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On the Stability of a Five-body Planetary System Embedded in the β Pictoris Debris Disk

Explore the stability of a five-body system in the β Pictoris debris disk through simulations and statistical analysis. Investigate how planets interact and remain stable over time. Conclusions and future work are discussed based on data from multiple simulations.

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On the Stability of a Five-body Planetary System Embedded in the β Pictoris Debris Disk

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  1. On the Stability of a Five-body Planetary System Embedded in the β Pictoris Debris Disk Jared H. Crossley Mentor: Nader Haghighipour

  2. Talk Outline • Motivating observation • 5-body problem: Stability and Implementation • Two simulations in detail • Statistical analysis of all simulations • Conclusions • Future Work

  3. β Pictoris – a motivating observation Wahhaj et al. (2003) suggest that symmetric disk warps evidence the presence of planets

  4. How might a 5-body system like that proposed by Wahhaj et al. behave? • Five gravitationally interacting bodies • The initial position and velocity of each body is specified • The computer then integrates the motion of these bodies over time The basic 5-body system…

  5. System Stability A system is classified as stable if no planet meets the following criteria: • Collides with central star • Orbital radius > 1000 AU • Orbital eccentricity > 1

  6. Orbital radius Orbital inclination Mass Orbital Phase Eccentricity Planet mass and orbital phase are chosen randomly; mass is constrained to Planet Parameters • Mass • Position • Velocity • For simplicity, assume orbits begin circular Implementing the simulation

  7. Example Simulation 1

  8. Example Simulation 2

  9. Stability Data Total simulations: 20457 Unique Simulations: 14409

  10. Stable system parameter analysis

  11. Conclusions • Simulations have been run for 14000+ unique 5-body systems like that possibly embedded in the β Pictoris disk • 6.8 percent of systems remain stable for 20 Myr (age of β Pictoris) • There do exist systems that remain stable, even for 50 million years

  12. Future work • Extract 6000 duplicate simulations from data set • Further analyze parameters of all stable systems • Run additional simulations • use alternative integration methods • Explore the region of measurement uncertainty

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