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Identification and analysis of interior and exterior resonant orbits in the Sun–Venus system

Tyler J. Kapolka & Robert A. Bettinger (2025)

Published
Jan 1, 2025
Journal
Icarus · Vol. 425
DOI
10.1016/j.icarus.2024.116328

At a GlanceAI

Catalogs 90 Sun–Venus resonant periodic orbits (with SRP) and maps their stability and bifurcations via monodromy eigenvalues.

SummaryAI

This paper fills a gap in three-body orbit catalogs by systematically identifying resonant periodic orbit families in the Sun–Venus system, a regime relevant to Venus flyby science, heliophysics monitoring, and surveillance-style mission concepts. Using a photogravitational planar CR3BP model, the authors extract fixed points from multiple Poincaré sections to seed periodic-orbit solutions, then continue them across Jacobi constant to build families and compute linear stability from monodromy-matrix eigenvalues. The result is a curated set of 90 resonant periodic orbits (87 with continued families) with stability and bifurcation flags, providing a practical starting library for future Sun–Venus trajectory design and for targeted follow-on work near bifurcation points.

Method SnapshotAI

Periodic resonant orbits are located from Poincaré maps in a solar-radiation-pressure–perturbed planar CR3BP, then continued in Jacobi constant and analyzed via monodromy eigenvalues.

BackgroundAI

Background in restricted three-body dynamics (CR3BP), Poincaré sections/maps, and linear stability of periodic orbits (state transition/monodromy matrices).

Interesting paper to learn about the dynamics of mmr with Venus in the CR3BP model. Advanced, require some background in celestial mechanics.

VC