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Nonlinear Dynamics Calculator

Nonlinear Dynamics Calculator

    Nonlinear Dynamics Calculator Select Nonlinear System Duffing OscillatorVan der Pol OscillatorLorenz Attractor Damping δ Linear Stiffness α Cubic Stiffness β Driving Amplitude γ Driving Frequency ω Nonlinearity μ Prandtl Number σ Rayleigh Number ρ Geometric Factor β Analyze Nonlinear Dynamics About the Nonlinear Dynamics Calculator The Nonlinear Dynamics Calculator is a cutting-edge scientific […]

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Coupled Oscillator Calculator

Coupled Oscillator Calculator

    Coupled Oscillator Calculator Mass 1 (m₁, kg) Mass 2 (m₂, kg) Outer Spring Constant (k, N/m) Coupling Spring Constant (κ, N/m) Calculate Normal Modes About the Coupled Oscillator Calculator The Coupled Oscillator Calculator is a precision physics tool that instantly computes the two normal-mode frequencies, mode shapes, and beat period for two masses

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Forced Oscillation Calculator

Forced Oscillation Calculator

    Forced Oscillation Calculator Mass (m, kg) Spring Constant (k, N/m) Damping Coefficient (c, kg/s) Driving Force Amplitude (F₀, N) Driving Frequency (ω_d, rad/s) Calculate Forced Oscillation About the Forced Oscillation Calculator The Forced Oscillation Calculator is a scientifically precise, instant tool that computes every steady-state parameter of a driven damped harmonic oscillator: amplitude,

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Quality Factor Calculator

Quality Factor Calculator

    Quality Factor Calculator Choose Input Method Frequency & BandwidthEnergy Stored & Power LossRLC Circuit Values Resonant Frequency (f₀, Hz) Bandwidth (Δf, Hz) Peak Energy Stored (J) Average Power Dissipated (W) Inductance (L, H) Resistance (R, Ω) Capacitance (C, F) Calculate Quality Factor (Q) About the Quality Factor Calculator The Quality Factor Calculator is

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Damping Ratio Calculator

Damping Ratio Calculator

    Damping Ratio Calculator Choose Input Method Damping Coefficient & Natural FrequencyLogarithmic DecrementPeak Overshoot (Mp) Damping Coefficient (c, kg/s) Mass (m, kg) Stiffness (k, N/m) Logarithmic Decrement (δ) Percent Overshoot (Mp, %) Calculate Damping Ratio (ζ) About the Damping Ratio Calculator The Damping Ratio Calculator is a precision engineering tool that instantly computes the

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Resonance Width Calculator

Resonance Width Calculator

    Resonance Width Calculator Choose Input Method Q-Factor & FrequencyResonance Lifetime Quality Factor (Q) Resonant Frequency (f₀, Hz) Resonance Lifetime (τ, seconds) Calculate Resonance Width (Γ) About the Resonance Width Calculator The Resonance Width Calculator is a precision scientific tool that instantly computes the full width at half maximum (FWHM, Γ) of any resonance

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Perturbation Theory Calculator

Perturbation Theory Calculator

    Perturbation Theory Calculator Unperturbed Energy E⁽⁰⁾ (eV or a.u.) First-order matrix element ⟨ψ⁽⁰⁾|Ĥ′|ψ⁽⁰⁾⟩ Off-diagonal element ⟨ψ⁽⁰⁾|Ĥ′|ψ⁽¹⁾⟩ (for 2nd order) Unperturbed energy of excited state E₁⁽⁰⁾ Calculate Energy Corrections About the Perturbation Theory Calculator The Perturbation Theory Calculator is a precision tool that instantly computes first- and second-order energy corrections using Rayleigh-Schrödinger perturbation theory—the

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Three-Body Problem Calculator

Three-Body Problem Calculator

    Three-Body Problem Calculator Solution Type: Figure-8 (Periodic)Lagrange Points (L4/L5)Euler CollinearChaotic InitialCustom Setup Time Step (days): Duration (years): Start Simulation Reset Toggle Trails Export Data Time: 0 years Steps: 0 Energy Error: 0% Status: Ready * Uses Euler integration with G = 4π² (AU³/yr²). Trails show 1000 steps. Valid for equal-mass systems. About the

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Orbital Stability Calculator

Orbital Stability Calculator

    Orbital Stability Calculator System Type: Planet around StarMoon around PlanetBinary Star SystemThree-Body Stability Primary Mass (M☉): Secondary Mass (M⊕ or M☉): Semi-Major Axis (AU): Calculate Stability * Uses Hill radius, Roche limit, and chaos criteria from peer-reviewed literature. Valid for circular orbits. About the Orbital Stability Calculator The Orbital Stability Calculator is a

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Gravitational Binding Calculator

Gravitational Binding Calculator

    Gravitational Binding Calculator Total Mass (M⊙): Radius (km): Density Profile: Uniform SpherePolytropic Star (n=3)Terrestrial PlanetNeutron Star Calculate Binding Energy * Uses exact formulas from astrophysics literature. G = 6.67430×10⁻¹¹ m³/kg/s². 1 M⊙ = 1.989×10³⁰ kg. About the Gravitational Binding Calculator The Gravitational Binding Calculator is a scientifically rigorous astrophysical tool that computes the

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