doomath Calculator
Planetary Gravity, Orbit & Travel Calculator
Compare surface gravity across the Solar System, calculate your weight on Mars or Jupiter, and model Keplerian orbital velocities.
InputsChange a value to recalculate instantly
ResultUpdates as you type
PHYSICAL SIMULATOR
Celestial Surface Gravity & Freefall Simulator
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FORMULA & STEPSPlanetary Gravity, Orbit & Travel Calculator — Mathematical Derivation & Steps
2 StepsSequential Calculation Breakdown
1
Planetary Surface Gravity & Weight
Effective gravitational force experienced on the surface of Mars.
2
Kepler Third Law Orbital Period
Heliocentric orbital period around the Sun in Earth years.
λ DooMathWork with this calculation
Local · deterministic · optionalQuick mathNatural-language-style shortcuts for deterministic arithmetic.
Calculator guide
How to use the Planetary Gravity, Orbit & Travel Calculator
Compare surface gravity across the Solar System, calculate your weight on Mars or Jupiter, and model Keplerian orbital velocities.
01Set inputsChoose values, units and assumptions.
02Apply the modelW_planet = m × g_planet; v_orb = √(G M_sun ÷ r); T = a^(3/2)
03Read the resultCheck the output against the assumptions before using it.
What this calculator does
Choose any planet or enter your Earth weight and orbital radius. The calculator solves for local gravitational acceleration, orbital period via Kepler’s 3rd Law, and interplanetary travel times.
Formula & method
W_planet = m × g_planet; v_orb = √(G M_sun ÷ r); T = a^(3/2)
Assumptions & notes
- Jupiter surface gravity is 2.53 times Earth gravity.
- Kepler third law relates semi-major axis in Astronomical Units (AU) directly to orbital period in Earth years.
- Light takes approximately 8.3 minutes to travel from the Sun to Earth.