What Is the Escape Velocity & Orbital Speed Calculator?
Escape velocity is the minimum speed an unpropelled object needs to break free from the gravitational capture of a massive body without further propulsion.
Circular orbital speed is the tangential velocity required to maintain a stable circular orbit at a specific radial distance.
How Does the Escape Velocity & Orbital Speed Calculator Work?
Total distance from center of mass is computed as r = (radiusKm + altitudeKm) · 1000 meters.
Orbital speed is v_orb = √(GM / r) using G = 6.6743 × 10⁻¹¹ m³/(kg·s²).
Escape velocity is calculated as v_esc = v_orb · √2.
Escape Velocity & Orbital Speed Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Escape velocity equals the square root of 2GM/r, which is exactly √2 times the circular orbital velocity at the same radius.
How to Use the Escape Velocity & Orbital Speed Calculator
- Select a planet or celestial body from presets or configure custom mass and radius.
- Set orbital altitude in kilometers above the planet surface.
- Examine escape velocity, orbital speed, surface gravity, and orbital period.
Step-by-Step Example Calculation
Earth Low Earth Orbit (400 km ISS)
Input Values:
Understanding Your Result
Surface escape velocity from Earth is approximately 11.19 km/s (40,270 km/h).
The orbital speed for Low Earth Orbit (LEO) is approximately 7.67 km/s, giving a 92-minute orbit period.
Factors That Affect the Result
- Celestial Mass: Directly increases gravitational potential and escape velocity.
- Altitude: Increasing altitude reduces both required orbital speed and local escape velocity.
When Should You Use This Calculator?
- Aerospace trajectory engineering and rocket delta-v budgeting.
- Astrophysics coursework and satellite orbital mission planning.
Assumptions & Limitations
- Neglects atmospheric drag and non-spherical gravitational perturbations (J2 effect).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Calculations use universal gravitational constant G = 6.67430 × 10⁻¹¹ m³/(kg·s²).