Search found 75 matches

by AlternateGravity
Sun Jun 13, 2021 12:19 pm
Forum: Gravity Simulator
Topic: Rung Kutta 4 in more than 1 dimension of space
Replies: 2
Views: 335

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.
by AlternateGravity
Sat Jun 05, 2021 2:20 am
Forum: Gravity Simulator
Topic: Rung Kutta 4 in more than 1 dimension of space
Replies: 2
Views: 335

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...
by AlternateGravity
Sat Jun 05, 2021 1:44 am
Forum: Gravity Simulator
Topic: Rung Kutta 4 in more than 1 dimension of space
Replies: 2
Views: 335

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=...
by AlternateGravity
Tue Jul 30, 2019 1:26 pm
Forum: Gravity Simulator
Topic: Two Body Problem for different Force Laws
Replies: 0
Views: 13396

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....
by AlternateGravity
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: 7233

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...
by AlternateGravity
Mon Jan 22, 2018 2:55 am
Forum: General Chat
Topic: Force between a point and an infinite straight line
Replies: 0
Views: 14312

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...
by AlternateGravity
Tue Jan 02, 2018 3:16 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16163

Re: I made Gravity Simulations in Excel

Log Law Simulation.xlsx
(62.64 KiB) Downloaded 498 times
Log Law Closer Simulation.xlsx
(63.21 KiB) Downloaded 502 times
Inverse Square Law Hyperbole Simulation.xlsx
(30.92 KiB) Downloaded 494 times
by AlternateGravity
Tue Jan 02, 2018 3:12 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16163

Re: I made Gravity Simulations in Excel

Secant Law Simulation.xlsx
(65.05 KiB) Downloaded 508 times
Exponential Law Simulation.xlsx
(62.62 KiB) Downloaded 488 times
Inverse Exponential Law Simulation.xlsx
(62.25 KiB) Downloaded 520 times
by AlternateGravity
Tue Jan 02, 2018 3:10 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16163

Re: I made Gravity Simulations in Excel

Every Year Log Law Closer Simulation.png
Every Year Log Law Closer Simulation.png (356.91 KiB) Viewed 9120 times
Also these are the excel files I used for these simulations
Sin Law Simulation.xlsx
(63.09 KiB) Downloaded 467 times
Tangent Law Simulation.xlsx
(63.32 KiB) Downloaded 489 times
by AlternateGravity
Tue Jan 02, 2018 3:06 pm
Forum: Gravity Simulator
Topic: I made Gravity Simulations in Excel
Replies: 17
Views: 16163

Re: I made Gravity Simulations in Excel

I also simulated orbital motion using the Natural Log Law
First Year Log Law Simulation.png
First Year Log Law Simulation.png (109.67 KiB) Viewed 9120 times
Every Year Log Law Simulation.png
Every Year Log Law Simulation.png (389.82 KiB) Viewed 9120 times
Finally I simulated orbital motion using the Natural Log Law at extremely close range
First Year Log Law Closer Simulation.png
First Year Log Law Closer Simulation.png (146.03 KiB) Viewed 9120 times