Science cluster

Astronomy & Cosmology Calculators

Compute orbits, stellar and black-hole properties, planetary data, and cosmological quantities spanning telescopes, spacecraft, and the early universe.

Top calculators

A short starting set for the most common astronomy & cosmology calculators workflows.

Hubble's Law Distance Calculator for Galaxy Distance Estimates

Estimate galaxy distance from redshift with Hubble's Law using an adjustable Hubble constant and a low-redshift velocity approximation.

Hubble law calculator redshift distance cosmology CMB Mpc

Planetary Age Calculator | Your Age on Mercury, Mars, Jupiter, and More

Convert your Earth age into Mercury, Venus, Mars, Jupiter, and other planetary years using average orbital periods. Includes formulas, examples, assumptions, and an optional orbit-timing mini-game.

planetary age calculator age on Mars age on Jupiter age on other planets orbital period calculator

Boson Star Mass–Radius Scaling Calculator for Boson Mass and Scattering Length

Calculate the implemented boson-star maximum-mass and radius scalings from a boson mass in eV and a repulsive scattering length in fm.

boson star mass radius calculator scalar field dark matter soliton 0 for none boson

Cislunar Communications Blackout Buffer Calculator for Lunar Relay Missions

Estimate recorder size, blackout recovery, and downlink margin for cislunar relay missions that cycle through recurring Moon-blocked contact gaps.

cislunar communications lunar far side data buffer calculator space mission planning 40 min

Gravitino Thermal Abundance Calculator | Reheating-era relic density estimate

Estimate the thermal relic abundance Ω₃⁄₂ h² of gravitinos from their mass and the reheating temperature after inflation.

gravitino relic density calculator thermal production reheating temperature 10¹⁰ GeV BBN

LEO Geomagnetic Storm Drag Acceleration Calculator

Calculate quiet-day and storm-time atmospheric drag acceleration for a low Earth orbit satellite from altitude, mass, effective area, drag coefficient, and a thermospheric density multiplier.

geomagnetic storm satellite drag calculator space weather drag increase thermosphere density multiplier LEO drag acceleration 10+ for severe

Satellite Ground Track Repeat Calculator | Altitude-Based Orbit Resonance Estimator

Estimate a satellite ground track repeat cycle from orbital altitude. See orbital period, orbits per sidereal day, and a small-integer repeat pattern for circular Earth orbits.

satellite ground track repeat calculator orbit repeat cycle orbital period sidereal day remote sensing revisit time

Cosmic Age from Redshift Calculator | Estimate Universe Age at z

Estimate the universe's age at a chosen redshift with a matter-dominated approximation and see how H0 changes the timeline.

cosmic age redshift Hubble constant matter-dominated universe Gyr

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Boltzmann Brain Thermal-Fluctuation Expected Occurrences Calculator

Estimate Boltzmann-brain thermal-fluctuation suppression and expected occurrences from brain mass, background temperature, vacuum volume, and observation time.

Boltzmann brain calculator fluctuation probability cosmology background background temperature

Boson Star Mass–Radius Scaling Calculator for Boson Mass and Scattering Length

Calculate the implemented boson-star maximum-mass and radius scalings from a boson mass in eV and a repulsive scattering length in fm.

boson star mass radius calculator scalar field dark matter soliton 0 for none boson

Chronon Universe Age Calculator: Cosmic Ticks Since the Big Bang

Calculate the hypothetical number of chronons elapsed over the universe's age from an age in years and a chosen discrete time interval in seconds.

chronon calculator discrete time universe age T × s_y age

Cislunar Communications Blackout Buffer Calculator for Lunar Relay Missions

Estimate recorder size, blackout recovery, and downlink margin for cislunar relay missions that cycle through recurring Moon-blocked contact gaps.

cislunar communications lunar far side data buffer calculator space mission planning 40 min

Cosmic Age from Redshift Calculator | Estimate Universe Age at z

Estimate the universe's age at a chosen redshift with a matter-dominated approximation and see how H0 changes the timeline.

cosmic age redshift Hubble constant matter-dominated universe Gyr

De Sitter Horizon Thermodynamics Calculator: Radius, Temperature & Entropy

Calculate de Sitter horizon radius, Gibbons–Hawking temperature, and Bekenstein–Hawking entropy from a constant Hubble parameter in km/s/Mpc.

de Sitter temperature calculator gibbons hawking entropy cosmological constant Bekenstein–Hawking form CODATA

Dyson Swarm Power and Collector Area Calculator

Model a Dyson swarm’s useful power output from stellar luminosity, collector coverage, and conversion efficiency, with required collector area at an orbital radius.

