On the dynamical derivation of the Titius-Bode law

DOI10.1007/BF01234273zbMath0694.70007OpenAlexW2001405886MaRDI QIDQ3470131

Jon M. Patton

Publication date: 1989

Published in: Celestial Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01234273

zbMATH Keywords

Jupiterergodic hypothesisTitius-Bode lawSaturnUranussatellite systemsLagrange multiplier problemminimum interaction-action configurationnon-gradient optimization algorithmsprinciple of least action interactionRenormalization group techniques

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Celestial mechanics (70F15) Other variational principles in mechanics (70H30)

Related Items (1)

On the dynamical derivation of the Titius-Bode law

Cites Work

• The Secant method for simultaneous nonlinear equations
• On the dynamical derivation of the Titius-Bode law
• `` Direct Search Solution of Numerical and Statistical Problems
• An efficient method for finding the minimum of a function of several variables without calculating derivatives
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