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A vocabulary set covering key terms from the chapter on gravitation and planetary motion, with concise definitions drawn from the lecture notes.
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Copernicus
Polish astronomer who proposed the heliocentric model (Sun-centered universe); published De revolutionibus orbium coelestium and sparked the shift away from geocentrism.
Heliocentric cosmology
Model in which the Sun is at the center and planets orbit it; explains retrograde motion more simply than geocentric models.
Geocentric cosmology
Earth-centered model in which Earth is stationary and celestial bodies orbit it; basis of Ptolemy’s system.
Epicycle
A small circular motion of a planet around its deferent used in the Ptolemaic model to explain apparent retrograde motion.
Deferent
The large circular path around Earth along which an epicycle moves in the geocentric model.
Ptolemy
Ancient Greek astronomer who developed the geocentric model with epicycles and deferents to explain planetary motion.
Retrograde motion
Apparent backward motion of a planet against the background stars, caused by relative positions and motions of Earth and the planet.
Tycho Brahe
Danish noble and astronomer who made precise naked-eye measurements and proposed the Tychonic system; mentor to Kepler.
Tychonic system
Hybrid model: Earth remains stationary; the Sun and Moon orbit Earth, while other planets orbit the Sun.
Kepler’s First Law
Planets travel in ellipses with the Sun at one focus.
Kepler’s Second Law
A line connecting a planet and the Sun sweeps out equal areas in equal intervals of time.
Kepler’s Third Law
The square of a planet’s sidereal period is proportional to the cube of its orbit’s semimajor axis (P^2 ∝ a^3).
Ellipse
A closed curve; in astronomy the orbital path of a planet, with two foci defining its shape.
Focus
One of the two fixed points of an ellipse; the Sun is at a focus in planetary orbits.
Semimajor axis
Half of the major axis of an ellipse; a measures the size of the orbit and average distance from the Sun.
Perihelion
The point in a planet’s orbit nearest the Sun.
Aphelion
The point in a planet’s orbit farthest from the Sun.
Sidereal period
Orbital period measured relative to the distant stars (the true year for a planet).
Synodic period
Time between successive configurations as seen from Earth, measured with respect to the Sun.
Astronomical unit (au)
Average distance between the Earth and the Sun; about 1.5 × 10^8 km.
Light-year (ly)
Distance light travels in one year in vacuum; about 9.46 × 10^12 km (≈63,200 au).
Parallax
Apparent shift in position of a nearby object against distant background when viewed from different locations; used to measure distances.
Barycenter
Center of mass of a system of bodies; the motion of the barycenter is a straight line for an isolated system; closer to the more massive body.
Center of mass
The point where the mass of a system can be considered to be concentrated; dictates motion of the system’s barycenter.
Conic section
One of the curves obtained by intersecting a cone with a plane; includes ellipse, parabola, and hyperbola.
Parabola
A conic section representing a bound or unbound orbit in specific energy conditions; open curve.
Hyperbola
A conic section representing an unbound orbit where bodies escape each other.
Newton’s First Law
Law of Inertia: an object at rest stays at rest and an object in motion stays in motion unless acted on by a net external force.
Newton’s Second Law
Law of Motion: acceleration equals net force divided by mass (F = ma).
Newton’s Third Law
Action-reaction: forces come in equal and opposite pairs.
Newton’s Law of Universal Gravitation
Two masses attract with a force proportional to the product of their masses and inversely proportional to the square of the distance between them (F = G m1 m2 / r^2).
Mass
Quantity of matter in an object; a measure of inertia.
Weight
Gravitational force acting on a mass; weight depends on gravity.
Velocity
Speed with a specified direction; a vector quantity.
Acceleration
Rate of change of velocity with time.
Linear momentum
Momentum associated with straight-line motion: p = mv.
Angular momentum
Momentum of rotating/revolving motion; depends on rotation rate and distribution of mass.
Torque
Rotational effect of a force; tends to change an object's angular momentum.
Conservation of Linear Momentum
Total linear momentum of a closed system remains constant if no external forces act.
Conservation of Angular Momentum
Total angular momentum remains constant if no external torque acts.
Force
Interaction that can cause a change in motion; measured in newtons.
Gravity
Attractive force between masses; governs celestial motions.
Occam’s Razor
Philosophical principle that, among competing explanations, the simplest one is preferable.
Inferior conjunction
Planet lies between Earth and the Sun; typically not visible at night.
Superior conjunction
Planet lies beyond the Sun from Earth’s perspective; not visible at night.
Greatest eastern elongation
Planet is farthest east of the Sun as seen from Earth and is visible after sunset.
Greatest western elongation
Planet is farthest west of the Sun as seen from Earth and is visible before sunrise.
Opposition
Outer planet opposite the Sun in the sky; highest in the sky at midnight.