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Optimal Momentum - Momentum means persistence in performance

Optimal Momentum Investing Presenting research and applications of dual momentum investing as discoveredby its founder Gary Antonacci, author of the book Dual Momentum Investing About Optimal Momentum Gary Antonacci, founder of Optimal Momentum has over 45 years of experience as an investment professional focusing - Optimal Momentum

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Topics: dual momentum, dual momentum investing, dual momentum investing pdf, gary antonacci, global equities momentum, investing momentum, momentum means persistence in performance, optimal momentum

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dualmomentum.net

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Optimal Momentum - Momentum means persistence in performance
Optimal Momentum Investing Presenting research and applications of dual momentum investing as discoveredby its founder Gary Antonacci, author of the book Dual Momentum Investing About Optimal Momentum Gary Antonacci, founder of Optimal Momentum has over 45 years of experience as an investment professional focusing - Optimal Momentum


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. The momentum compaction or momentum compaction factor is a measure for the momentum dependence of the recirculation path length for an object that is bound in cyclic motion (closed orbit). It is used in the calculation of particle paths in circular particle accelerators (like synchrotrons), and for astronomical objects that are bound by gravitation. For a perturbed orbit, the momentum compaction factor is defined as the derivative of normalized path length difference to normalized momentum α p = d L / L d p / p = p L d L d p = 1 L ∮ D x ( s ) ρ ( s ) d s {\displaystyle \alpha _{p}={\frac {\mathrm {d} L/L}{\mathrm {d} p/p}}={\frac {p}{L}}{\frac {\mathrm {d} L}{\mathrm {d} p}}={\frac {1}{L}}\oint {\frac {D_{x}(s)}{\rho (s)}}\mathrm {d} s} . Furthermore, the momentum compaction is closely connected to the so-called slip-factor η {\displaystyle \eta } with the horizontal dispersion D x {\displaystyle D_{x}} and the gyroradius ρ {\displaystyle \rho } α p = 1 γ 2 + η {\displaystyle \alpha _{p}={\frac {1}{\gamma ^{2}}}+\eta } wherein γ {\displaystyle \gamma } is the Lorentz factor.


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