Equations for circular/harmonic and spiral/helical motion in a length and duration manifold 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 vectors or scalars. They are also given in a pdf here. Circular/harmonic motion equations are here.
Parallel Equations of Motion  
RA Gillmann, 20200206  Displacement + Time  Dischronment + Stance  Spatial Angles + Time  Temporal Angles + Stance  
Stance/Distance  Time/Distime  Displacement: s
Time  duration: t 
Dischronment: t
Stance  length: s 
Spatial angle: θ = s/r
Temporal arc: t 
Temporal angle: φ = t/q
Spatial arc: s 

Radius  Period  Spatial radius
r = S/(2π) = qv 
Temporal radius
q = T/(2π) = ru 
Angular velocity
ω = φ/t = κ/u = 2πf = 2π/T = dθ/dt = dt/dφ = v_{⊥}/r = 1/q 
Wavenumber (angular lenticity)
κ = θ/s = ω/v = 2πh = 2π/λ = dθ/ds = ds/dφ = u_{⊥}/q = 1/r 

Velocity  Lenticity  Wavenumber  Cross/Tangential velocity
v_{⊥} = ds/dt = r×ω = r/q = S/T 
Cross/Tangential lenticity
u_{⊥} = dt/ds = q×κ = q/r = T/S 

Acceleration  Retardation  Radial acceleration a_{∥} = v^{2}/r = rω^{2} = v/q = r/q² 
Radial retardation b_{∥} = u^{2}/q = qκ^{2} = u/r = q/r² 
Angular acceleration α = dω/dt = aT/r 
Angular retardation β = dκ/ds = bT/q 

Tangential acceleration a_{⊥} = ω×v = Tdv/dt = rα 
Tangential retardation b_{⊥} = Tdu/ds = qβ 

Wavelength  Period  λ = S = 2πr = 2πvq  T = 2πq = 2πur  λ = S = 2π/κ = 1/h  T = 2π/ω = 1/f  
Revolutions  Repetitions Frequency  Circuncy 
Revolutions
N = θ/(2π) 
Repetitions
Z = φ/(2π) 
Temporal frequency f = ω/(2π) = 1/T 
Spatial frequency (circuncy) h = κ/(2π) = 1/λ 

Displacement  Dischronment  s = s_{0} + vt  t = t_{0} + ux  θ = θ_{0} + ωt  φ = φ_{0} + κs  
First Equation of Motion  v = v_{0} + at  u = u_{0} + bs  ω = ω_{0} + αt  κ = κ_{0} + βs  
Second Equation of Motion  s = s_{0} + v_{0}t + ½at²  t = t_{0} + u_{0}s + ½bs²  θ = θ_{0} + ω_{0}t + ½αt^{2}  φ = φ_{0} + κ_{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})  κ² = κ_{0}² + 2β∙(φ – φ_{0})  
Inertia  Facilia  Mass (linear inertia): m = 1/n  Etherance (linear facilia): n = 1/m  Angular inertia: I = mr^{2}  Angular facilia: J = nq^{2}  
Momentum  Fulmentum  Momentum: p = mv  Fulmentum: q = nu  Angular momentum: L = Iω  Angular fulmentum: Γ = Jκ  
Kinetic Energy and Lethargy  Kinetic energy: E_{K} = ½mv^{2}  Kinetic lethargy: L_{K} = ½nu^{2}  Angular energy E_{A} = ½Iω^{2}  Angular lethargy L_{A} = ½Jκ^{2}  
Newton’s Second Law  Force: F = ma = dp/dt  Release: R = nb = dq/ds  Torque: τ = Iα = s × F  Strophence: σ = Jβ = t × R  
Work  Repose  Linear work: W = F ∙ s  Linear repose: Y = R ∙ t  Angular work: W = τ ∙ θ  Angular repose: Y = σ ∙ φ  
Power  Placidity  Linear power: P = F ∙ v  Linear placidity: Z = R ∙ u  Angular power: P = τ ∙ ω  Angular placidity: Z = σ ∙ κ 