What Is the Escape Velocity & Orbital Speed Calculator?
Escape velocity represents the speed at which kinetic energy equals the negative gravitational potential energy of a central mass.
How Does the Escape Velocity & Orbital Speed Calculator Work?
As a projectile flies outward, gravity continually decelerates it. At escape velocity, its speed approaches zero as distance approaches infinity.
Escape Velocity & Orbital Speed Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Equating kinetic energy to gravitational potential energy reveals that escape velocity is exactly √2 (≈1.414) times circular orbital speed.
How to Use the Escape Velocity & Orbital Speed Calculator
- Enter the mass of the planet or star in kilograms.
- Enter the radius from the gravitational center in meters.
Step-by-Step Example Calculation
Earth Surface Escape Speed
Input Values:
Understanding Your Result
Escape Velocity: Required parabolic speed to reach interstellar space without extra propulsion.
Orbital Speed: Steady speed required to maintain a stable circular orbit at this radius.
Factors That Affect the Result
- Planetary Mass: Denser, more massive bodies have dramatically higher escape velocities.
- Orbital Altitude: Escape velocity decreases as altitude increases (1/√r).
When Should You Use This Calculator?
- Rocket delta-v budget planning, interplanetary trajectory analysis, and planetary science.
Assumptions & Limitations
- Neglects atmospheric drag (which necessitates higher initial launch speeds in real rocketry).
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard two-body Newtonian orbital mechanics formulation.