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24-Ruby IV
Feb 23, 2015 5:05 PM UTC
Question

Case 0: "Dark Star" Steals Planet (перехват спутника)

In this simulation of three gravitating Newtonian particles, a blue "planet" orbits a red "star" until they meet the "dark star." The physics is simple, yet the numerical behavior is extreme. Indeed, Mathcad's numerical integrators have difficulty modeling the motions correctly.

 

 

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6 replies

24-Ruby IV
Feb 23, 2015 5:20 PM UTC

The view point is the black planet

Video Link : 5780

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24-Ruby IV
Feb 23, 2015 5:24 PM UTC

Solution is sensitive to the choosing numerical methods for solving

Same initial condition but the method is not RADAU (see the first video) but Adams/BDF:

Video Link : 5781

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24-Ruby IV
Apr 14, 2015 3:48 PM UTC

Radau and Adams/BDF Methods of the ODE solution on the one plot:

Video Link : 5991

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24-Ruby IV
Apr 14, 2015 4:18 PM UTC

Radau and Adptive Methods of the ODE solution on the one plot:

Video Link : 5992

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24-Ruby IV
Apr 15, 2015 7:19 AM UTC

Mathcad Prime - with units but without animation

I think it is the Adams/BDF method of ODE solution.

2-planets-1-Sat-Prime-Adams-BDF.png

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24-Ruby IV
Apr 15, 2015 9:53 AM UTC

Radau and Fixed Methods of the ODE solution on the one plot:

Video Link : 5993

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