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 Length Space  Linear w/3D Duration Space 
Angular w/3D Length Space  Angular w/3D Duration Space 

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 
Radius  Base  Time 
Basal radius
r = S/(2π) = qv 
Temporal radius
q = T/(2π) = ru 
Basal radius
r = s/θ = v/ω = 1/ψ 
Temporal radius
q = t/φ = u/ψ = 1/ω 
Velocity  Legerity  Linear/Tangential velocity
v_{T} = ds/dt = rω = r/q = S/T 
Linear/Tangential legerity
u_{T} = dt/ds = qψ = q/r = T/S 
Angular velocity
ω = dθ/dt = dt/dφ = v/r = 1/q 
Angular legerity
ψ = dφ/ds = ds/dθ = u/q = 1/r 
Acceleration  Expedience  Radial acceleration
a_{R} = v^{2}/r = rω^{2} = v/q = r/q² 
Radial expedience
b_{R} = u^{2}/q = qψ^{2} = u/r = q/r² 
Angular acceleration
α = dω/dt = a_{T}/r 
Angular expedience
β = dψ/ds = b_{T}/q 
Tangential acceleration
a_{T} = dv_{T}/dt = rα 
Tangential expedience
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 Reserve  Kinetic energy: KSE = ½mv^{2}  Kinetic reserve: KTE = ½nu^{2}  Rotational KSE: ½Iω^{2}  Rotational KTE: ½Jψ^{2} 
Newton’s Second Law of Motion  Force: F = ma  Rush: Y = nb  Torque: τ = Iα  Strophence: σ = Jβ 
Work  Surge  Linear work: W = F ∙ s  Linear surge: V = Y ∙ t  Rotational work: W = τ ∙ θ  Rotational surge: 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 