Dyson swarm megastructures solar power Kardashev civilization area

Goldreich–Julian Density Calculator for Pulsar Magnetospheres

Compute Goldreich–Julian number density and polar-cap potential drop for a pulsar or neutron star from spin period, magnetic field, and radius.

goldreich julian charge density pulsar magnetosphere calculator cap charge density pulsar magnetosphere compute density

Gravitino Thermal Abundance Calculator | Reheating-era relic density estimate

Estimate the thermal relic abundance Ω₃⁄₂ h² of gravitinos from their mass and the reheating temperature after inflation.

gravitino relic density calculator thermal production reheating temperature 10¹⁰ GeV BBN

Hindu Lunar Calendar & Tithi Converter | Approximate Gregorian Date to Hindu Date

Convert a Gregorian date into an approximate Hindu lunar month, tithi, paksha, and Vikram Samvat year, with notes on the simplified lunar model and where it differs from a full Panchang.

Hindu calendar calculator tithi converter lunar month Gregorian to Hindu date Vikram Samvat

Hubble's Law Distance Calculator for Galaxy Distance Estimates

Estimate galaxy distance from redshift with Hubble's Law using an adjustable Hubble constant and a low-redshift velocity approximation.

Hubble law calculator redshift distance cosmology CMB Mpc

Interstellar Molecule Formation Calculator for Dust-Grain Chemistry

Estimate interstellar molecule formation rates on dust grains from reactant densities, temperature, activation energy, and a cosmic-ray scaling factor.

interstellar molecule formation calculator astrochemistry reaction rate 8.314 J mol⁻¹ K⁻¹ activation activation energy

Jeans Mass and Jeans Length Calculator | Collapse Threshold for Molecular Gas

Estimate the Jeans length and Jeans mass for a gas cloud from temperature, density, and mean molecular weight to gauge when thermal pressure can no longer resist self-gravity.

jeans mass calculator jeans length gravitational collapse star formation astrophysics calculator

Kessler Syndrome Collision Cascade Risk Index Calculator

Estimate a simplified orbital-debris collision and fragmentation risk index from density, target area, relative velocity, mission duration, and fragmentation factor.

Kessler syndrome calculator orbital debris risk satellite collision probability ESA NASA

LEO Geomagnetic Storm Drag Acceleration Calculator

Calculate quiet-day and storm-time atmospheric drag acceleration for a low Earth orbit satellite from altitude, mass, effective area, drag coefficient, and a thermospheric density multiplier.

geomagnetic storm satellite drag calculator space weather drag increase thermosphere density multiplier LEO drag acceleration 10+ for severe

Planetary Age Calculator | Your Age on Mercury, Mars, Jupiter, and More

Convert your Earth age into Mercury, Venus, Mars, Jupiter, and other planetary years using average orbital periods. Includes formulas, examples, assumptions, and an optional orbit-timing mini-game.

planetary age calculator age on Mars age on Jupiter age on other planets orbital period calculator

Poincaré Recurrence Time Calculator

Estimate the fantastically long time for a finite system to return arbitrarily close to its initial state using entropy and microscopic timescales.

poincare recurrence calculator entropy phase space thermodynamics approximately 1.38×10 10 years

Rotating Space Habitat Gravity, Radius & RPM Calculator

Calculate the radius or RPM a rotating space habitat needs for a target artificial-gravity level, with a modeled rotation discomfort indicator.

space habitat artificial gravity calculator rotating station rpm estimator centrifugal gravity RPM artificial

Satellite Ground Track Repeat Calculator | Altitude-Based Orbit Resonance Estimator

Estimate a satellite ground track repeat cycle from orbital altitude. See orbital period, orbits per sidereal day, and a small-integer repeat pattern for circular Earth orbits.

satellite ground track repeat calculator orbit repeat cycle orbital period sidereal day remote sensing revisit time

Spacecraft Communication Delay Calculator: One-Way and Round Trip

Turn a distance into light-speed signal delay, one way and round trip, from km, miles, AU or light-years, with destination presets from the Moon to Proxima Centauri.

spacecraft communication delay light travel time radio signal time about 167 AU centauri