Magnetosphere Standoff Distance Calculator
Free Magnetosphere standoff distance Calculator for planetary & earth system science. Enter variables to compute results with formulas and detailed steps.
Reviewed by Daniel Agrici, Founder & Lead Developer
Formula
GHE = Ts - Te; dF = 5.35*ln(CO2/CO2base); dT = ECS*dF/F2x
Where GHE is greenhouse warming, dF is radiative forcing, ECS is equilibrium climate sensitivity, F2x is forcing for CO2 doubling.
Worked Examples
Example 1: Present Earth Greenhouse Effect
Problem:Calculate greenhouse effect for Earth with surface temp 288 K, effective temp 255 K. CO2 at 420 ppm vs 280 ppm.
Solution:Greenhouse warming = 288 - 255 = 33 K\nSurface emission = 5.67e-8 * 288^4 = 390.1 W/m2\nTOA emission = 5.67e-8 * 255^4 = 239.7 W/m2\nCO2 forcing = 5.35 * ln(420/280) = 2.17 W/m2
Result:GHE: 33 K | Trapped: 150.4 W/m2 | CO2 forcing: 2.17 W/m2
Example 2: Doubled CO2 Scenario
Problem:Radiative forcing and warming if CO2 doubles from 280 to 560 ppm with ECS of 3.0 K.
Solution:CO2 forcing = 5.35 * ln(2) = 3.71 W/m2\nExpected warming = 3.0 K\nFeedback param = 3.71 / 3.0 = 1.24 W/m2/K
Result:Forcing: 3.71 W/m2 | Warming: 3.0 K | Feedback: 1.24 W/m2/K
Frequently Asked Questions
How is magnetosphere standoff distance measured?
Greenhouse effect strength can be quantified in several complementary ways. The simplest measure is the temperature difference between the actual surface temperature and the effective radiating temperature which for Earth is approximately 33 K. The energy-based measure calculates the difference between surface emission and top-of-atmosphere outgoing longwave radiation yielding about 150 watts per square meter for Earth. The normalized greenhouse effect is a dimensionless ratio that equals 1 minus the fourth power of the ratio of effective to surface temperature.
References
Reviewed by Daniel Agrici, Founder & Lead Developer ยท Editorial policy