Hypergeometric function – Perimeter of an Ellipse and other applications (wp34s)
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01-21-2020, 09:01 PM
Post: #14
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RE: Hypergeometric function – Perimeter of an Ellipse and other applications (wp34s)
(01-18-2020 03:41 PM)Gerson W. Barbosa Wrote: p ≈ π(a + b){h²[h²(-93h² + 224) + 2304] - 4096}/{h²[h²(7h² - 544) + 3328] - 4096} Actually it does fit in 38 steps: Code:
Since this is the only wp34s program which is more or less optimized, I will use it as the basis for the AGM method present by Albert Chan here: Code:
Example: Halley’s comet orbit a = 2667950000 km b = 678281900 km 2667950000 ENTER 678281900 A -> p ≈ 11464318984.10299492347510528221642 km p = 11464318984.10299540114254189105734 km difference: 477.667 µm |
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