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CASSINI

Cassini MIMI Investigation at Fundamental Technologies

 

Numerical Computation of Energy-Dependent Geometric Factors of E and F Electron Detectors of CASSINI/MIMI/LEMMS

 

Technical Report by Xiaodong Hong and Thomas P. Armstrong, May 10, 1997

 
*******************************************************************************
*                                                                             *
*			PROGRAM I.4			   *
*                                                                             *
*******************************************************************************
*                                                                             *
*                             TRACKSUB4.FOR                                   *
* THIS FILE CONTAINS THE SUBROUTINES THAT EVALUATE THE ENERGY & THE           *
* VELOCITY COMPONENTS OF THE VELOCITY.ALSO, IT CONTAINS THE SUBROUTINE        *
* THAT READS THE COORDINATES OF THE VERTICES OF THE PLANE SURFACES AND        *
* THE PLANE COEFFICIENTS FROM THE FILES AND INITIALISES THE ARRAYS.           *
*                                                                             *
*******************************************************************************
 
      SUBROUTINE VELOPROJ(V,VX,VY,VZ,THETA,PHI)
C PURPOSE : GIVEN THE VELOCITY, TO FIND THE COMPONENTS OF VELOCITY
C IN THE CARTESIAN COORDINATE SYSTEM I.E. TO FIND Vx,Vy,Vz
      REAL*8 PHI,PHI1,PI,RAD,THETA,THETA1,V,VX,VY,VZ
      PI = 4.0D0 * DATAN(1.0D0)
      RAD = PI/180.0D0
      THETA1 = THETA * RAD
      PHI1 = PHI * RAD
      VX = V * DSIN(THETA1) * DCOS(PHI1)
      VY = V * DSIN(THETA1) * DSIN(PHI1)
      VZ = V * DCOS(THETA1)
 
      RETURN
      END
   
C---------------------------------------------------------------------
C---------------------------------------------------------------------
      REAL*8 FUNCTION EVELO(EK)
   
C PURPOSE : TO FIND THE RATIO OF THE VELOCITY OF THE e TO THE VELOCITY
C OF LIGHT. I.E. TO COMPUTE V/C GIVEN THE INITIAL ENERGY OF THE ELECTRON 
C IN MEV.             2                    2
C FORMULA USED : (V/C) = 1 -   (REST MASS)
C                           ---------------- 2
C                          (K.E. + REST MASS)
      IMPLICIT NONE
      REAL*8 C,E1,EK,TEMP
      DATA C/2.998D0/,E1/0.511D0/
   
      TEMP = E1/(E1+EK)
      EVELO = C * DSQRT(1 - TEMP*TEMP)
  
      RETURN
      END
       
C---------------------------------------------------------------------
C----------------------------------------------------------------------
      SUBROUTINE GEOM
 
