Abstract
In this paper, we show that it is possible and, indeed, feasible to use secure multiparty computation (SMC) for calculating the probability of a collision between two satellites. For this purpose, we first describe basic floating point arithmetic operators (addition and multiplication) for multiparty computations. The operators are implemented on the $${\textsc {Sharemind}}$$ SMC engine. We discuss the implementation details, provide methods for evaluating example elementary functions (inverse, square root, exponentiation of $$e$$ , error function). Using these primitives, we implement a satellite conjunction analysis algorithm and give benchmark results for the primitives as well as the conjunction analysis itself.
Highlights
The Earth is orbited by nearly 7,000 spacecraft,1 orbital debris larger than 10 cm are routinely tracked and their number exceeds 21,000.2 It is understandable that countries do not want to reveal orbital information about their more strategic satellites
We show that secure multiparty computation (SMC) can be used as a possible solution for this problem
Collision analysis is performed in collaboration between the tree hosting parties, and the satellite operators can query the results of the analysis
Summary
The Earth is orbited by nearly 7,000 spacecraft, orbital debris larger than 10 cm are routinely tracked and their number exceeds 21,000.2 It is understandable that countries do not want to reveal orbital information about their more strategic satellites. Once the satellite pairs with a sufficiently high collision risk have been found, the satellite operators should exchange more detailed information and determine if a collision is imminent and decide if the trajectory of either object should be modified. This is similar to today’s process, where the Space Data Center performs collision predictions on 300 satellite pairs twice a day [16]. All the algorithms developed are applicable for general SMC platforms in which the necessary technical routines are implemented Using these available resources, we implemented one possible collision probability computation algorithm, and we give the benchmark results for this implementation
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