Resonance orbits of near-Earth asteroids

Sokolov, L. L.; Bashakov, A. A.; Pit’ev, N. P.

doi:10.1134/s0038094609040066

Cited by 5 publications

(2 citation statements)

References 2 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…It is argued in (El'kin and Sokolov, 1995;Sokolov et al, 2009) that an asteroid collision with a planet is normally preceded by close approaches. In this sense, the features of Apophis' motion are not an exception and may occur with other hazardous asteroids.…”

Section: Introductionmentioning

confidence: 98%

Impact trajectories of the asteroid Apophis in the 21st century

et al. 2012

Self Cite

View full text Add to dashboard Cite

The asteroid Apophis is one of the most hazardous near Earth asteroids. As a result of the scatter ing of Apophis' potential trajectories after its close approach in 2029, and its possible approach in 2036, there are many dangerous trajectories including impact trajectories after 2036. The purpose of this study is to iden tify and investigate these trajectories. We use the Everhart integrator; the DE405, DE423, and EPM2008 eph emerides; and two sets of initial data for Apophis (those collected by NASA in 2006 and by the IAA in 2010). More than 50 possible encounters in this century are presented, including 13 encounters between 2036 and 2050. The minimum geocentric distances obtained using a different ephemeris and initial conditions differ little between themselves. Analogous results in (Yeomans et al., 2009) are consistent with our results.

show abstract

Section: Introductionmentioning

confidence: 98%

Impact trajectories of the asteroid Apophis in the 21st century

et al. 2012

Self Cite

View full text Add to dashboard Cite

show abstract

“…Mean motion resonances (MMRs) occur between two or more objects when their orbital periods are commensurable. MMRs with planets play a fundamental role in dynamics in the Solar System [1][2][3][4][5][6][7][8]. Nesvorný et al [9] provided a good review of resonance research up to the beginning of the 21st century.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Polar Resonances and Their Effects on Kozai–Lidov Mechanism

Gong

2022

Applied Sciences

View full text Add to dashboard Cite

The research on highly inclined mean motion resonances (MMRs), even retrograde resonances, has drawn more attention in recent years. However, the dynamics of polar resonance with inclination i≈90∘ have received much less attention. This paper systematically studies the dynamics of polar resonance and their effects on the Kozai–Lidov mechanism in the circular restricted three-body problem (CRTBP). The maps of dynamics are obtained through the numerical method and semi-analytical method, by mutual authenticating. We investigate the secular dynamics inside polar resonance. The phase-space portraits on the e−ω plane are plotted under exact polar resonance and considering libration amplitude of critical angle σ. Simultaneously, we investigate the evolution of 5000 particles in polar resonance by numerical integrations. We confirm that the e−ω portraits can entirely explain the results of numerical experiments, which demonstrate that the phase-space portraits on the e−ω plane obtained through the semi-analytical method can represent the real Kozai–Lidov dynamics inside polar resonance. The resonant secular dynamical maps can provide meaningful guidance for predicting the long-term evolution of polar resonant particles. As a supplement, in the polar 2/1 case, we analyze the pure secular dynamics outside resonance, and confirm that the effect of polar resonance on secular dynamics is pronounced and cannot be ignored. Our work is a meaningful supplement to the general inclined cases and can help us understand the evolution of asteroids in polar resonance with the planet.

show abstract

Dynamics of retrograde $1/n$ mean motion resonances: the $1/{-2}$, $1/{-3}$ cases

Huang

Gong

2020

Astrophys Space Sci

View full text Add to dashboard Cite

Resonance orbits of near-Earth asteroids

Cited by 5 publications

References 2 publications

Impact trajectories of the asteroid Apophis in the 21st century

Impact trajectories of the asteroid Apophis in the 21st century

Dynamics of Polar Resonances and Their Effects on Kozai–Lidov Mechanism

Dynamics of retrograde $1/n$ mean motion resonances: the $1/{-2}$, $1/{-3}$ cases

Contact Info

Product

Resources

About