Recent content by choppu
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Graduate Three-Body Problem Problem ( Astronomers )
Thank you so much D H, your post is really helpful. However I still don't understand how I can figure out the x and y coordinates... as in the "current" x and y position. Because all there is now is that first order Differential equation. How do I figure out the X and Y coordinates? Is there...- choppu
- Post #16
- Forum: Astronomy and Astrophysics
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Graduate Three-Body Problem Problem ( Astronomers )
So i need to integrate the equations two times?- choppu
- Post #14
- Forum: Astronomy and Astrophysics
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Graduate Three-Body Problem Problem ( Astronomers )
Hi and thanks D H, I was attempting to use a numerical solution on this problem, however I do not see how to begin. How to attempt to solve these two differential equations numerically (by example eulers method) ? All you got is the equation for the accelerations...- choppu
- Post #12
- Forum: Astronomy and Astrophysics
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Graduate Three-Body Problem Problem ( Astronomers )
Ok, thanks for explaining. I still do not understand how I can split up these equations to gain two (six?) first order differential equations. Can anybody point it out to me please?- choppu
- Post #9
- Forum: Astronomy and Astrophysics
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Graduate Numerical Solution for Coupled Differential Equations using Runge-Kutta Method
Ok, I will post the Euler computation excerpt of my code. Maybe somebody will have mercy and tell me how to modify it to transform it to Runge-Kutta: int m1 = 6000; int m2 = 8000; double gamma = 6.67; double r = 15...- choppu
- Post #6
- Forum: Differential Equations
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Graduate Numerical Solution for Coupled Differential Equations using Runge-Kutta Method
We should use the Runge-Kutta of the Second Order... We have been taught that they are an improvement to the Euler-Algorithm and that they use the slope of both sides instead of just one. However I have no clue how to apply this.- choppu
- Post #5
- Forum: Differential Equations
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Graduate Numerical Solution for Coupled Differential Equations using Runge-Kutta Method
I have solved it with the Euler Algorithm. I have really never used/seen the Runge-Kutta before. I wrote a programme . (using the Euler) Shall I send you the programme to proof my work? Will you help me out then? Thank you. choppu- choppu
- Post #3
- Forum: Differential Equations
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Graduate Three-Body Problem Problem ( Astronomers )
Hi guys, I do not quite understand how I can write out F=ma for all three objects in vector form. Can you maybe demonstrate it to me with an example please?- choppu
- Post #7
- Forum: Astronomy and Astrophysics
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Graduate Numerical Solution for Coupled Differential Equations using Runge-Kutta Method
Hi, I have got a coupled Differential equation : \ x_1''\ =\ \frac{F_1}{M_1}\ =\ \gamma\cdot{}\left[-\,\frac{M_S}{|\overrightarrow{x_1}|^3}\cdot{}\overrightarrow{x_2}+\frac{M_2}{|\overrightarrow{x_2-x_1}|^3}\cdot{}(\overrightarrow{x_2-x_1})\right] \ x_2''\ =\ \frac{F_2}{M_2}\ =\...- choppu
- Thread
- Runge kutta
- Replies: 7
- Forum: Differential Equations
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Graduate Three-Body Problem Problem ( Astronomers )
Three-Body Problem Problem ("Astronomers") Hi, I am having quite a few problems with the three-body problem. First of all "my" Three-body problem consists of a static sun (mass 200000 * 1024kg) in the middle of the programme, and two non static planets that revolve around the sun...- choppu
- Thread
- Replies: 16
- Forum: Astronomy and Astrophysics