CYCLE SYNC

Period alignment visualizer

ASTRONOMICAL PERIODS

Drag to cycle card or click

CUSTOM ORBIT CALCULATOR

Altitude (km)

Orbital Period

1h 32m 0s

CYCLE DEFINITIONS

SYNCHRONIZATION ANALYSIS

Sync Tolerance

Max deviation from exact cycle peak

First Full Sync --

Sync Period (LCM) --

Status --

Approx. Sync (±tol) --

Speed: 1.0x

Elapsed: 0s

Min Alt (km):

Max Alt (km):

Max Repeat (days):

Governing Equations

Period: T = 2π√(a³/μ)
Repeat: N × T = D × 86400s
Altitude: h = a - Rₑ
Sun-Sync: Ω̇ = -3/2 · n · J₂ · (Rₑ/a)² · cos(i)

              Combined:

              h = ∛(μ·D²/(4π²N²)) - Rₑ
            
μ = 398600 km³/s², Rₑ = 6378 km, J₂ = 1.083×10⁻³

How Cycles Synchronize

Exact sync occurs at the LCM of all periods. Tolerance finds when all cycles are within that time of a peak—useful when exact sync takes too long.

Scale: 1 day/div