Optimizing the Earth-LISA "rendez-vous"
Fabrizio De Marchi, Giuseppe Pucacco, Massimo Bassan

TL;DR
This paper surveys heliocentric LISA orbits and semi-analytically optimizes their parameters to reduce Earth-LISA disturbances, supported by numerical simulations estimating Doppler shifts and breathing effects.
Contribution
It introduces a semi-analytical method for optimizing LISA orbits to minimize Earth-induced disturbances, aiding mission rescoping.
Findings
Optimized orbital parameters reduce Earth-LISA disturbances.
Numerical simulations estimate Doppler shift variations.
Breathing effects depend on trailing angle.
Abstract
We present a general survey of heliocentric LISA orbits, hoping it might help in the exercise of rescoping the mission. We try to semi-analytically optimize the orbital parameters in order to minimize the disturbances coming from the Earth-LISA interaction. In a set of numerical simulations we include nonautonomous perturbations and provide an estimate of Doppler shift and breathing as a function of the trailing angle.
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