Compare the linear velocity, angular velocity, centripetal force and centripetal acceleration of objects on the earth's equator, near earth satellites and geostationary satellites
Object 1 on the earth's equator and geostationary satellite 2
Linear velocity v = 2 π R / T, angular velocity W = 2 π / T, centripetal force F = M4 π ^ 2R / T ^ 2, centripetal acceleration a = 4 π ^ 2R / T ^ 2
The quantities of objects on the earth's equator are smaller than those of geostationary satellites
Near earth satellite 3. Geostationary satellite
GMm/r^2=mv^2/r v=(GM/r)^1/2 GMm/r^2=mω^2*r ω^2=GM/r^3 GMm/r^2=m4π^2r/T^2
T ^ 2 = GM / 4 π ^ 2R ^ 3 centripetal force F = GMM / R ^ 2 centripetal acceleration a = GM / R ^ 2
Conclusion T1 = T2 > T3 V3 > V2 > V1 ω 1 = ω 2F2 > F1 A3 > A2 > A1