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What was Isaac Newton known for?
first to formulate and test the law of universal gravitation
law of universal gravitation
every object in the universe attracts every other object
what did newton show
gravity and inertia keep planets in orbit
what is newton known for connecting
falling on apples on earth to the same force that keeps planets moving
what is the gravitational force exerted on other objects by an object directly proportional to
the masses of the objects
what is the gravitational force exerted on other objects by an object INVERSELY proportional to
the square of the distance between the objects centers
when a rock falls off a cliff, what is pulled
the earth toward the object
what has the most gravitational pull in our solar system
the sun
what happens when two objects come closer to each other
more gravitational attraction
what is the universal gravitational constant (g)
value that determines the strength of the gravitational force between any two objects in the universe, based on their masses and the distance between them
what happens since earths mass and radius dont change
the gravitational force you feel on earth's surface is always proportional to your mass
what is gravitational field strength (g)
how much force gravity pulls on each kilogram of mass
ways to think about gravitational field strength (g)
acceleration and force per mass
g on earth
9.8 m/s^2
what is mass
amount of matter in an object, same everywhere in the universe
what is weight
gravitational force acting on an object, changes depending where you are
how to calculate weight
mass x g
what does your weight depend on
gravitational field strength where you are
what percent of gravity do astronauts in the iss experience (compared to earth)
90%
what is johannes kepler known for
discovered three laws that describe planetary motion, laws helped prove that planets orbit the sun
what did astronomers believe before kepler
planets move in perfect circles
what is keplers first law
the law of ellipses, all planets orbit the sun in elliptical paths with the sun at one focus of the ellipse
what is an ellipse
oval where the sum of the distances to the foci from any point on it remains constant
what does focus on an ellipse refer to
two special points on the inside
what is the semi-major axis
half of the longest diameter (distance line)
what is the semi-minor axis
half of the shortest diameter
what is the center of an ellipse
midpoint of the foci
what is eccentricity
measure of how stretched an ellipse is between 0 and 1
what is the focal distance
distance between the center and either focus
where is the sun on an ellipse
one of the foci
what is the foci that isnt the sun
nothing
what is perihelion
point in a planets orbit when its closest to the sun
what is aphelion
point in a planets orbit where its furthest from the sun
what follows an elliptical path
any object orbiting another
how come we only see halley's comet occasionally
has a very high eccentricity, takes 76 years to complete an orbit
what is keplers second law
a line connecting a planet to the sun sweeps out equal areas in equal times
what does sun-induced speed changes keep equal
swept areas
what does higher eccentricity do related to perihelion and aphelion
larger speed difference
what would happen if an orbit equaled 0
planet always orbits at same speed
what is conservation of angular momentum
speed of orbiting is conserved if no external forces
what is angular momentum equal to
mass x speed x distance
why is Halley's Comet only visible for such a short time if its orbit takes 76 years
it's closer to the sun
why does the conservation of angular momentum cause planets to move faster when closer to the sun
to keep the product of mass x speed x distance the same through velocity
why must speed decrease when distance increases and vice versa according to conservation of angular momentum
to always stay the same for an orbiting body (the law)
what is the astronomical unit (au)
measurement of distances in our solar system using the average distance between the earth and the sun
what is one au equivalent to
the average distance from the earth to the sun
what's the point of using au
simplicity, easier to compare distances relative to earth, standard unit in astronomy, scaled to our solar system
what is keplers third law
the square of a planets orbital period is proportional to the cube of its semi-major axis
what is a simple summary of keplers third law
the farther a planet is from the sun the longer it takes to orbit following a mathematical pattern
What is an orbital period
Time in earth years that it takes a planet to make a revolution around the sun
What is earths orbital period
365.25 days (one year)
Why do planets with larger orbital periods have higher aus
Longer paths and slower speeds
What does keplers third law work for
Any object orbiting another
how do we determine if an exoplanet orbiting another star is in the habitable zone
measuring orbital period by observing repeated transits or wobbles
how can we measure the mass of the star
measuring period or distance of any planet
What is t in t^2=a^3
orbital period in earth years
what is a in t^2=a^3
semi-major axis in AU
What happens to gravitational force if you double the distance between two objects
It becomes 1/4 as strong
why does the gravitational force become 1/4 as strong with a doubled distance
you are squaring the change in distance and then inverting it to find the change in force
what does g represent
gravitational field strength
you have a mass of 60 kg on earth, how much would you weigh on the moon? (g= 1.6n/kg)
96N (60x1.6)
What planet has the most circular orbit in our solar system
Venus