Equations for circular/harmonic and spiral/helical motion in length and duration space is given in a pdf here. The kinematic equations below have different forms depending on whether the motion is linear or angular (rotational) and whether length and duration are vector (3D) or scalar (1D). They are also given in a pdf here. Circular/harmonic motion equations are here.
Parallel Equations of Motion 

Linear w/3D Space  Linear w/3D Time 
Angular w/3D Space  Angular w/3D Time 

Length/Location  Duration/Chronation  Linear length: s
Linear location: s 
Linear duration: t
Linear chronation: t 
Length space arc: s
Angular length: θ = s/r 
Duration space arc: t
Angular duration: φ = t/q 
Stance  Time 
Spatial radius (stance)
r = S/(2π) = qv 
Temporal radius
q = T/(2π) = ru 
Spatial radius (stance)
r = s/θ = v/ω = 1/ψ 
Temporal radius
q = t/φ = u/ψ = 1/ω 
Velocity  Lenticity  Linear/Tangential velocity
v_{T} = ds/dt = rω = r/q = S/T 
Linear/Tangential lenticity
u_{T} = dt/ds = qψ = q/r = T/S 
Angular velocity
ω = dθ/dt = dt/dφ = v/r = 1/q 
Angular lenticity
ψ = dφ/ds = ds/dθ = u/q = 1/r 
Acceleration  Retardation  Radial acceleration
a_{R} = v^{2}/r = rω^{2} = v/q = r/q² 
Radial retardation
b_{R} = u^{2}/q = qψ^{2} = u/r = q/r² 
Angular acceleration
α = dω/dt = a_{T}/r 
Angular retardation
β = dψ/ds = b_{T}/q 
Tangential acceleration
a_{T} = dv_{T}/dt = rα 
Tangential retardation
b_{T} = du_{T}/ds = qβ 

Circumference  Period  S = 2πr = 2πvq  T = 2πq = 2πur  S = 2π/ψ  T = 2π/ω 
Revolutions  Repetitions
Frequency  Circuncy. 
N = θ/(2π)  Z = φ/(2π)  f = ω/(2π) = 1/T  h = ψ/(2π) = 1/S 
Displacement  Dischronment  s = s_{0} + vt  t = t_{0} + ux  θ = θ_{0} + ωt  φ = φ_{0} + ψs 
First Equation of Motion  v = v_{0} + a_{T}t  u = u_{0} + b_{T}s  ω = ω_{0} + αt  ψ = ψ_{0} + βs 
Second Equation of Motion  s = s_{0} + v_{0}t + ½a_{T}t²  t = t_{0} + u_{0}s + ½b_{T}s²  θ = θ_{0} + ω_{0}t + ½αt^{2}  φ = φ_{0} + ψ_{0}t + ½βs^{2} 
Third Equation of Motion  v² = v_{0}² + 2a ∙ (s – s_{0})  u² = u_{0}² + 2b ∙ (t – t_{0})  ω² = ω_{0}² + 2α ∙ (θ – θ_{0})  ψ² = ψ_{0}² + 2β ∙ (φ – φ_{0}) 
Inertia  Facilia  Mass (linear inertia): m  Vass (linear facilia): n  Rotational inertia: I = mr^{2}  Rotational facilia: J = nt^{2} 
Momentum  Fulmentum  Momentum: p = mv  Fulmentum: q = nu  Angular momentum: L = Iω  Angular fulmentum: Γ = Jψ 
Kinetic Energy and Lethargy  Kinetic energy: KE = ½mv^{2}  Kinetic lethargy: KL = ½nu^{2}  Rotational RE: ½Iω^{2}  Rotational RL: ½Jψ^{2} 
Newton’s Second Law of Motion  Force: F = ma  Rush: Y = nb  Torque: τ = Iα  Strophence: σ = Jβ 
Work  Repose  Linear work: W = F ∙ s  Linear repose: V = Y ∙ t  Rotational work: W = τ ∙ θ  Rotational repose: V = σ ∙ φ 
Power  Alacrity  Linear power: P = F ∙ v  Linear alacrity: Q = Y ∙ u  Rotational power: P = τ ∙ ω  Rotational alacrity: Q = σ ∙ ψ 