16 questions linked to/from How to determine the arc length of ellipse?
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### How do I work out the distance of Venus orbit mathematically? [duplicate]

How do I work out the distance Venus travels in one orbit mathematically? I know the parametric equations for its ellipse but I need to work out the total distance travelled in its orbital period.
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### Determining the angle degree of an arc in ellipse?

Is it possible to determine the angle in degree of an arc in ellipse by knowing the arc length, ellipse semi-major and semi-minor axis ? If I have an arc length at the first quarter of an ellipse and ...
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### Approximating the integral $\int_0^{0.1} \sqrt{1-1/2\sin^2(t)} dt$

How would I go about evaluating $I = \int_0^{0.1} \sqrt{1-1/2\sin^2(t)} dt$ to four decimal accuracy?
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### Is it possible to find the distance between two points on the circumference of an ellipse following the outer curve?

I am rather confused on this calculation, and I can't seem to find a solution online. I need to know how to find the distance between two known points on an ellipse's outer edge following the path of ...
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### ellipse uniform perimeter travel?

I'm trying to come up with a way that as I progress linearly from $0$ to $360$ degrees or $0$ to $2\pi$ radians I have the the corresponding position (P) on the perimeter of an ellipse to also travel ...
584 views

### Generate random points on perimeter of ellipse

Sampling only from the uniform distribution $U(0,1)$, I am hoping to use transformations to create random values distributed uniformly around the perimeter of an ellipse. Eventually, I'd like to do ...
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### Construction of new ellipse

Using a pencil, the thread was pulled on the ellipse. Then the pencil started to rotate around the ellipse. How to prove that the new geometric figure which the pencil drew is also an ellipse (with ...
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### Ellipse circumference and 1/2 arc of first quadrant

For an ellipse (centered at 0,0), let a = 5.088 and b = 3.006. I used an equation to determine the circumference of ellipse. The approximation = 25.850. Now, I assume it is safe to say that each ...