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Orbital Eccentricity, Periapsis & Apoapsis Radius Calculator

Easily calculate and compute orbital eccentricity, periapsis & apoapsis radius calculator with accurate equations, live formulas, and expert guidance.

Lowest orbital height above planet surface.

Highest orbital height above planet surface (GTO apogee = 35786 km).

Reference radius of central body (Earth = 6378.137 km).

Calculated Result
0.73

Eccentricity (e)

Eccentricity (e)

0.73

Eccentricity E

0.7283

Semi Major Axis Km

24396.1

Semi Minor Axis Km

16717.3

Semi Latus Rectum Km

11455.5

0.73

Calculation Breakdown

  1. Applied FormulaCalculates orbital eccentricity (e), semi-major axis, semi-minor axis, and semi-latus rectum from periapsis and apoapsis altitudes.e = \frac{r_a - r_p}{r_a + r_p}, \quad r_p = a(1 - e), \quad r_a = a(1 + e)

Orbital Eccentricity & Apse Metric Output

Interactive visualization based on your current inputs

Calculated Value
0.00.30.50.81.0Eccentricity (e)

What Is the Orbital Eccentricity, Periapsis & Apoapsis Radius Calculator?

This tool computes orbital eccentricity, periapsis & apoapsis radius calculator with high precision arithmetic.

How Does the Orbital Eccentricity, Periapsis & Apoapsis Radius Calculator Work?

Calculates orbital eccentricity (e), semi-major axis, semi-minor axis, and semi-latus rectum from periapsis and apoapsis altitudes.

Orbital Eccentricity, Periapsis & Apoapsis Radius Calculator Formula & Variables

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

e=ra−rpra+rp,rp=a(1−e),ra=a(1+e)e = \frac{r_a - r_p}{r_a + r_p}, \quad r_p = a(1 - e), \quad r_a = a(1 + e)

Calculates orbital eccentricity (e), semi-major axis, semi-minor axis, and semi-latus rectum from periapsis and apoapsis altitudes.

How to Use the Orbital Eccentricity, Periapsis & Apoapsis Radius Calculator

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

Step-by-Step Example Calculation

Orbital Eccentricity, Periapsis & Apoapsis Radius Calculator Example

Input Values:

periapsisAltitudeKm:250.0
apoapsisAltitudeKm:35786.0
primaryBodyRadiusKm:6378.137
Worked Steps: Sample evaluation based on standard reference conditions.

Understanding Your Result

The calculated primary figure indicates the optimal or required Eccentricity (e).

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.

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