gravitational fields - theme D Flashcards
Kepler’s first law of orbital motion
First law: each planet orbits the Sun along an elliptical path. The sun is located at a focus of the elliptical orbit
Kepler’s second law of orbital motion
second law: the imaginary line joining the Sun and a planet sweeps equal areas of space in equal time intervals as the planet follows its orbit
Kepler’s third law of orbital motion
third law: the square of the orbital period of a planet is directly proportional to the cube of the average distance of the planet to the sun = Tˆ2 = rˆ3 (r = distance)
Newton’s universal law of gravitation:
every object in the universe attracts every other object with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.
Newton’s universal law of gravitation equation
F=G(m1m2)/rˆ2
speed along the trajectory:
v= 2πr/T
centripetal force
mvˆ2/r
equation for orbital period:
T= ((4πˆ2rˆ3)/GM)ˆ1/2
gravitational field
any region of space where a mass experiences a gravitational force
gravitational fields act..
at a distance
infinite range
gravitational field strength
gravitational force per unit mass experienced at a point in a gravitational field
g=GM/rˆ2