*** I typed this up rather quickly, and, therefore, I
do not solemnly swear that this is a truly
comprehensive list of everything you need to know. But it should at least
be close.*

·
Know and apply Kepler’s three laws

·
Given a diagram of a satellite’s elliptical
orbit, be able to…

o
Compare transit time intervals between pairs of
points in the orbit

o
Draw velocity and gravitational force vectors for
the satellite at various points in its orbit, with lengths proportional to
magnitude

o
Compare speeds at different points in the orbit

·
Understand the factors that determine
gravitational force and g (acceleration due to gravity)

·
Know the difference between orbital radius and
altitude

·
Know that net force acting on an object
undergoing uniform circular motion (even if it’s just moving through one small
arc of a circle) is always equal to mv^{2}/r

·
Solve problems with uniform circles.
Solve for variables (e.g. radius, mass, velocity, normal force, tension…)

o
horizontal circles on Earth (vertical axes)

§
balls on strings or

§
cars driving in circles

§
Centrifuges

o
circles in space

§
objects orbiting planets

§
artificial gravity in rotating space stations

o
vertical circles on Earth (horizontal axes)

§
Objects on the inside of the circle, with a
normal force or tension pushing (or pulling) inward.

§
Objects on the outside of the circle, with a
normal force pushing outward (*only works
if the object is on the top of the circle; otherwise the object falls off*)

·
Know that the sensation of a 1 g comes is
produced by a normal force equal to one’s weight on Earth’s surface.

·
Know that scale’s readings provide the normal
force exerted by the scale’s surface on the object that’s touching the scale.

·
Find the gravitational force between two spheres
that are touching.

·
Use Kepler’s 3^{rd} Law to find the
period or orbital radius of a satellite.

·
Use a data table to find the necessary
information to solve problems relating to satellites and orbits.
This data may not be given in the problem, although the problem should
say something like “use the data table…”

·
Without Kepler’s 3^{rd} Law, find one of
the following:

·
Equations involving objects in circular orbits:

o
Know or derive a formula for g, in terms of G, M,
and r.

o
Know or derive a formula for v, in terms of G, M,
and r.

o
Know or derive a formula for v in terms of T and
r

o
Use the above equations to find: orbital radius,
mass of orbited object, satellite velocity, satellite period of rotation, or g

·
Know which equations (all except Kepler’s 3^{rd}
Law) require specific units. Be able
to convert to those units when necessary.

·
Know Earth’s orbital T and distance from the Sun,
in AU.