Astronomia — Bàsic (A1/A2) 3: Planetary Astronomy, Orbital Mechanics & Observational Tools

[Català] Astronomia: Foundations of solar system astronomy, planetary classification, Keplerian orbital dynamics, lunar/solar eclipses, tidal physics, and telescope optics.

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Astronomia — Bàsic (A1/A2) 3: Planetary Astronomy, Orbital Mechanics & Observational Tools (.md)

Flashcards (32)

#Front (Term / Question)Back (Definition / Answer)ExampleMultiple-Choice Options
1What physical mechanism creates ocean tides on Earth?Tides are caused by the differential gravitational attraction exerted across Earth's finite diameter by the Moon (and Sun). Because gravitational force drops with distance (F ∝ 1/r²), the side of Earth facing the Moon experiences a stronger gravitational pull than Earth's center, creating a near-side water bulge. Conversely, Earth's center is pulled toward the Moon more strongly than the far-side water, leaving behind a corresponding far-side water bulge.
2What is astronomical interferometry and how does aperture synthesis achieve immense angular resolution?Aperture synthesis combines electromagnetic wave signals simultaneously collected by an array of separated individual telescopes (using atomic clocks and optical/electronic delay lines). By processing phase interference between antenna pairs (baselines B), the array synthesizes the resolving power of a single gigantic virtual telescope with diameter equal to the maximum baseline separation: θ ≈ λ / B (e.g., the Event Horizon Telescope synthesizing an Earth-sized telescope at millimeter wavelengths).
3What is an Astronomical Unit (AU) and what is its exact defined metric value?An Astronomical Unit is the standardized unit of length historically representing the mean distance from the center of Earth to the center of the Sun. In 2012, the IAU formally defined 1 AU as exactly 149,597,870,700 meters (~1.496 x 10⁸ km or ~8.317 light-minutes).
4Why is the tidal cycle period ~24 hours and 50 minutes (semidiurnal tidal day) rather than exactly 24 hours?While Earth completes one full 360° axial rotation in 24 hours, the Moon is simultaneously moving forward in its orbit around Earth in the same direction. Earth must rotate an extra ~12.2° (which takes approximately 50 minutes) to bring a given meridian back directly beneath the Moon (a lunar day of 24h 50m), resulting in two high tides spaced roughly 12 hours and 25 minutes apart.
5What are Spring Tides and Neap Tides, and what astronomical alignments produce them?• Spring Tides: Highest high tides and lowest low tides (maximum tidal range). Occur twice a month at New Moon and Full Moon when the Sun, Earth, and Moon align in a straight line (syzygy), causing solar and lunar tidal bulges to constructively add. • Neap Tides: Lowest high tides and highest low tides (minimum tidal range). Occur at First and Third Quarter moons when the Sun and Moon pull at right angles (90° quadrature) relative to Earth, partially cancelling each other's tidal bulges.
6What is the Roche limit and what happens to a fluid or solid celestial body that wanders inside it?The Roche limit is the minimum orbital distance from a primary body at which an orbiting satellite held together only by its own self-gravity can orbit without being torn apart by the primary's tidal forces: d ≈ 2.44 · R_primary · (ρ_primary / ρ_satellite)^(1/3). Inside this limit, differential tidal forces exceed the satellite's self-gravitational cohesion, shredding it into fragments that form planetary rings (e.g., Saturn's rings).
7What is the difference between an umbra, a penumbra, and an antumbra in shadow geometry?• Umbra: The darkest, conical central region of a shadow where the light source is completely blocked by the occulting body; total eclipse is observed here. • Penumbra: The lighter outer zone of the shadow where only a portion of the light source is occluded; partial eclipse is observed here. • Antumbra: The region beyond the apex of the umbra where the occulting body appears completely encircled by a bright ring of the light source; annular eclipse is observed here.
8What is the primary difference between a refracting telescope and a reflecting telescope?• Refracting telescope (dioptric): Uses curved glass objective lenses to refract (bend) light to a focal point at the back of the optical tube (Galilean and Keplerian designs). • Reflecting telescope (catoptric): Uses curved primary mirrors (concave parabolic or spherical) to reflect light to a focus (Newtonian, Cassegrain, Ritchey-Chrétien designs).
9What is orbital eccentricity (e) and how does it define the geometry of an orbit?Orbital eccentricity is the dimensionless ratio of the distance between the center and focus (c) to the semi-major axis (a): e = c / a. • e = 0: Perfect circle. • 0 < e < 1: Elliptical orbit (bound orbit, e.g., Earth e ≈ 0.0167). • e = 1: Parabolic trajectory (escape orbit, marginally unbound). • e > 1: Hyperbolic trajectory (unbound flyby trajectory).
10Where are the Main Asteroid Belt and the Kuiper Belt located, and what compositions characterize their objects?• Main Asteroid Belt: Located between the orbits of Mars and Jupiter (~2.1 to 3.3 AU); consists of rocky, metallic, and carbonaceous rocky remnants (asteroids like Ceres, Vesta) prevented from coalescing into a planet by Jupiter's gravitational perturbations. • Kuiper Belt: Located beyond Neptune's orbit (~30 to 50 AU); a toroidal disc of icy planetesimals and dwarf planets (Pluto, Makemake, Haumea) rich in frozen volatiles (water, methane, ammonia).
