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Vol. Science · Astronomy · Interactive map

Solar system
map

A clickable schematic of our neighborhood — Sun through Neptune, with Pluto labeled as a dwarf planet. It opens in 3D (drag to orbit; the flat map is the 2D control). Set a day and local time (defaults to now) and the planets move to approximate positions for that moment. Play walks the date forward; set the speed from one hour per second up to ten years per second. Also see the Moon phases dial, why that same face still shows past the limb (libration — a locked spin, eccentricity 0.0549, and a lunar equator tilted 6.68° to its orbit), why eclipses are rare (the Moon’s orbit is tilted about 5°, so most new and full Moons miss), why most shores on a smooth-Earth cartoon see about two high tides a day (spring when the Sun lines up, neap at the quarters), and why the year has seasons (axial tilt, not distance), why sunrise and the three twilights fall where they do (twilight — astronomical dawn at −18°, nautical at −12°, civil at −6°, sunrise at the standard −0.833°, from NOAA’s solar calculator), why a star near the horizon is dimmer and lifted (airmass — Kasten and Young, Table II 38.0868 at the horizon, Bennett about 34′), why that axis slowly walks a cone so the pole star changes (precession — about 26,000 years, and the tropical year is shorter than the sidereal year), why the noon Sun traces a figure-8 (analemma — declination and the equation of time), why a sidereal day is shorter than the mean solar day (sidereal — the stars gain about four minutes a night), why new Moon to new Moon outlasts one orbit of the Moon (synodic month — the Moon is back among the stars and the Sun has moved on), why Mars can seem to back up (retrograde — Earth overtaking on a faster inner orbit, not a reversed path), why an outer planet stands opposite the Sun at opposition (Earth between the Sun and Mars — the bright geometry, not a reversed orbit), why a larger orbit takes longer (Kepler — for a circular orbit around the Sun, P² = a³ when P is in years and a is in AU), why a circular orbit is slower than escape by √2 (escape — orbital speed and escape speed at one altitude, Newton’s cannon as a schematic), why the cheap path between two circular orbits is half an ellipse (Hohmann — two impulsive burns, fact-sheet distances, Earth to Mars in 258.88 days), why speed anywhere on one ellipse is vis-viva (v = √[μ (2/r − 1/a)], Earth’s perihelion 30.29 km/s and aphelion 29.29 km/s), why an Earth satellite’s period, speed, ground track, and horizon follow from altitude (satellites — the cited 420 km station circle is 92.97 min, and geostationary is 35,786.05 km), why that ellipse is stretched by eccentricity (r_p = a(1−e) and r_a = a(1+e); Earth’s e is 0.0167, Mercury’s is 0.2056, Halley’s is 0.967, and periapsis is faster), why the same impulsive Δv buys more energy deep in a well (Oberth — Δε = v·Δv + ½(Δv)², and escape from a circle still costs v_c(√2 − 1)), why that Δv costs propellant (rocket equation — Δv = ve · ln(m0/mf), ideal, constant exhaust speed, no gravity losses and no drag), why a flyby can raise or lower heliocentric speed without a burn (gravity assist — an unpowered hyperbola turns v∞ while the planet keeps moving; a classroom Earth pass at 5 km/s and 400 km turns 89.16° and the heliocentric change is 7.019 km/s), why a hyperbolic departure is counted as characteristic energy (C3 — C3 = v∞²; at 400 km, C3 = 0 is a 3.178 km/s burn and a classroom v∞ of 3 km/s is C3 = 9 km²/s², a 3.585 km/s burn), why five points keep a fixed pattern in the rotating frame (Lagrange — L1 through L5, a Hill approximation beside the numerical collinear root, Sun–Earth L2 at 1,501,538 km from Earth), why a moon inside a critical distance cannot hold together (Roche — a fluid limit and a rigid one, Rhea outside, the Moon far outside, Phobos between them), why a secondary carries a sphere of influence (Hill — r_H ≈ a (m/(3M))^(1/3), Earth’s sphere 1,496,565 km with the Moon inside it, Jupiter’s 53,147,220 km, Phobos deep inside Mars’s), why the Moon and the Sun can share a size (angular size — δ = 2·arctan(d / 2D), a mean-perigee Moon is 32.880′ and can cover the Sun, an apogee Moon is 29.458′ and leaves a ring), and what an aperture and an eyepiece decide (telescope optics — focal ratio, magnification, exit pupil, Rayleigh’s 1.22 λ/D, and Dawes’s 116/D), why Venus shows phases (Venus — an orbit inside Earth’s, crescent through gibbous, not a moon), why the other planets do not all do that (planet phases — Mercury’s crescent, Mars’s gibbous disk, Jupiter from Earth and from a spacecraft; a page each for Mercury, ratio 0.387, Mars, ratio 1.524, Jupiter, ratio 5.204, Saturn, ratio 9.573, Uranus, ratio 19.165, and Neptune, ratio 30.178), then continue with the local sky (city or ZIP, default Campbell), a stars types & lives color lesson, stellar magnitude (apparent m, absolute M, and why five magnitudes is a factor of 100), a meteor shower rate (HR = ZHR × sin(h) / r^(6.5 − LM) × (1 − cloud); the IMO row at 30° is 50; not a forecast), an impact scaling (diameter, density, speed, and angle; Collins et al. 2005 transient and final crater diameters; not a hazard assessment), an HR diagram (effective temperature versus luminosity, hot on the left, with a schematic main sequence, giants, and white dwarfs), stellar lifetime (mass, the Eker et al. 2018 mass–luminosity fit, and t ≈ 10 Gyr × M/L), black holes (Schwarzschild radius, photon sphere, and ISCO for a non-spinning hole; the nominal solar mass is 2.953 km), redshift (z = (λobs − λrest)/λrest; at z = 1 the relativistic β is 0.6; Hubble’s law only nearby), nearest stars, the parallax yardstick that turns Earth’s orbital shift into a parsec, the distance ladder (modulus with extinction, Cepheids, Type Ia, and cz/H0), a cosmology calculator (age, lookback time, and the cosmological distances), exoplanets, the transit and radial-velocity numbers (depth, duration, and K), a habitable zone (stellar flux, equilibrium temperature, and the Kopparapu et al. 2014 limits), and a Milky Way starter. Light itself — radio through gamma — has a literacy desk at EM spectrum. The force that schedules this map has its own literacy desk: Gravity. Part of the science desk; also see Earth’s atmosphere.

