Error ellipses These equations are often written explicitly as tang 26 w angle ellipse make to n axis The size of the ellipse such that there is P( 0-1) probability of being inside is p=√-2ln(1-P 03/1802 12.540Lec1203/18/02 12.540 Lec 12 6 Error ellipses • These equations are often written explicitly as: • The size of the ellipse such that there is P (0-1) probability of being inside is λ1 λ2 ⎫⎬ ⎭ = 1 2 σ n 2 + σ e 2 ± σ n 2 + σ e 2 ( )2 − 4 σ n 2 σ e 2 − σ ne 2 ( ) ⎛ ⎝ ⎜ ⎞ ⎠ tan 2φ = 2 σ ne σ n 2 − σ e 2 angle ellipse make to N axis ρ = − 2ln( 1 − P )