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ValeryOchkov24-Ruby IV
24-Ruby IV
February 23, 2015
Question

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

  • February 23, 2015
  • 6 replies
  • 3224 views

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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(view in My Videos)

6 replies

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
February 23, 2015

The view point is the black planet

Video Link : 5780

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
February 23, 2015

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

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
April 14, 2015

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

Video Link : 5991

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
April 14, 2015

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

Video Link : 5992

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
April 15, 2015

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

V
ValeryOchkov24-Ruby IVAuthor
24-Ruby IV
April 15, 2015

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

Video Link : 5993

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