Exam 2: Ch. 3, 5, and 6 Flashcards
Tycho Brahe
- most accurate pre-telescope observations
- his data showed that the positions of the planets deviated from those predicted by Ptolemy’s model
Johannes Kepler
- Brahe’s assistant
- tasked with analyzing the data to find a satisfactory model of the motion of the planets
- Kepler did not have full access to Brahe’s data until after Brahe died, and then he was eventually able to unravel the principles governing the motion of the planets
orbit
- path of an object through space
- can be open or closed
ellipse
all the points for which the sum of the distances between two points is always the same: the two points are the foci (one is a focus)
major axis
the longest diameter of an ellipse
semimajor axis
half of the major exis
eccentricity (e)
- a measurement of its “flatness”
- relationship of the distance between the foci and the length of the major axis
- the two extremes are e = 0, which is a circle; and e = 1, which is just a line
foci
the two points along the diameter of an ellipse
easy way to find a planet’s average distance to its sun?
the length of the semimajor axis
Kepler’s 1st Law
Each planet moves around the Sun in an orbit that is an ellipse with the Sun at one focus of the ellipse
do planets change speed throughout their orbit?
yes, the planet moves faster when it is closer to the Sun and slower when it is farther from the Sun
Kepler’s 2nd Law
The straight line joining a planet and its Sun sweeps out equal areas in space for equal intervals of time
Kepler’s 3rd law
- The square of a planet’s orbital period equals the cube of the semimajor axis of its orbit
- P^2 = A^3
- period of Mars is 1.88 years
- What is Mar’s semi-major axis?
(1.88^2)⅓ = 1.52 AU
- semimajor axis of Saturn is 9.54 AU
- What is Saturn’s period?
(9.54^3)½ = 29.47 years
Newton’s 1st law
- every object will continue to be at rest or move at a constant speed in a straight line unless it is acted on by an outside force
- “law of inertia”
- Without an outside force, the motion of an object doesn’t change
momentum =
mass x velocity
speed =
change in location / time
velocity =
directional speed of an object
Newton’s 2nd law
- the change in motion of an object is proportional to and in the direction of a force acting on it
- F = m x a
acceleration =
changes in velocity
Newton’s 3rd law
- for every action, there is an equal and opposite reaction
- Interactions between objects
- Object 1 exerts force on object 2, the 2 exerts force on 1 in opposite direction
Conservation of momentum
Total momentum of the collection of objects remains the same over time
mass
measurement of the amount of matter in an object
volume
the amount of space an object takes up
density =
mass / volume
Angular momentum
- a measure of rotation of an object around a reference point
- Product of mass, velocity, and distance from a reference point
Newton’s universal law of gravitation
Fg = G x M1 x M2 / R^2
M1M2: masses of two objects
R: distance between their centers
G: gravitational constant, G = 6.67 x 10-11
gravity and distance relationship
follows an inverse square law
what determines acceleration due to gravity
the central object
weight
the gravitational force on an object
perihelion
part of orbit closest to Sun
aphelion
part of orbit farthest from Sun
perigee
the part of a moon/satellite’s orbit that is closest to Earth
apogee
a moon/satellite’s farthest point in its orbit from Earth
satellite
any object that orbits another object
how far off the ecliptic do all the planets orbit the sun
within ~10* of the ecliptic
what are the only planets without moons
mercury and venus
where is the asteroid belt
between mars and jupiter (2.2 - 2.3 AU)
Low earth orbit
Example is ISS
Altitude of 400 km
Orbital speed of 8 km/s
Orbital period of ≈ 90 minutes
what is the escape speed of earth
~11 km/s
how fast do waves move?
speed of light
wavelength(λ)
the distance from crest to crest
frequency(f)
- the number of waves that passes a given point in a given time
- Measured in Hz
period
the time for one wavelength to pass
photon
EM light waves acting like a particle
propogation of light
- waves spread out in all directions from the source
- As the wave gets farther from the source, energy gets spread out more and more
relationship between the intensity of light and distance
- intensity decreases as the distance squared
- inverse square law
EM spectrum
the entire distribution of electromagnetic radiation according to frequency or wavelength
EM spectrum highest to lowest frequency
Gamma rays, x-rays, ultraviolet, visible, infrared, microwaves, radio waves
what waves reach earth’s surface
Only visible light, radio waves, and some UV and IR reach the surface of the earth
absolute zero
defines 0K as the lowest possible temperature
0K =
≈ -273*C
blackbody
an object that absorbs all radiation hitting it; as it heats up, it radiates until it reaches equilibrium