Estimating the Performance of Patched Multirevolution Solar-Sail Transfers Around Planets

Understanding of what is achievable with solar-sail technology around planetary bodies is in its infancy. The seemingly simple problem of transferring from one circular orbit to another circular orbit with a solar sail around a planet is yet to be fully characterized. This work aims to start filling that gap by analyzing the coplanar patched multirevolution circular-to-circular (PMC2C) transfer. The PMC2C transfer is a continuous sequence of single-revolution circular-to-circular (SC2C) transfers, where each SC2C transfer is optimized for the achieved radius change in one orbital revolution. Then, the radius change and transfer time of a PMC2C transfer is obtained as the aggregation of the individual SC2C increments. To generalize to all initial geometries, hundreds of PMC2C transfers must be computed, which is not feasible in practice. To bypass this problem, the so-called patched method is proposed. The patched method uses a semianalytical approach to estimate the radius change and the transfer time of the PMC2C transfers, effectively removing the need for numerical optimization. Dimensionless in nature, the patched method can be used for any sail design around any planet orbiting a star. With this tool, early mission design is greatly simplified; hundreds of trajectories can be analyzed in a matter of minutes. In addition, the generalized formulation reveals the best and worst orbital geometries and initial epochs to start a PMC2C transfer, improving general knowledge of how to “sail” around planets.