Fitting Selected Random Planetary Systems to Titius – Bode Laws

@inproceedings{Hayes1998FittingSR,
  title={Fitting Selected Random Planetary Systems to Titius – Bode Laws},
  author={Wayne Hayes},
  year={1998}
}
Simple ''solar systems'' are generated with planetary orbital radii r distributed uniformly random in log r between 0.2 and 50 AU, with masses and order identical to our own Solar System. A 1. INTRODUCTION conservative stability criterion is imposed by requiring that adjacent planets are separated by a minimum distance of k The Titius–Bode ''law,'' times the sum of their Hill radii for values of k ranging from 0 to 8. Least-squares fits of these systems to generalized Bode r i ϭ 0.4 ϩ 0.15 ϫ 2… CONTINUE READING

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