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Ellipse Latus Rectum Calculator — result sheet
Calculate an ellipse’s semi-latus rectum and full latus-rectum length from semi-major axis and eccentricity.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Semi-latus rectum p=a(1−e²); full latus rectum=2p.
For an ellipse, the latus rectum is the chord through a focus perpendicular to the major axis. Its length is controlled by the semi-major axis and eccentricity.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Semi-major axis a — length units; minimum 1.0E-6; maximum 1000000000
- Eccentricity e — minimum 0; maximum 0.999999
Worked example
| Input | Value |
|---|---|
| Semi-major axis a | 10 |
| Eccentricity e | 0.6 |
Semi-latus rectum =6.4; full latus rectum =12.8 units.
Assumptions and limits
- The conic is an ellipse with a positive semi-major axis and 0≤e<1.
- The displayed length units match the entered semi-major axis.
- Focus location, orientation, and a hyperbolic or parabolic continuation are not modeled.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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