN SOLS = QUANT - 33.2989 DLOG = 1.24418 + 3*LOG(K)/L - 2*QUANT RLOG = -.622089 + QUANT - LOG(K)/L PRINT "SOLAR MASSES =";10^(SOLS-INT(SOLS));"TEN";INT(SOLS);" SOLS" PRINT "DENSITY =";10^(DLOG-INT(DLOG));"TEN";INT(DLOG);" GMS/CC" PRINT "RADIUS =";10^(RLOG-INT(RLOG));"TEN";INT(RLOG);" CM" END END 20 PRINT "DO YOU WISH TO TRY ANOTHER VARIABLE OR VALUE? Y/N?" INPUT ANS IF ANS = "Y" OR ANS = "y" THEN GOTO 10