Could this solar system have stable orbits.

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SUMMARY

This discussion analyzes the potential for stable orbits in a solar system with a G2V star, identical in mass, radius, and luminosity to our Sun. The system includes seven planets with varying masses and orbital distances: Planet 1 (0.5 Earth masses at 0.51 au), Planet 2 (1 Earth mass at 0.63 au), Planet 3 (2 Earth masses at 0.78 au), Planet 4 (0.2 Earth masses at 0.85 au), Planet 5 (4 Earth masses at 0.95 au), Planet 6 (0.3 Jupiter masses at 4.2 au), and Planet 7 (0.08 Jupiter masses at 6.5 au). The discussion concludes that the first five planets are too closely spaced to maintain long-term stable orbits, with Planet 4 being particularly vulnerable due to its proximity to more massive neighbors. N-body calculations are essential for a comprehensive assessment of orbital stability.

PREREQUISITES
  • Understanding of G2V star characteristics
  • Knowledge of planetary mass and orbital mechanics
  • Familiarity with N-body simulation techniques
  • Concept of orbital eccentricity
NEXT STEPS
  • Research N-body simulation software for orbital stability analysis
  • Study the effects of orbital eccentricity on planetary systems
  • Explore the dynamics of multi-planet systems around G-type stars
  • Investigate methods for calculating gravitational interactions between celestial bodies
USEFUL FOR

Astronomers, astrophysicists, and students of planetary science interested in the dynamics of planetary systems and orbital stability analysis.

willstaruss22
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The will be a G2v star with the sam mass, radius and luminousity of our sun

Planet 1: 0.5 Earth masses orbiting at 0.51 au
Planet 2: 1 Earth masses orbiting at 0.63 au
planet 3: 2 Earth masses orbiting at 0.78 au
planet 4: 0.2 Earth masses orbiting at 0.85 au
planet 5: 4 Earth masses orbiting at 0.95 au
planet 6: 0.3 Jupiter masses orbiting at 4.2 au
planet 7: 0.08 Jupiter masses orbiting at 6.5
 
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I believe you need to know the orbital eccentricities to reasonably assess orbital stability. At a glance, it appears the first 5 planets are just too close together to retain long term stable orbits. Planet 4 is particularly suspect due to its relatively massive and nearby neighbors. N-body calculations are not simple.
 

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