Astronomy7 papers
Dynamics of Near Earth Objects
A curated collection of fundamental papers on the dynamics of Near-Earth Objects.
VC
Valerio Carruba
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AstronomyWorth Reading
advanced
Planar near-Earth asteroids in resonance with the Earth
Yi Qi & Anton de Ruiter (2019)
- Published
- Nov 1, 2019
- Journal
- Icarus · Vol. 333
- DOI
- 10.1016/j.icarus.2019.05.025
At a GlanceAI
Links Earth-resonant NEA stability to a CRTBP “distance-to-collision-curve” metric and tests it against full ephemeris integrations.
SummaryAI
This paper asks how well the simple Sun–Earth circular restricted three-body problem (CRTBP) predicts the real encounter behavior of near-Earth asteroids that sit near Earth mean-motion resonances. The authors derive integrable prograde/retrograde resonance approximations, use them to screen 510 low-inclination candidate Earth-resonant NEAs, and introduce a geometric metric (Δα) measuring how close a resonance trajectory comes to the Earth “collision curve” in CRTBP phase space. Long ephemeris integrations with all nine planets show that Δα is only weakly predictive when resonances are tightly packed near 1 au (“compact” region), but for more isolated (“sparse”) resonances Δα correlates strongly with time between close encounters, and objects with Δα>5° are statistically more likely to avoid encounters longer. The work provides a practical, model-aware way to triage which CRTBP resonance inferences about Earth-encounter protection are likely to survive in a multi-planet Solar System setting.
Method SnapshotAI
Develop an integrable resonance Hamiltonian in the planar CRTBP, screen JPL NEAs by resonance proximity, then validate encounter statistics via N-body ephemeris integrations (MERCURY).
BackgroundAI
Basic celestial mechanics (restricted three-body problem, mean-motion resonances, orbital elements) and familiarity with numerical orbit integration.
Useful to learn about what mmr with Earth may be relevant for NEOs. Quite advanced, not an easy reading.
— VC