WILL Relational Geometry · A. Rize · willrg.com
O_P (test body)
P_pshift (periapsis)
Central body
β² (kinematic)
0.120
e (eccentricity)
0.45
κ²=—
τ_Y²=—
prec/rad=—
horizon at β²=—
—
r_O = (1−e²) / (1 + e·cos(o − ω_shift))
ω_shift = τ_Y² · o / (1−e²)
τ_Y² = 1 − (1−κ²)(1−β²) | κ² = 2β² (closure)
Horizon: τ_Y² / (1−e²) = 1 → β²_h = (3 − √(1+8e²)) / 4