## Search found 75 matches

Sun Jun 13, 2021 12:19 pm
Forum: Gravity Simulator
Topic: Rung Kutta 4 in more than 1 dimension of space
Replies: 2
Views: 408

### Re: Rung Kutta 4 in more than 1 dimension of space

Nevermind, it seems I had the correct formula and the inaccuracies must have been from careless mistakes.
Sat Jun 05, 2021 2:20 am
Forum: Gravity Simulator
Topic: Rung Kutta 4 in more than 1 dimension of space
Replies: 2
Views: 408

### Re: Rung Kutta 4 in more than 1 dimension of space

I tried changing the time step to 0.3 Polynomial.png and found that with the polynomial method the x value doesn't even complete 1 cycle before rushing towards negative infinity Rung Kutta.png However for the Rung Kutta 4 method the amplitude is nearly the same as it was at the beginning implying th...
Sat Jun 05, 2021 1:44 am
Forum: Gravity Simulator
Topic: Rung Kutta 4 in more than 1 dimension of space
Replies: 2
Views: 408

### Rung Kutta 4 in more than 1 dimension of space

I understand that for one dimension of space a Rung Kutta 4 Formula for approximating the equations of motion given some force that depends only on the location of an object is k1xn=vn k2xn=vn+h*k1vn/2 k3xn=vn+h*k2vn/2 k4xn=vn+h*k3vn xn+1=xn+h/6(k1xn+2*k2xn+2*k3xn+k4xn) k1vn=f(xn)=acceleration k2vn=...
Tue Jul 30, 2019 1:26 pm
Forum: Gravity Simulator
Topic: Two Body Problem for different Force Laws
Replies: 0
Views: 13419

### Two Body Problem for different Force Laws

I understand that the two body problem is solvable, for any two bodies using the inverse square law, and it is also solvable for the reciprocal law. I understand that the three body problem is not in general solvable, although there are some special cases of the three body problem that are solvable....
Sat Jun 08, 2019 4:54 pm
Forum: General Chat
Topic: Determining, which electrically charged fluids will sink on an electrically charged sphere?
Replies: 1
Views: 7256

### Determining, which electrically charged fluids will sink on an electrically charged sphere?

There is an electrically charged sphere with a significant electrical charge, and in which the mass and radius are such that the gravitational acceleration from the sphere is negligible. Also any tidal forces on the sphere are negligible and the sphere is in a near inertial if not an inertial refere...
Mon Jan 22, 2018 2:55 am
Forum: General Chat
Topic: Force between a point and an infinite straight line
Replies: 0
Views: 14332

### Force between a point and an infinite straight line

How would I find the force law that describes the force between a point and an infinite straight line g(r), given the force law between two points is f(r)? I have found that simply multiplying f(r) by r only produces the force law g(r) when f(r) is an inverse, or reciprocal law, but if f(r) is somet...
Tue Jan 02, 2018 3:16 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16240

### Re: I made Gravity Simulations in Excel

Log Law Simulation.xlsx
(62.64 KiB) Downloaded 500 times
Log Law Closer Simulation.xlsx
(63.21 KiB) Downloaded 503 times
Inverse Square Law Hyperbole Simulation.xlsx
(30.92 KiB) Downloaded 495 times
Tue Jan 02, 2018 3:12 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16240

### Re: I made Gravity Simulations in Excel

Secant Law Simulation.xlsx
(65.05 KiB) Downloaded 509 times
Exponential Law Simulation.xlsx
(62.62 KiB) Downloaded 491 times
Inverse Exponential Law Simulation.xlsx
(62.25 KiB) Downloaded 522 times
Tue Jan 02, 2018 3:10 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16240

### Re: I made Gravity Simulations in Excel Every Year Log Law Closer Simulation.png (356.91 KiB) Viewed 9162 times
Also these are the excel files I used for these simulations
Sin Law Simulation.xlsx
(63.09 KiB) Downloaded 470 times
Tangent Law Simulation.xlsx
(63.32 KiB) Downloaded 491 times
Tue Jan 02, 2018 3:06 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16240

### Re: I made Gravity Simulations in Excel

I also simulated orbital motion using the Natural Log Law First Year Log Law Simulation.png (109.67 KiB) Viewed 9162 times Every Year Log Law Simulation.png (389.82 KiB) Viewed 9162 times
Finally I simulated orbital motion using the Natural Log Law at extremely close range First Year Log Law Closer Simulation.png (146.03 KiB) Viewed 9162 times