Geometric Analysis of Sun-Assisted Lunar Transfer Trajectories in the Planar Bicircular Four-Body Model

Anastasia Tselousova; Sergey Trofimov; Maksim Shirobokov; Mikhail Ovchinnikov

doi:10.3390/app13084676

journal article Open Access Apr 07, 2023

Geometric Analysis of Sun-Assisted Lunar Transfer Trajectories in the Planar Bicircular Four-Body Model

Anastasia Tselousova

Sergey Trofimov

Maksim Shirobokov

Mikhail Ovchinnikov

Applied Sciences Vol. 13 No. 8 pp. 4676 · MDPI AG

View at Publisher Save 10.3390/app13084676

Abstract

This research presents a geometric analysis of Sun-assisted low-energy lunar transfers and several convenient tools that enable the systematic trajectory design in the framework of the planar bicircular restricted four-body problem. By analogy with the patched conic approximation approach for high-energy transfers, a Sun-assisted low-energy trajectory is divided into three legs. Two interior legs, departing and arriving, are located inside the Earth–Moon region of prevalence and designed in the Earth–Moon circular restricted three-body problem, whereas the exterior leg lies outside the region of prevalence and is calculated in the Earth–Moon–Sun bicircular restricted four-body model. The whole trajectory is obtained by smoothly patching the three legs on the boundary of the region of prevalence. The arrival conditions are met by targeting a specific point in the L2 lunar gateway. The interior legs are easily adjustable to the four-body dynamics. The database of planar lunar transfer trajectories can be used to select an initial guess for the multiple-shooting procedure of designing a three-dimensional Sun-assisted lunar transfer in high-fidelity dynamical models.

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Citations

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References

Details

Published: Apr 07, 2023
Vol/Issue: 13(8)
Pages: 4676
License: View

Authors

A

Anastasia Tselousova

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Miusskaya Square, Moscow 125047, Russia

S

Sergey Trofimov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Miusskaya Square, Moscow 125047, Russia

M

Maksim Shirobokov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Miusskaya Square, Moscow 125047, Russia

M

Mikhail Ovchinnikov

Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 4 Miusskaya Square, Moscow 125047, Russia

Funding

Russian Science Foundation (RSF) Award: 19-11-00256

Cite This Article

Anastasia Tselousova, Sergey Trofimov, Maksim Shirobokov, et al. (2023). Geometric Analysis of Sun-Assisted Lunar Transfer Trajectories in the Planar Bicircular Four-Body Model. Applied Sciences, 13(8), 4676. https://doi.org/10.3390/app13084676

Geometric Analysis of Sun-Assisted Lunar Transfer Trajectories in the Planar Bicircular Four-Body Model

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