Quadratic Spline Interpolation: Example: Part 2 of 2

[LugieBaird]

Setting a_1=0 is a good choice here, because the mass of the rocket changes less, on a relative basis, during the first interval. This means that the acceleration would be closest to linear in this segment, justifying the choice of the first segment for setting a=0. I'd wager setting a=0 in the last segment would be a poorer choice.

What about adapting deBoor's "not a knot" criterion here? It could be done by using a_1 - a_2 = 0 as the 15th equation, making the first two segments into one.

[dukedevon1]

@LugieBaird I think the speed of a rocket is nowhere near the speed of light, so in fact the effects of relativity are negligible in this example

[YoZZgAtLiii66]

great, thanks from germany!

[alfredo555]

you really covered a lot of stuff in a very clear way, thanks

[LAnonHubbard]

Astounded how much ground you covered in such a short time but I didn't feel like it was at all rushed. You got quite a lot of information out of the splines! I wish you had more material on splines, but you've given me a great introduction to them, and for that I'm very grateful.

[cookiemonster8inya]

thank you! excellent example!

[tunzawcn]

please let me know, this method can be used for 3-dimension. Thank you!

[xieyingdi]

Very clear introduction! Thank you!