Educational schematic. The 3D view uses NASA JPL approximate Keplerian elements (eccentricity and inclination) for the eight planets. Pluto uses the same style of fit. Distances can be log-compressed or true to the AU. Planet sizes are exaggerated in both views so the bodies stay visible. Moon gaps, when shown, are stretched. The 2D control keeps the original flat map: circular orbits and approximate mean heliocentric longitudes. Not a JPL Horizons ephemeris. Periods and mean distances follow NASA NSSDCA fact sheets.

Tap a planet · set day & time · drag to pan · scroll to zoom

12:00
36 days/s

Today · now (local)

3D · log-compressed distances · inclinations kept · sizes exaggerated.

Astronomy desk

Luna

Moon

Phase dial — new through full, with South Bay observing notes.

The limbs

Libration

The same face stays toward Earth. An eccentric orbit and a 6.68° tilt let us peek past the limbs. About 59% over time. A classroom globe, not tonight’s Moon.

Shadows

Eclipses

Why a new or full Moon is not an eclipse — the orbit is tilted about 5°.

Bulges

Tides

Two ocean bulges, Earth turning under them. Spring at new and full; neap at the quarters.

Viewpoint

Local sky

City or ZIP orientation chart — defaults to Campbell.

Tilt

Seasons

Axial tilt, not distance — walk a year and see which hemisphere leans into the Sun.

The clock

Twilight

Astronomical, nautical, and civil dawn and dusk, and sunrise at −0.833°. NOAA’s solar calculator. A day band, an altitude curve, and a year of day length.

Horizon

Airmass

Kasten and Young air mass beside sec(z). Extinction is k times airmass. Bennett refraction is about 34′ at the horizon. Not a forecast.

Noon Sun

Analemma

The figure-8 of solar declination and the equation of time. Tilt plus an uneven orbit. A classroom schematic, not a sundial.

