Mathematics – Logic
Scientific paper
Jan 2002
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002iaf..confe.351b&link_type=abstract
IAF abstracts, 34th COSPAR Scientific Assembly, The Second World Space Congress, held 10-19 October, 2002 in Houston, TX, USA.,
Mathematics
Logic
Scientific paper
The Sasakawa International Center for Space Architecture (SICSA) has a long history of projects that involve design of space structures, including habitats for low-Earth orbit (LEO) and planetary applications. Most of these facilities and component systems are planned to comply with size, geometry and mass restrictions imposed by the Space Shuttle Orbiter's payload and lift/landing abort restrictions. These constraints limit launch elements to approximately 15 ft. diameter, 40 ft. long cylindrical dimensions weighing no more than approximately 25 metric tons. It is clear that future success of commercial space programs such as tourism will hinge upon the availability of bigger and more efficient Earth to LEO launch vehicles which can greatly reduce transportation and operational costs. This will enable development and utilization of larger habitat modules and other infrastructure elements which can be deployed with fewer launches and on-orbit assembly procedures. The sizing of these new heavy lift launchers should be scaled to optimize habitat functionality and efficiency, just as the habitat designs must consider optimization of launch vehicle economy. SICSA's planning studies address these vehicle and habitat optimization priorities as parallel and interdependent considerations. The allowable diameter of habitat modules established by launch vehicle capacity dictates functionally acceptable internal configuration options. Analyses of these options relative to practical dimensions for Earth-to-orbit launch vehicle scaling were conducted for two general schemes. The "bologna slice" configuration stacks the floors within a predominately cylindrical or spherical envelope, producing circular areas. The "banana split" approach divides a cylindrical module longitudinally, creating floors that are generally rectangular in shape. The assessments established minimum sizes for reasonable utility and efficiency. The bologna slice option. This configuration is only acceptable for modules with diameters of approximately 45 ft. or more. Smaller dimensions will severely limit maximum sight lines, creating claustrophobic conditions. Equipment racks and other elements typically located around internal parameters will further reduce open areas, and vertical circulation access ways between floor levels will diminish usable space even more. However this scheme can work very well for larger diameter habitats, particularly for surface applications where a relatively wide-based/low height module is to be landed vertically. The banana split option. A longitudinal floor orientation can serve very satisfactorily for modules with diameters of 15 ft. or more. Unlike the bologna slice's circular floors, the rectangular spaces offer considerable versatility to accommodate diverse equipment and functional arrangements. Modules smaller than 15 ft. in diameter (the International Space Station standard) will be incompatible with efficient equipment rack design and layouts due to tight-radius wall curvatures. Beyond the 15 ft. diameters, it is logical to scale the modules at dimensional increments based upon the number of desired floors, allowing approximately 8-9 ft. of height/level. Current SICSA Mars mission planning advocates development of new launchers with payload accommodations for 45 ft. diameter, 200 metric ton cargo elements. This large booster will offer launch economies along with habitat scaling advantages. Launch system design efficiencies are influenced by the amount of functional drag that results as the vehicle passes through the Earth's atmosphere. These drag losses are subject to a "cubed-squared law". As the launchcraft's external dimensions increase, its surface area increases with the square of the dimension, while the volume increases with the cube. Since drag is a function of surface, not volume, increasing the vehicle size will reduce proportional drag losses. For this reason, the huge Saturn V Moon rocket experienced relatively low drag. Module pressure envelope geometries also influence internal layout versatility and functionality. SICSA examined cylindrical and spherical envelope approaches for habitat module application, exploring special advantages and disadvantages each presented. The 45 ft. diameter sphere constrained functional volumes and layouts around the upper level perimeter. A modified scheme was selected which reshaped and expanded the height of that area. SICSA's final plan proposes 45 ft. diameter modules of modified spherical form.
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