Beta Plane Approximation


f = 2 · Omega · sin(phi) approx f0 + f' · phi
beta = f' = (2 · Omega · cos(phi))/R(phi) = beta0 · (Req/R(phi)) · cos(phi),   beta0 ident 2 Omega/Req

Omega
rad/s
f(45)
s-1
f(60)
s-1
f/fearthbeta0
(cm*s)-1
Venus-2.9921e-07-4.2314e-07-5.1835e-07-0.004103-9.889e-16
Earth7.2925e-051.0313e-041.2631e-041.0000002.287e-13
Mars7.0852e-051.0020e-041.2272e-040.9715834.176e-13
Jupiter1.7585e-042.4869e-043.0458e-042.4114384.920e-14
Saturn1.6378e-042.3163e-042.8368e-042.2459495.435e-14
Uranus-1.0128e-04-1.4323e-04-1.7542e-04-1.388781-7.925e-14
Neptune1.0834e-041.5321e-041.8765e-041.4856208.730e-14
Titan4.5608e-066.4500e-067.8995e-060.0625413.542e-14