Abstract

The three Laser Interferometer Space Antenna (LISA) spacecraft are going to be placed in a triangular formation in an Earth-trailing or Earth-leading orbit. They will be launched together on a single rocket and transferred to that science orbit using Solar Electric Propulsion. Since the transfer Δv depends on the chosen science orbit, both transfer and science orbit have been optimised together. For a thrust level of 90 mN, an allocation of 1092 m/s per spacecraft is sufficient for an all-year launch in 2034. For every launch month a dedicated science orbit is designed with a corner angle variation of 60° ± 1.0° and an arm length rate of maximum 10 m/s. Moreover, a detailed navigation analysis of the science orbit insertion and the impact on insertion errors on the constellation stability has been conducted. The analysis shows that Range/Doppler measurements together with a series of correction manoeuvres at the beginning of the science orbit phase can reduce insertion dispersions to a level where corner angle variations remain at about 60° ± 1.1° at 99% C.L. However, the situation can become significantly worse if the self-gravity accelerations acting during the science orbit phase are not sufficiently characterised prior to science orbit insertion.

Highlights

  • The Laser Interferometer Space Antenna (LISA) mission has been selected as the L3 cornerstone mission by the European Space Agency (ESA) in June 2017 [1, 2]

  • The impact of the noise is strong for LISA2 which is the only spacecraft that has an Solar Electric Propulsion (SEP) thrust arc in the considered time period

  • After a review of analytic models for the LISA cartwheel formation, a fully numerical optimisation analysis of both the transfer and science phase has been presented. The interdependency of both mission phases via the cartwheel clocking angle has been taken into account

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Summary

Introduction

The LISA mission has been selected as the L3 cornerstone mission by the European Space Agency (ESA) in June 2017 [1, 2]. Equation 13 is useful as it provides an initial guess for the initial semi-major axis of the cartwheel orbit and can be used in conjunction with the Keplerian model from section 2.2 for defining the target orbit in the transfer optimization.

Results
Conclusion

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