Energy Aperture

CALC-095

How many pieces is a solar power satellite built from in orbit

Calculation · Cited by CLM-0886

What this is

This is the project's own arithmetic, published in full so it can be checked rather than taken on trust. It is not a source. Every input it uses is cited to a record, and the conclusion it reaches only carries as far as those inputs do.

Feeds CLM-0886. Answers QST-004. Basis: count of modules assembled in orbit.

Why it was needed. VC11's depth target asks for the governing relationship of in-space assembly. Assembly effort scales with the number of things to be assembled, and that number is set by how an architecture divides its array:

N_modules = P_array / P_module

Inputs. Only architectures that state their OWN division are admitted, and the register holds exactly two.

QuantityValueSourceStated or assumed
CAST MMR-SPS array outputapproximately 2.4 GWCLM-0692, SRC-169 Table IV, image-readSTATED
CAST MMR-SPS solar array modules600CLM-0692, same tableSTATED
CAST assembly sequencemodules launched to LEO, then transferredCLM-0687STATED
CASSIOPeiA on-orbit assemblynone - "the possibility of single payload deployment requiring no on-orbit assembly"CLM-0661STATED as a possibility, not demonstrated

Working. This is an internal consistency check on CAST, not a comparison of two calculations.

2.4e9 W / 600 modules = 4.0 MW per module

Result. 600 against 0, for systems within a factor of two in delivered power. The register holds no intermediate value.

A WITHDRAWN VERSION OF THIS COMPARISON, KEPT HERE BECAUSE THE ERROR IS INSTRUCTIVE. The first draft set CAST's 4.0 MW module against a 50 kW-class module from a Solar Electric Transfer Vehicle and reported a factor of 80 in module power and module count. A SETV IS NOT A SOLAR POWER SATELLITE. Dividing an SPS array output by a transfer vehicle's module class computes how many SETV-class modules would build a CAST-sized array - a quantity nobody proposes and no source states. The two sides were not the same kind of thing, and the arithmetic worked perfectly anyway. ASK WHETHER BOTH SIDES MEAN THE SAME THING BEFORE DIVIDING; THE DIVISION WILL NOT TELL YOU.

Cite this

energyaperture.com/calc/calc-095

CALC-095. The working above, not a source document.