11What is the Oort Cloud and what is its role as a reservoir for comets?The Oort Cloud is a theoretical, gigantic, spherical swarm of billions of icy planetesimals enveloping the solar system from ~2,000 to over 100,000 AU (~1.5 light-years). It represents pristine remnants ejected by gravitational interactions with giant planets during early solar system formation and is the primary reservoir for long-period comets (orbital periods > 200 years).
12What is tidal locking (synchronous rotation) and why does the Moon keep the same face toward Earth?Gravitational tidal bulges raised on the Moon by Earth acted as a frictional brake over billions of years, slowing the Moon's rotation until its rotational period precisely matched its orbital period around Earth (1:1 spin-orbit resonance, ~27.3 days). Consequently, the Moon's near side permanently faces Earth while its far side remains permanently turned away.
13What physical characteristics distinguish the terrestrial planets from the giant (Jovian) planets?• Terrestrial planets (Mercury, Venus, Earth, Mars): Inner solar system; small radii and masses; high average densities (3.9–5.5 g/cm³); solid silicate crusts and metallic cores; few or no moons; zero ring systems. • Jovian planets (Jupiter, Saturn, Uranus, Neptune): Outer solar system; gigantic radii and masses; low average densities (0.7–1.6 g/cm³); thick gaseous/fluid envelopes of H, He, and ices (H2O, CH4, NH3); lack solid surfaces; extensive moon systems; planetary ring systems.
14What are the two primary optical functions of an astronomical telescope: Light Gathering Power vs Resolving Power?• Light Gathering Power: The ability to collect photons from faint, distant targets; scales with the area of the primary aperture (∝ D², where D is aperture diameter; a 10-meter mirror collects 100 times more light than a 1-meter mirror). • Resolving Power: The ability to distinguish fine spatial details and separate closely spaced point sources; scales inversely with aperture diameter (θ ∝ λ / D; larger apertures yield finer angular resolution).
15What distinguishes gas giants from ice giants in planetary composition and interior structure?• Gas giants (Jupiter and Saturn): Composed predominantly of hydrogen and helium gas/fluid (>90% of mass), with metallic liquid hydrogen mantles surrounding small rocky/metallic cores. • Ice giants (Uranus and Neptune): Composed predominantly of heavier volatile 'ices' (water, ammonia, methane in dense supercritical fluid states, ~60–70% of mass) overlying silicate-iron cores, surrounded by thin hydrogen-helium atmospheres.
16What is astronomical 'seeing' and why does atmospheric turbulence limit ground-based optical resolution?Astronomical seeing refers to the blurring, scintillation ('twinkling'), and degradation of astronomical images caused by turbulent mixing of atmospheric air parcels with differing temperatures and refractive indices along the line of sight. Even giant ground-based telescopes are classically limited by seeing to an effective angular resolution of ~0.5 to 1.5 arcseconds, regardless of their mirror diameter.
17What does Rayleigh's criterion state for the theoretical diffraction limit of a telescope aperture?θ_min = 1.22 · (λ / D) • θ_min = Minimum angular separation in radians between two point sources that can just be resolved as distinct. • λ = Wavelength of observing light • D = Diameter of the circular telescope aperture Resolution is reached when the central peak of one Airy disk falls on the first diffraction dark minimum of the other.
18How did Isaac Newton generalize Kepler's Third Law using his Universal Law of Gravitation?P² = (4π² · a³) / [G · (M1 + M2)] where P is orbital period (seconds), a is semi-major axis (meters), G is the gravitational constant, and (M1 + M2) is the sum of the two masses (kilograms). This generalized form allows astronomers to determine the exact masses of stars, binary systems, exoplanets, and black holes by measuring orbital periods and separations.
19What astronomical conditions produce a Solar Eclipse and at what lunar phase must it occur?A solar eclipse occurs when the Moon passes directly between the Earth and the Sun, casting its shadow onto Earth's surface and occluding the solar disk. It can occur ONLY during the New Moon phase when the Moon is in conjunction with the Sun, and only when the Moon is near the intersection points (nodes) of its inclined orbit with Earth's ecliptic plane.
20What does Kepler's Second Law of Planetary Motion (Law of Equal Areas) state, and what fundamental conservation law causes it?A line segment joining a planet and the Sun sweeps out equal areas during equal intervals of time (dA/dt = constant). As a consequence, a planet travels fastest at perihelion (closest approach) and slowest at aphelion (farthest distance). This law is a direct geometric manifestation of Conservation of Angular Momentum (L = r x p = constant) under a central gravitational force.
21What causes an Annular Solar Eclipse ('Ring of Fire') instead of a Total Solar Eclipse?An annular eclipse occurs when the Moon's angular size is smaller than the Sun's angular size as seen from Earth. This happens when the Moon is near apogee (farthest from Earth in its elliptical orbit) and/or Earth is near perihelion (closest to Sun). The lunar umbra terminates in space before reaching Earth's surface, and observers situated in the antumbra see a dazzling ring of the solar photosphere.
