Improbability of collisions in Newtonian gravitational systems. II
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- by Donald G. Saari PDF
- Trans. Amer. Math. Soc. 181 (1973), 351-368 Request permission
Abstract:
It is shown that the set of initial conditions leading to collision in the inverse square force law has measure zero. For the inverse $q$ force law the behavior of binary collisions for $1 < q < 3$ and the behavior of any collision for $q = 1$ is developed. This information is used to show that collisions are improbable in the inverse $q$ force law where $q < 17/7$ and that binary collisions are improbable for $q < 3$.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 181 (1973), 351-368
- MSC: Primary 70.28
- DOI: https://doi.org/10.1090/S0002-9947-1973-0321386-0
- MathSciNet review: 0321386