Skip to main content
CalcPro

Vis-Viva Orbital Velocity (Apoapsis & Periapsis) Calculator

Easily calculate and compute vis-viva orbital velocity (apoapsis & periapsis) calculator with accurate equations, live formulas, and expert guidance.

Current position from center of body.

Semi-major axis (a > 0 for ellipse, infinity for parabola, negative for hyperbola).

Earth µ.

Calculated Result
8.6 km/s

Orbital Velocity

Orbital Velocity

8.6 km/s

Orbital Velocity Km Per Sec

8.604

Circular Speed At Radius Km Per Sec

7.546

Local Escape Velocity Km Per Sec

10.672

Specific Orbital Energy Kj Per Kg

-19.9

8.6 — km/s

Calculation Breakdown

  1. Applied FormulaComputes instantaneous orbital speed at any point along an elliptical or hyperbolic trajectory using the fundamental vis-viva conservation of orbital energy equation.v = \sqrt{\mu \left(\frac{2}{r} - \frac{1}{a}\right)}

Vis-Viva Orbital Velocity Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.02.24.36.58.6Orbital Velocity

What Is the Vis-Viva Orbital Velocity (Apoapsis & Periapsis) Calculator?

This tool computes vis-viva orbital velocity (apoapsis & periapsis) calculator with high precision arithmetic.

How Does the Vis-Viva Orbital Velocity (Apoapsis & Periapsis) Calculator Work?

Computes instantaneous orbital speed at any point along an elliptical or hyperbolic trajectory using the fundamental vis-viva conservation of orbital energy equation.

Vis-Viva Orbital Velocity (Apoapsis & Periapsis) Calculator Formula & Variables

The core mathematical equation utilized by this calculator is expressed as:

v=μ(2r−1a)v = \sqrt{\mu \left(\frac{2}{r} - \frac{1}{a}\right)}

Computes instantaneous orbital speed at any point along an elliptical or hyperbolic trajectory using the fundamental vis-viva conservation of orbital energy equation.

How to Use the Vis-Viva Orbital Velocity (Apoapsis & Periapsis) Calculator

  1. Enter your parameters into the designated input fields to calculate the result immediately.

Step-by-Step Example Calculation

Vis-Viva Orbital Velocity (Apoapsis & Periapsis) Calculator Example

Input Values:

currentOrbitalRadiusKm:7000
semiMajorAxisKm:10000
gravitationalParameterMu:398600.4418
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required km/s.

Factors That Affect the Result

  • Measurement tolerances, operational variance, and real-world conditions.

When Should You Use This Calculator?

  • Everyday budgeting, technical homework, professional estimation, and household projects.

Assumptions & Limitations

  • Assumes standard atmospheric or environmental parameters unless specified.

Frequently Asked Questions

Calculation Accuracy & Reference Note

Double-precision IEEE 754 arithmetic with validated empirical constants.

\n

Related Calculators

Explore more tools and calculators in Physics Calculators

Length Converter

Convert length and distance between metric and imperial units including meters, feet, inches, kilometers, miles, and yards with exact SI definitions.

Percentage Calculator

Calculate percentages: what % X is of Y, P% of X, % change, discount price, and percentage points.

Temperature Converter

Convert temperatures between Celsius (°C), Fahrenheit (°F), Kelvin (K), and Rankine (°R) with step-by-step thermodynamic formulas.

Ohm's Law & Electrical Power Calculator

Calculate Voltage (V), Current (I), Resistance (R), and Electrical Power (P) across DC circuits.

Density, Mass & Volume Calculator

Calculate density (ρ = m/V), material mass, or physical volume for solids, liquids, and gases.

Steam Turbine Surface Condenser Cooling Water Duty Calculator

Calculates surface condenser thermal heat rejection (MWth), circulating cooling water pumping volume (m³/h), and steam condensation rate.