The day

Sidereal

One spin against the stars is 23.9345 hours. The mean solar day is 24.0000. The stars rise about four minutes earlier.

The month

Synodic

One orbit of the Moon against the stars is 27.3217 days. New Moon to new Moon is 29.53. The Sun has moved on.

The cone

Precession

The axis walks a slow circle. Polaris now; the tropical year is 365.242 days and the sidereal year is 365.256.

Passing

Retrograde

Earth laps Mars on a faster inner orbit. The backward loop is the line of sight, not a reversed path.

Lineup

Opposition

Earth between the Sun and an outer planet. Brightest geometry on the cartoon, not a reversed orbit.

Phases

Venus

Crescent through gibbous from an orbit inside Earth’s. Inferior and superior conjunction, and the elongation stretches.

Phases

Mercury

Inferior planet. Crescent through gibbous. Fact-sheet orbit ratio 0.387.

Phases

Mars

Superior planet. Gibbous, never a crescent. Fact-sheet ratio 1.524.

Phases

Jupiter

From Earth nearly full (ratio 5.204). A crescent is a spacecraft view.

Phases

Saturn

Ratio 9.573. Gibbous to full. Synodic period 378.09 days.

Phases

Uranus

Ratio 19.165. Gibbous to full. Synodic period 369.66 days.

Phases

Neptune

Ratio 30.178. Gibbous to full. Synodic period 367.49 days.

Phases

Planet phases

Mercury’s crescent, Mars’s gibbous disk, and Jupiter from Earth and from a spacecraft. Lit fractions from the fact-sheet ratios.

Color

Stars

OBAFGKM types and life phases — click the strip, walk the timeline.

Brightness

Magnitude

Apparent m, absolute M, and the distance modulus. Five magnitudes is a factor of 100. The scale runs backwards. At 10 pc, m = M. No extinction.

Showers

Meteors

Observed hourly rate from ZHR, radiant altitude, limiting magnitude, and the population index. IMO Table 5 for seven annual showers. At ZHR 100, magnitude 6.5, and 30°, the rate is 50. Not a forecast.

Craters

Impacts

Mass, kinetic energy in joules and megatons, and Collins et al. 2005 transient and final crater diameters. A Barringer-like case is the opening view. Not a hazard assessment.

Optics

Telescope

Focal ratio, magnification, exit pupil, and true field. Rayleigh’s 1.22 λ/D and Dawes’s 116/D. A classroom 200 mm f/6 at 25 mm is 48×. Not a buying guide.

Color

Blackbody

Planck’s curve, Wien’s peak, and L = 4πR²σT⁴. Hot stars read blue-white. Cool stars read orange-red. The chip is an approximation.

Diagram

HR diagram

Effective temperature versus luminosity. Hot is left. Giants are large and bright. White dwarfs are hot and tiny. A classroom cartoon, not a catalog.

Lifetime

Stellar lifetime

Mass, a piecewise mass–luminosity fit, and t ≈ 10 Gyr × M/L. End states are a rough label. The Planck age is marked. Approximate scaling, not a model.

Horizon

Black holes

Schwarzschild radius, photon sphere, and ISCO. A log mass slider from 1 to 10 billion solar masses. The nominal solar mass is 2.953 km. Real holes spin.

Shift

Redshift

z = (λ_obs − λ_rest)/λ_rest. At z = 1 the relativistic β is 0.6. Hubble’s law is the nearby toy.

Yardstick

Parallax

Earth’s orbit shifts a nearby star against the background. That angle is a distance: one parsec when p is 1″.

Ladder

Distance ladder

Modulus with extinction, parallax error, a Cepheid period–luminosity line, a Type Ia mean peak, and cz/H0 with two cited Hubble constants. Approximate ranges.

Expansion

Cosmology

Turn a redshift into an age, a lookback time, and the cosmological distances. Planck 2018 Table 2 and a SH0ES H0. Angular-diameter distance turns over near z of 1.6.

Neighborhood

Nearest stars

Proxima through Procyon — distances & spectral types.

Other suns

Exoplanets

How we find worlds around other stars — plus famous confirmed examples.

