// multi-utility computation suite · offline · instant · precise
┌──────────────────────────┐
│ [c] calcalyst_ │
│ computation suite │
└──────────────────────────┘
// select a module to initialize
/ search↵ open firstesc close
// adsenseEMPTY_LEADER_SLOT728×90
// adsenseMOBILE_ANCHOR_SLOT320×50
// keyboard_shortcuts
/focus search
↑↓navigate module list
Enter
open first result from search
open highlighted
compute when module is open
compute when focused in a field
Escclose module · clear selection
⌫
sci.escape-velocity Calculator
Calculates the minimum launch speed needed to escape a body's gravitational field: v_escape = √(2GM/r). Earth's escape velocity is 11.2 km/s — Mars's is 5.0 km/s; the Moon's 2.4 km/s, which is why the Moon retained no significant atmosphere.
Inputs
M
Total mass of the body. Used with height to calculate BMI and estimate lean mass.
R
Distance from centre to edge of a circle. Radius = diameter / 2.
M Obj
Total mass (kg). Distinct from weight — weight = mass × gravity. Mass is constant; weight varies with location.
Alt
Reference formula or conversion factor shown for context.
Results
escape velocity (km/s)
Reference formula or conversion factor shown for context.
orbital velocity (km/s)
Reference formula or conversion factor shown for context.
orbital period (hrs)
Reference formula or conversion factor shown for context.
kinetic energy for 1kg (MJ)
Energy of motion: KE = ½mv². Scales with the SQUARE of velocity — doubling speed quadruples kinetic energy. This is why crash severity grows so rapidly with speed.
ratio v_esc / v_orb
The proportional relationship between two quantities.
v_esc = √(2GM/R)
Reference formula or conversion factor shown for context.