TI60: Triangle Numbers

12192018, 04:23 AM
Post: #6




RE: TI60: Triangle Numbers
(12162018 05:33 PM)Dieter Wrote: This is essentially a "proof of concept" on how to do loops on a calculator with an extremely limited function set without tests and goto We could exploit the integration key and do some calculations in a loop as a side effect. This allows to implement a solver using fixed point iteration or Newton's method. However you could specify only up to 99 loops. To solve Kepler's equation: \( M = E  e \sin E \) We would rewrite it as a fixed point equation: \( E = M + e \sin E \) Using the following mapping to the data memories: E: 3 M: 4 e: 5 We could then use this program: Code: RCL 4 We don't really care about the lower and upper limits of the interval so we could just use: 0 STO 1 1 STO 2 The integration would be started with: ∫dx nn R/S The result could then be found in register 3. Using realistic values (e.g. e = 0.0167 for the Earth) this needs only a few iterations. Don't forget to put the calculator into the radian mode. Cheers Thomas 

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Messages In This Thread 
TI60: Triangle Numbers  Eddie W. Shore  12162018, 03:35 AM
RE: TI60: Triangle Numbers  Dieter  12162018, 05:33 PM
RE: TI60: Triangle Numbers  grsbanks  12162018, 07:08 PM
RE: TI60: Triangle Numbers  Thomas Klemm  12162018, 09:56 PM
RE: TI60: Triangle Numbers  ijabbott  12172018, 02:55 PM
RE: TI60: Triangle Numbers  Thomas Klemm  12192018 04:23 AM

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