Heteroclinic connections between periodic orbits and resonance transitions in celestial mechanics.

By Wang Sang Koon, Martin W. Lo, Jerrold E. Marsden, Shane D. Ross. Chaos, 2000

623 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Astronomy and Astrophysics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/3a9b949559c0426355ea427faec81af41cede606

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Josep J. Masdemont
2. J. Nathan Kutz
3. Jerrold E. Marsden
4. Wang Sang Koon
5. Shane D. Ross
6. Martin W. Lo
7. Joshua L. Proctor
8. Bingni W. Brunton

In Astronomy and Astrophysics

1. J. Nathan Kutz
2. Steven L. Brunton
3. Eurika Kaiser
4. Josep J. Masdemont
5. Jerrold E. Marsden
6. Wang Sang Koon
7. Shane D. Ross
8. Martin W. Lo

In Statistical and Nonlinear Physics

1. Steven L. Brunton
2. J. Nathan Kutz
3. Eurika Kaiser
4. Bingni W. Brunton
5. Joshua L. Proctor
6. Maizar Raissi
7. Igor Mezi'c
8. G. Em Karniadakis

Citations in the corpus

• Chaos as an intermittently forced linear system (2016, background): “1, the organization and topology of trajectories in phase space provides a qualitative picture of global dynamics and enables detailed quantitative descriptions of local dynamics near fixed points or periodic orbits [40, 68, 2, 20, 69, 54].”
• Homoclinic orbits near heteroclinic cycles with one equilibrium and one periodic orbit (2005, neutral): “[4,14,22,23,36,37].”
• Invariant Manifolds, the Spatial Three-Body Problem and Space Mission Design (2001, methodology): “INVARIANT MANIFOLD AS SEPARATRIX Studying the linearization of the dynamics near the equilibria is of course an essential ingredient for understanding the more complete nonlinear dynamics.(4,11,12,13)”
• Survey of Highly Non-Keplerian Orbits with Low-Thrust Propulsion (2011, neutral): “[77], Gómez et al.”
• Low Energy Transfer to the Moon (2001, background): “For more details, see Koon et al. (2000).”