C PURPOSE: THIS SUBROUTINE OPENS THE FILES:
C  COOR*.DAT:IT CONTAINS THE COORDINATES OF ALL THE VERTICES OF ALL THE 
C            PLANE SURFACES THAT THE PARTICLE IS LIKELY TO HIT 
C  COEFF.DAT:IT CONTAINS THE CONSTANT COEFFICIENTS A,B,C,D OF EACH OF THE
C            PLANES THAT THE PARTILCE IS LIKELY TO HIT
C  AND IT INITIALISES THE ARRAYS:
C  CHAN:EACH ROW CORRESPONDS TO A PLANE SURFACE;
C       COL. 1:NO. OF VERTICES OF THAT PLANE POLYGON
C       COL. 2>>>COL. NVERT*3+1 :ALL THE COORDINATES OF THE VERTICES
C  COEFF:EACH ROW CORRESPONDS TO A PLANE POLYGON
C       COL. 1>>>COL. 4 :A,B,C,D
      IMPLICIT NONE
      CHARACTER*72 FNAME,FNAME1
      INTEGER HIT,I,I1,I2,J,K,MAXCOO,MAXSURF,NS,NV,NSURF,NVERT,NTY
      PARAMETER (MAXCOO=62,MAXSURF=62)
      REAL*8 A,B,C,D
      REAL*8 CHAN(MAXSURF,MAXCOO),COEFF(MAXSURF,4),TLN(2,3),VERT(10,3),
     & Y(6)
      COMMON /CHAN/CHAN,/TLN/TLN,/COEFF/COEFF,/NTY/NTY
      WRITE(6,*) 'ENTER THE NAME OF THE FILE OF COORDINATES'
      READ(5,10) FNAME
      OPEN (UNIT=1,STATUS='OLD',FILE=FNAME)  
      WRITE(6,*) 'ENTER THE NAME OF THE FILE OF COEFFICIENTS'
      READ(5,10) FNAME1
      OPEN (UNIT=2,STATUS='OLD',FILE=FNAME1)  
      READ (1,*)
2     READ(1,*,END=70) NTY
      READ(1,*) NVERT
      CHAN(NTY,1) = DFLOAT(NVERT)
      I1=2
3     READ(1,20,ERR=2) (CHAN(NTY,K),K=I1,I1+2)
      I1=K
      GO TO 3
70    CLOSE(1)
c      do i = 1,maxsurf
c	do j = 1,chan(i,1)
c	   WRITE(6,*) (i)
c	   do k = (j-1)*3+2,(j-1)*3+4
c	       chan(i,k)=chan(i,k)/2.540005
c	   end do                               
c	   write(6,*) (chan(i,k), k=(j-1)*3+2,(j-1)*3+4)
c	end do
c      end do
      I2=1
4     READ(2,30,END=80) NS,NV,(COEFF(I2,J),J=1,4)
C	WRITE(6,*)(NS,NV,(COEFF(I2,J),J=1,4))
      I2=I2+1
      GO TO 4
80    CLOSE(2)

c       DO I=1,NTY
c        WRITE(6,*) 'SURFACE NO.:',I
c        WRITE(6,*)'COORDINATES ARE:'
c        WRITE(6,*) (CHAN(I,J),J=2,IDINT(CHAN(I,1))*3+1)
c        WRITE(6,*) 'THE PLANE COEFFICIENTS ARE:'
c        WRITE(6,*) (COEFF(I,J),J=1,4)
c       END DO
   
10    FORMAT(A72)
20    FORMAT(3(X,F9.6))
30    FORMAT(1X,I3,1X,I3,4(1X,D13.6))
      RETURN
      END
C-------------------------------------------------------------------------
C-------------------------------------------------------------------------
      SUBROUTINE PASSOUTPUT
C PURPOSE:THIS PROGRAM OUTPUTS THE POLAR & THE AZIMUTHAL ANGLES 
C         OF THE ESCAPING PARTICLES ONTO A FILE.
C
C NPAS : TOTAL NO. OF PARTICLES THAT ESCAPE THE SENSOR ASSEMBLY
C PAS(I,J)      : 2-D ARRAY 
C        I      : NO. OF ESCAPING PARTICLE
C        J=1    : POLAR ANGLE AT THE DETECTOR
C         =2    : AZIMUTHAL ANGLE AT THE DETECTOR
C         =3    : POLAR ANGLE AT THE APERTURE
C         =4    : AZIMUTHAL ANGLE AT THE APERTURE
C         =5-10 : X,Y,Z,Vx,Vy,Vz OF THE ESCAPING PARTICLE
c	  =11   : sine of the incident angle
c	  =12   : the number of the plane the particle hits
c         =13-15: the coordinates of the impact
 	
      IMPLICIT NONE   
      CHARACTER*72 FNAME1,FNAME2,FNAME3,FNAME4
      INTEGER I,J
      REAL*8 PASVEL(10000,2),PI,RAD
     
C     COMMON /PASVEL/PASVEL
      COMMON /FNAME1/FNAME1
      COMMON /FNAME4/FNAME4
      COMMON /FNAME2/FNAME2,FNAME3
      INCLUDE 'PASS5.CMN'
   
