Keywords
- Angular Momentum
- Stochastic Differential Equation
- Circular Orbit
- Outline Proof
- Stochastic Mechanic
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Albeverio, S., Blanchard, Ph., Hoegh-Krohn, R. (1984): A stochastic model for the orbits of planets and satellites: an interpretation of the Titius-Bode law. Expositiones Mathematicae 1, 365–373.
Albeverio, S., Blanchard, Ph., Hoegh-Krohn, R: Newtonian Diffusions and Planets, with a remark on non-standard Dirichlet forms and Polymers. In "Stochastic Analysis and Applications', Proceedings, Swansea 1983, editors A. Truman and D. Williams, 1–25. Lecture Notes in Maths. 1095, Springer Verlag.
Carlen, E. (1984): Conservative Diffusions. Commun. Math. Phys., 94, 273–296.
Durran, R.M., and Truman, A: Planetesimal Diffusions and Stochastic Mechanics, in preparation.
Gihman, I.I., and Skorohod, A.V. (1972): Stochastic Differential Equations, Ergebnisse der Mathematik. Berlin: Springer Verlag.
Guerra, F., and Morato, L.M. (1983): Quantization of dynamical systems and stochastic control theory. Phys. Rev. D, 1774–1786.
McKean, H.P. (1969): Stochastic Integrals. Probability and Mathematical Statistics Monographs. New York: Academic Press.
Nelson, E. (1967): Dynamical Theories of Brownian Motion. Mathematical Notes. Princeton: Princeton University Press.
Nelson, E. (1985): Quantum Fluctuations. Princeton Series in Physics. Princeton: Princeton University Press.
Nieto, M.M. (1972): The Titius Bode Law of Planetary Distances, its History and Theory. Oxford: Pergamon Press.
Truman, A. (1986): An introduction to the stochastic mechanics of stationary states with applications. In ‘From local times to global geometry, control and physics', editor K.D. Elworthy, 329–344. Pitman Research Notes in Maths. Series 150. Longman Scientific and Technical.
Williams, D. (1979): Diffusions, Markov Processes and Martingales. Volume 1. Foundations; and, jointly with Rogers, L.C.G. (1987) Volume 2. Chichester: John Wiley.
Zheng, W.A. (1985): Tightness results for laws of diffusion processes and applications to stochastic mechanics. Ann. Inst. Henri Poincaré 21, #2, 103–124, and references cited therein.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1988 Springer-Verlag
About this paper
Cite this paper
Durran, R., Truman, A. (1988). Planetesimal diffusions. In: Truman, A., Davies, I.M. (eds) Stochastic Mechanics and Stochastic Processes. Lecture Notes in Mathematics, vol 1325. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0077917
Download citation
DOI: https://doi.org/10.1007/BFb0077917
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-50015-5
Online ISBN: 978-3-540-45887-6
eBook Packages: Springer Book Archive
