ToolHub

Astrophysics Calculator

Perform advanced astrophysical calculations including orbital motion, escape velocity, and black hole radius. Get accurate results with unit conversions, visual charts, and step-by-step explanations.

This calculator uses fundamental laws of gravitation and motion to compute key astrophysical parameters. It supports both scientific (SI) units and astronomical units for real-world space calculations.

Key Formulas

  • T = 2π √(r³ / GM)
  • v = √(GM / r)
  • vₑ = √(2GM / R)
  • Rₛ = 2GM / c²

Use Cases

  • • Students learning orbital mechanics and gravitation
  • • Space science simulations and experiments
  • • Understanding escape velocity of planets
  • • Studying black hole properties and radius

Calculation Modes

  • Orbital Parameters: Calculates period, velocity, and energy
  • Escape Velocity: Computes speed needed to escape gravity
  • Schwarzschild Radius: Determines black hole event horizon

Orbital Parameters Inputs

Visualization

Calculation History