22What is Kepler's Third Law (Law of Harmonies) and what is its mathematical formula for planets orbiting the Sun?P² = a³ • P = Orbital period of the planet in Earth years • a = Semi-major axis of the orbit in Astronomical Units (AU) The square of the orbital period is directly proportional to the cube of the semi-major axis, meaning distant planets orbit with much lower angular and orbital velocities.
23Why must gamma-ray, X-ray, ultraviolet, and far-infrared astronomical observatories be placed in space?Earth's atmosphere is completely opaque to gamma rays, X-rays, and far-ultraviolet radiation due to absorption by nitrogen, oxygen, and ozone in the mesosphere and stratosphere. Furthermore, atmospheric water vapor and carbon dioxide absorb vast bands of infrared radiation. Only visible light, near-UV, parts of near-IR, and radio waves pass freely through atmospheric 'windows,' necessitating orbital space telescopes (e.g., Chandra, Hubble, JWST, Fermi).
24What causes the cyclic phases of the Moon as viewed from Earth?Lunar phases are caused by the continuously changing relative geometric positions of the Earth, Moon, and Sun as the Moon orbits Earth once every 29.53 days (synodic month). Exactly one half of the spherical Moon is always illuminated by sunlight; our perspective from Earth observes varying fractions of this illuminated sunlit hemisphere (New, Crescent, Quarter, Gibbous, Full).
25What are the eight recognized planets of our Solar System in order of increasing distance from the Sun?1. Mercury (~0.39 AU) 2. Venus (~0.72 AU) 3. Earth (1.00 AU) 4. Mars (~1.52 AU) 5. Jupiter (~5.20 AU) 6. Saturn (~9.58 AU) 7. Uranus (~19.2 AU) 8. Neptune (~30.1 AU)
26What astronomical conditions produce a Lunar Eclipse and at what lunar phase must it occur?A lunar eclipse occurs when the Earth passes directly between the Sun and the Moon, casting Earth's shadow across the lunar surface. It can occur ONLY during the Full Moon phase when the Moon is at opposition to the Sun and located at or near an orbital node. The Moon turns reddish ('blood moon') due to Rayleigh scattering of sunlight passing through Earth's atmosphere.
27What is chromatic aberration and why are reflecting telescopes completely immune to it?Chromatic aberration is an optical distortion where different wavelengths (colors) of light refract through glass at slightly different angles due to material dispersion (higher index for blue light than red light), causing different colors to focus at different focal distances and creating colorful blurry halos. Reflecting telescopes are completely immune because reflection angles depend strictly on surface geometry, reflecting all wavelengths at the exact same angle.
28What is tidal dissipation and how does it power the intense volcanism of Jupiter's moon Io?Io's eccentric orbit is continuously maintained by orbital resonances with Europa and Ganymede (Laplace resonance 4:2:1). As Io moves closer and farther from Jupiter's massive gravity field, Jupiter exerts fluctuating tidal forces that flex Io's solid rocky mantle up and down by ~100 meters per orbit. This continuous tidal flexing generates immense internal frictional heat, melting Io's interior and powering hundreds of active silicate/sulfur volcanoes.
29What does Kepler's First Law of Planetary Motion (Law of Ellipses) state?The orbit of every planet around the Sun is an ellipse, with the Sun located at one of the two focal points (foci), while the other focus is empty space. The geometric center of the ellipse is distinct from the Sun's position.
30What are the three criteria established by the International Astronomical Union (IAU) in 2006 to define a celestial body as a 'planet'?A celestial body must: 1. Orbit the Sun directly (not be a satellite of another planet). 2. Have sufficient mass for its self-gravity to overcome rigid body forces, assuming hydrostatic equilibrium (a nearly round/spherical shape). 3. Have cleared the neighborhood around its orbit of other comparable planetesimals. (Pluto was reclassified as a dwarf planet because it shares its orbit with other Kuiper Belt objects and failed criterion 3).
31What is Adaptive Optics (AO) and how does it counteract atmospheric seeing in real time?Adaptive optics uses a wavefront sensor to measure atmospheric turbulence distortions hundreds to thousands of times per second (by tracking a bright natural star or laser guide star sodium beacon in the mesosphere). A high-speed computer calculates the inverse phase error and applies corrective voltage signals to piezoelectric actuators behind a thin, deformable mirror, cancelling optical wavefront distortions and restoring near-diffraction-limited resolution.
32Why do solar and lunar eclipses not occur every single month at New and Full Moon?The Moon's orbital plane is tilted by approximately 5.14° relative to Earth's ecliptic orbital plane around the Sun. Most months, the New Moon passes slightly above or below the Sun, and the Full Moon misses Earth's shadow. Eclipses can only occur when the Moon crosses the ecliptic at the intersection points known as orbital nodes during 'eclipse seasons' (~every 173.3 days).