**1. NAME AND TITLE**

LSVDC4: Space Vehicle Dose Calculation.

**AUXILIARY ROUTINES**

DIP: Data Input Program.

GEOM: Geometry Processor.

GEOTST: Geometry Data Test Program.

LMFC: Mission Flux Generator (Trapped Radiation).

FLARE: Mission Flux Generator (Solar Flux Events).

LSSC: Source Spectrum Converter.

DOSE: Dose Calculator.

**2. CONTRIBUTOR**

Lockheed-Georgia Company, Nuclear Analysis Department, Marietta, Georgia.

**3. CODING LANGUAGE AND COMPUTER**

FORTRAN II, FORTRAN IV AND MAP; IBM 7090 AND 7094 (A); FORTRAN IV; IBM
7090 (B).

**4. NATURE OF PROBLEM SOLVED**

LSVDC is a computer code system which provides an estimate of proton and alpha particle
dose within realistic space vehicle configurations. The DOSE program combines radiation source
data and geometric data and calculates proton, alpha, and electron physical doses (or dose rates) at
points associated with a geometric configuration. The doses due to proton and alpha induced
secondaries are included in the dose estimates. GEOM manipulates geometric data and computes
line-of-sight penetration thicknesses and solid angles associated with vectors emanating from a
detector point. The resulting data are written on magnetic tape for use by the DOSE code. The
GEOTST code provides assistance in determining the validity of the geometric input data by
scanning for character and format errors, checking for certain logical inconsistencies, and plotting,
off-line, selected cross sections of the geometric representation. LMFC calculates proton and
electron flux spectra integrated over trajectories through the trapped radiation belts of earth.
Arbitrary trajectories or orbital parameters may be specified. The FLARE code provides a
stochastic estimate, at various probability levels, of proton and alpha spectra which arise from solar
flux events. LSSC facilitates preparation of proton input spectra for LPPC.

**5. METHOD OF SOLUTION**

The DOSE program approximates the proton and alpha input spectra with power law representations over the energy range of interest. Analytic solutions of radiation transport through multi-layer shields of diverse materials are evaluated. The electron input spectrum is in tabular form. Shield materials are represented by an equivalent thickness of aluminum for the electron calculation. A transmitted dose is calculated for each input spectrum value; the total electron dose is computed by numerical integration.

GEOM constructs a vector array emanating from each detector point and determines material penetration lengths for each vector associated with a geometric configuration. The number of vectors is determined by input criteria for the maximum solid angle permitted. A configuration is determined by a set of volume elements. A volume element is determined by the surfaces that bound it. Bounding surfaces may include planes, ellipsoids, elliptic cylinders, and elliptic cones with arbitrary attitude and orientation. Volume elements may be noncontiguous, contiguous, overlapped or nested. A volume element need not be simply connected. GEOTST uses the techniques and input data of the GEOM program to plot arbitrary cross sections of the geometric configuration.

LMFC converts geographic coordinates to B-L coordinates and performs logarithmic interpolations in flux maps.

The FLARE code uses Monte Carlo techniques to estimate the occurrence, magnitude, and spectrum of solar flux events over the duration of a mission. An inverse square correction is applied to interplanetary missions.

LSSC converts five types of spectra to spectra differential in energy. Spectra integral in energy are fitted with an approximating function which is differentiated. Spectra integral in rigidity are converted to spectra integral in energy, then treated as described above. Spectra differential in rigidity are converted by transforming from rigidity to energy units. Power law spectra, integral in energy, are differentiated directly.

The DIP code is a subroutine designed to facilitate the preparation of data for acquisition by a
calling program (DOSE, GEOM, GEOTST). The routine accepts format free input data and places
it in assigned storage locations.

**6. RESTRICTIONS OR LIMITATIONS**

The codes have fixed dimensions.

**7. TYPICAL RUNNING TIME**

Each sample case executes in less than two cpu minutes.

**8. COMPUTER HARDWARE REQUIREMENTS**

All routines were designed to operate on the IBM 7090 and 7094. (The FLARE code was also
designed to operate on the IBM 360/50.) The (B) version of the code was developed on the Univac
1108 and tested by RSIC on the IBM 7090.

**9. COMPUTER SOFTWARE REQUIREMENTS**

The (A) version of this package requires a standard monitor system with a MAP assembler and
a FORTRAN II compiler with the exception of the FLARE code which requires the FORTRAN IV
compiler. The arithmetic subroutines furnished with this package should be used. The (B) version
includes GEOTST, GEOM and DOSE written in FORTRAN IV.

**10. REFERENCES**

**a. Included in documentation:**

C. W. Hill, W. B. Ritchie, and K. M. Simpson, Jr., "Data Compilation and Evaluation of Space Shielding Problems, Volume IV, LSVDC4 Program System, "ER-7777 (February 1967).

**b. Background information:**

C. W. Hill, W. B. Ritchie, and K. M. Simpson, "Data Compilation and Evaluation of Space Shielding Problems, Volume II, Dose Calculations in Space Vehicles," ER-7777 (August 1965).

C. W. Hill, W. B. Ritchie, and K. M. Simpson, Jr., "Data Compilation and Evaluation of Space Shielding Problems, Volume III, Radiation Hazards in Space," ER-7777 (April 1966).

C. W. Hill, C. C. Douglass, Jr., W. B. Ritchie, and K. M. Simpson, Jr., "Computer Programs
for Shielding Problems in Manned Space Vehicles," ER-6643 (January 1964).

**11. CONTENTS OF CODE PACKAGE**

Included is the referenced document in (10.a) and one (1.2MB) DOS diskette on which is
written all the source codes and input and output for sample problems.

**12. DATE OF ABSTRACT**

July 1967; updated July 1981, February 1985, May 1988.

**KEYWORDS: ** PROTON; ALPHA PARTICLES; ELECTRON; ENVIRONMENTAL DOSE;
SPACE RADIATION