CALCULATOR
Ellipse Full Latus Rectum from Minor Semiaxis and Axis Gap Calculator
Ellipse Full Latus Rectum from Minor Semiaxis and Axis Gap. Example: Minor semiaxis: 2 m, Axis gap: 1 m gives 2.66666666667 m. Ellipse only, full chord through focus perpendicular to major axis; circle boundary returns diameter2b. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible.
Ellipse only, full chord through focus perpendicular to major axis; circle boundary returns diameter2b. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Insert focus x²=a²-b² in ellipse x²/a²+y²/b²=1; y=±b²/a.
Accepted inputs: Minor semiaxis: 0.001 to 10,000 m; Axis gap: 0 to 10,000 m.
Ellipse Full Latus Rectum from Minor Semiaxis and Axis Gap
How the calculation works
length=2b²/a; a=b+gap
Worked example
With minor semiaxis 2 m, axis gap 1 m, ellipse full latus rectum from minor semiaxis and axis gap is 2.666666667 m.
Assumptions and limits
Ellipse only, full chord through focus perpendicular to major axis; circle boundary returns diameter2b. Only this original stated job is proposed, not full historical source coverage. Input domains and output unit must be visible. Derivation: Insert focus x²=a²-b² in ellipse x²/a²+y²/b²=1; y=±b²/a.