Gravitation : Planets and Satellites
ICSE · Class 11 · Physics
All formulas from Gravitation : Planets and Satellites in ICSE Class 11 Physics. Key equations, constants, and identities for board exam preparation.
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1. Kepler’s Laws of Planetary Motion
T^2 = K r^3 or T^2 ∝ r^3
K = 2.97 × 10^-19 s^2 m^-3
2. Newton’s Universal Law of Gravitation
F = G m1 m2 / r^2
F12 = -G (m2 m1 / r^2) r̂21
G = 6.67 × 10^-11 N m^2 kg^-2
Dimensional formula of G = [M^-1 L^3 T^-2]
3. Gravity and Acceleration Due to Gravity
g = G Me / Re^2
Me = g Re^2 / G
ρ = 3g / (4π Re G)
4. Variation of g with Altitude, Depth, and Latitude
g' = g / (1 + h/Re)^2
g' = g (1 - h/Re)
g' = g - Re ω^2 cos^2 λ
g' = g - (2gh)/Re
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