Sum of Reciprocal Focal Distances
For any point $$p$$ on the ellipse:
$$PS_1+PS_2=2a$$
and therefore:
$$\frac{1}{PS_1}+\frac{1}{PS_2}=\frac{2a}{PS_1PS_2}$$
Usage
- Used in problems involving reciprocal focal distances.
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CAT Formulas
Ellipse
Sum of Reciprocal Focal Distances
Sum of Reciprocal Focal Distances
For any point $$p$$ on the ellipse:
$$PS_1+PS_2=2a$$
and therefore:
$$\frac{1}{PS_1}+\frac{1}{PS_2}=\frac{2a}{PS_1PS_2}$$
Usage
- Used in problems involving reciprocal focal distances.
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