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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The Location of Linear Secular Resonances for Semimajor Axes Smaller Than 2 AU
Patrick Michel & Christiane Froeschlé (1997)
- Published
- Jul 1, 1997
- Journal
- Icarus · Vol. 128 · No. 1
- DOI
- 10.1006/icar.1997.5727
At a GlanceAI
Maps where secular and Kozai resonances lie inside 2 AU, showing dense resonance overlap that can strongly drive NEA dynamics.
SummaryAI
This paper provides the first systematic map of linear secular resonance locations for small bodies with semimajor axes <2 AU, where near-Earth asteroids evolve. Using a semi-numerical secular Hamiltonian approach that remains valid at high inclinations and captures Kozai (argument-of-perihelion) libration, it shows that essentially all key perihelion- and node-type secular resonances (inner and outer planet–driven) appear in this region and can overlap. The resulting resonance web implies that NEA orbital evolution cannot be modeled as close-encounter scattering alone: secular resonances can pump eccentricity/inclination, enable transport between dynamical classes, or sometimes protect objects from encounters via Kozai dynamics.
Method SnapshotAI
Compute proper precession frequencies from an averaged secular Hamiltonian (coplanar circular planets) and locate resonances by matching to planetary eigenfrequencies across an (a,i) grid.
BackgroundAI
Celestial mechanics background on secular perturbation theory, precession frequencies, and resonance dynamics (including Kozai-type perihelion libration).
First paper on the location of linear secular resonances for NEAS. Interesting reading, a bit outdated.
— VC