      PI = 4.0D0*DATAN(1.0D0)
      RAD = 180.0D0/PI
    
      OPEN(UNIT=8,FILE=FNAME1,ACCESS='SEQUENTIAL',STATUS='OLD')
      OPEN(UNIT=1,FILE=FNAME2,ACCESS='SEQUENTIAL',STATUS='OLD')
      OPEN(UNIT=2,FILE=FNAME3,ACCESS='SEQUENTIAL',STATUS='OLD')
C     OPEN(UNIT=3,FILE=FNAME4,ACCESS='SEQUENTIAL',STATUS='OLD')
      WRITE(8,*) 'NPAS:',NPAS
      write(1,25)	
      WRITE(8,*)
      WRITE(8,20)
      DO I=1,NPAS
       PAS(I,3) = PAS(I,3)*RAD
       PAS(I,4) = PAS(I,4)*RAD       
c      PASVEL(I,1) = PASVEL(I,1)*RAD
c      PASVEL(I,2) = PASVEL(I,2)*RAD
       WRITE(8,10) (PAS(I,J),J=1,10)
	if (pas(i,11).eq.0) then
             WRITE(1,50) PAS(I,1),PAS(I,2)
	else
             WRITE(1,40) PAS(I,1),PAS(I,2),(pas(i,j),j=11,15)
	end if 
      WRITE(2,30) PAS(I,3),PAS(I,4)
c      WRITE(3,30) PASVEL(I,1),PASVEL(I,2)
      END DO
10   	FORMAT(1X,4(F7.2,X),6(D15.8,X))
20   	FORMAT (1X,' THETA ',1X,'  PHI  ',1X,' OMEGA ',1X,'  PSI  ',
     & 	X,6X,'X(+02)',3X,X,6X,'Y(+02)',3X,X,6X,'Z(+02)',3X,X,4X,
     & 	'VX(+10)',4X,X,4X,'VY(+10)',4X,X,4X,'VZ(+10)',4X)
25	format(1x,'  Theta',1x,' Phi   ',1x,'Sin(a) ',1x,'Plane ',1x,
     &  '     X    ',1x,'     Y    ',1x,'     Z    ')
30   	FORMAT(2(X,F9.3))
40   	format(4(x,f7.2),3(x,d10.3))
50	format(2(x,f7.2))
      RETURN
      END
C----------------------------------------------------------------------------
C----------------------------------------------------------------------------
      REAL*8 FUNCTION FPHI(XT,YT)
C
      IMPLICIT NONE
      REAL*8 PI,TOL,XT,YT
      PARAMETER (TOL=0.1D-10)
D     PRINT *,'TOL: ',TOL
      PI=4.0D0*DATAN(1.0D0)
      IF (DABS(XT).LT.TOL .AND. YT.GT.0.0D0) THEN
         FPHI=PI/2.0D0
D        PRINT *,'I AM IN 1'
      ELSE
         IF (DABS(XT) .LT. TOL .AND. YT.LT.0.0D0) THEN
           FPHI=1.5D0*PI
D          PRINT *,'I AM IN 2'
         ELSE
           IF (XT.GT.0.D0.AND.YT.GE.0.0D0) THEN
             FPHI=DATAN(YT/XT)
D            PRINT *,'I AM IN 3'
            ELSE
              IF (XT.LT.0.0D0.AND.YT.GE.0.D0) THEN
                FPHI=PI-DATAN(YT/DABS(XT))
D               PRINT *,'I AM IN 4'
              ELSE
                IF (XT.LT.0.D0.AND.YT.LE.0.0D0) THEN
                  FPHI=PI+DATAN(YT/XT)
D                 PRINT *,'I AM IN 5'
                 ELSE
                     FPHI=2*PI-DATAN(DABS(YT)/XT)
D                    PRINT *,'I AM IN 6'
                 END IF
               END IF
            END IF
         END IF
      END IF
      RETURN
      END 
C------------------------------------------------------------------------
 

 

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Updated 8/8/19, Cameron Crane

QUICK FACTS

Manufacturer: The Cassini spacecraft was manufactured by NASA's Jet Propulsion Laboratory, and the Huygens Probe was manufactured by Thales Alenia Space.

Mission Duration: The Cassini-Huygens mission launched on October 15 1997, and ended on September 15 2017.

Destination: Cassini's destination was Saturn and its moons. The destination of the Huygens Probe's was Saturn's moon Titan.

Orbit: Cassini orbited Saturn for 13 years before diving between its rings and colliding with the planet on September 15th, 2017.