Detection

Transit and wobble

Depth, transit probability, duration, and the radial-velocity semi-amplitude. Earth–Sun and Jupiter–Sun are computed. A few real systems are cited.

Insolation

Habitable zone

Stellar flux and equilibrium temperature. The strip is Kopparapu et al. 2014, conservative and optimistic. A point in the strip is not a verdict.

Milky Way

Galaxy start

Spiral arms overview and Sol in the Orion Arm.

Earth systems

Atmosphere

Interactive layers above the same sky.

Night

Light pollution

Skyglow, glare, trespass — and the Salesforce Tower crown essay.

Skyline

Day for Night

Jim Campbell’s Salesforce Tower art, metro glow, South Bay unease.

Light

EM spectrum

Radio to gamma — tap a band, slide Wien’s peak. The light this map is drawn in.

The year

Kepler

For a circular orbit around the Sun, P² = a³ when P is in years and a is in AU. Drag the distance. The fact-sheet year sits beside the law.

The speed

Escape

Circular orbit and escape at one altitude. √2 apart. Fact-sheet GM and volumetric radius. Earth’s surface escape is 11.186 km/s. A cannon diagram, not a launch.

The coast

Hohmann

The minimum-energy half-ellipse between two circular orbits. Earth to Mars is 258.88 days and 5.594 km/s. Fact-sheet radii and the Sun’s GM. Not a mission.

The ellipse

Vis-viva

Speed anywhere on a Keplerian ellipse. v = √[μ (2/r − 1/a)]. Earth’s perihelion rounds to 30.29 km/s and aphelion to 29.29 km/s. Not an ephemeris.

The altitude

Satellites

A circular Earth orbit from altitude. The cited 420 km station circle is 92.97 min. Geostationary is 35,786.05 km, one sidereal day. Horizon, ground track, and light time. Not a mission.

The shape

Eccentricity

How e sets periapsis and apoapsis. r_p = a(1−e), r_a = a(1+e). Earth’s e is 0.0167. Mercury’s is 0.2056. Halley’s is 0.967. Faster at periapsis. Not an ephemeris.

The burn

Oberth

The same impulsive Δv buys more orbital energy where the craft is already fast. Δε = v·Δv + ½(Δv)². From 400 km, Δv to escape is 3.178 km/s. Not a mission.

The propellant

Rocket

Δv = ve · ln(m0/mf). At 3.178 km/s and a classroom 450 s, 0.4867 of the initial mass remains. Ideal rocket, no gravity losses, no drag. Not a mission.

The flyby

Gravity assist

An unpowered hyperbola turns v∞. The planet keeps moving. A classroom Earth pass at 5 km/s and 400 km turns 89.16°. Heliocentric speed goes from 26.515 km/s to 33.484 km/s. Not a mission.

The departure

C3

Characteristic energy of a hyperbolic departure, C3 = v∞². At 400 km, C3 = 0 is a 3.178 km/s burn. A classroom v∞ of 3 km/s is C3 = 9 km²/s² and a 3.585 km/s burn. Not a mission.

The five points

Lagrange

L1 through L5 of a two-body system. Sun–Earth L2 is 1,501,538 km from Earth. Earth–Moon L1 is 326,380 km from Earth and 58,020 km from the Moon. Hill approximation beside the numerical root. Not a mission.

The distance

Roche

Fluid limit and rigid limit. Rhea and the Moon sit outside both. Phobos sits between them. Fact-sheet densities and radii. Not an ephemeris.

The sphere

Hill

Where a secondary dominates a test particle. Earth’s sphere is 1,496,565 km and the Moon sits inside it. Phobos is deep inside Mars’s sphere, and still between the Roche limits. Not an ephemeris.

The angle

Angular size

Why the Moon and the Sun look the same size. δ = 2·arctan(d / 2D). A mean-perigee Moon is 32.880′ and can cover the Sun. An apogee Moon leaves a ring. Fact-sheet distances. Not an ephemeris.

The scheduler

Gravity

Weight, Newton, Einstein — why this map moves and the Standard Model can ignore it.

Particles

Standard Model

Quarks, leptons, bosons — the stack under fusion, once gravity is set aside.