Gravitation Formulas

Question 1

Law of Gravitation

Answer 1

F = G (m1m2)/ r^2

Question 2

Superpposition

Answer 2

F1 net = Σ F1n
F1 = integral of dF

Question 3

Gravitational acceleration (ag)

Answer 3

F = mag
ag = GM/r^2

Question 4

Gravitation within a spherical shell

Answer 4

F = [G (mM)/ R^3] r

Question 5

Gravitational Potential Energy (13)

Answer 5

U = - GMm/r

of a system
U = -GM1m2/r12 + -GM1m3/r13 + -GM2m3/r23

Question 6

Escape Speed

Answer 6

v = √2GM/R

Question 7

Law of Periods

Answer 7

T^2 = (4π^2/GM) r^3

Question 8

Energy Planetary Motion

Answer 8

K = GMm/2r
U = - GMm/r

Question 9

Mechanical Energy in Planetary Motion

Answer 9

E = K + U
E = -GMm/2r

Question 10

Elliptical orbit of semimajor a (energy in planetary motion)

Answer 10

E = -GMm/2a