3D Orbit to Simple Harmonic Motion
Tilt the orientation to see the circle collapse into pure SHM. Pause to manually click/drag point P.
0
π/2
π
3π/2
x = A cos(ωt + φ)
0.00 rad
+A
-A
Live Metrics
Angle (θ)
0.00 rad
0.00 π rad
Angular Vel (ω)
1.57 rad/s
ω = 2π / T
1D SHM Position (x):
0.00 m
Formula: x = A cos(ωt + φ)
200 × cos(1.57×0.00 + 0.00)
Advanced Analysis Engine
Active
Velocity (vₓ)
0.00 m/s
vₓ = -Aω sin(ωt + φ)
Acceleration (aₓ)
0.00 m/s²
aₓ = -Aω² cos(ωt + φ)
Parameters
Show X Component
x = A cos(ωt + φ)
Advanced Analysis
Plots velocity and acceleration vectors
Show Angle Overlays
Viewing Tilt
90° (Top-Down)
0° (Edge-on View)
90° (Perfect Circle)
Amplitude (A)
200 m
50 m
250 m
Initial Phase Shift (φ)
0.00 rad
Period (T)
4.0 s
Pause Simulation