A preview of a legacy planetary model. [sociallocker][/sociallocker] Read More... "A Legacy Animated Planetary Model – video preview"
Two Lissajous Models – a video preview
This is a video preview for two older models included in this blog, a static model and a dynamic model. [sociallocker][/sociallocker] [sociallocker][/sociallocker] Read More... "Two Lissajous Models – a video preview"
Spectral Analysis – a Fourier transform tutorial – part #5
This part of the tutorial demonstrates the Fourier transform operation in a few cases of periodic and non-periodic signals, such as an AM signal, an FM signal, a rectangular non repetitive signal and a cardinal sine signal. The last slide contains an application to the scaling property of the Fourier transform on a non-repetitive time signal. It actually shows that… Read More... "Spectral Analysis – a Fourier transform tutorial – part #5"
Spectral Analysis – a Fourier transform tutorial – part #4
The previous sections explains the creation of a discrete Fourier transform model in Excel. This section and the following one will use the model to calculate and chart the Fourier transform in several cases of periodic and non-periodic signals. [sociallocker][/sociallocker] A Fourier Transform Model in Excel, part #4 by George Lungu – This is a tutorial about the implementation of… Read More... "Spectral Analysis – a Fourier transform tutorial – part #4"
Spectral Analysis – a Fourier transform tutorial – part #3
The previous sections of the tutorial handled the basic formulas behind building a Fourier model and creating a set of input functions. This section deals with formula implementation on the spreadsheet, the brief VBA code and the charting of the Fourier transform components. [sociallocker][/sociallocker] A Fourier Transform Model in Excel #3 by George Lungu – This is a tutorial about… Read More... "Spectral Analysis – a Fourier transform tutorial – part #3"
A basic 3-body Planetary System
Hi folks, as a continuation to the previous tutorial here is a 3-body planetary model where the solution to the equations is contained in a static form, as a lookup table (I previously called it a “pure spreadsheet solution”). The model is static in the sense that after any parameter is changed, the solution data remains unchanged in a table until a new parameter is updated by the… Read More... "A basic 3-body Planetary System"
How to Model a Basic 2-body Planetary System
Here is a tutorial explaining how to model a two dimensional 2-body planetary system in Excel. It uses the Euler method of integration. The tutorial starts with explaining the simple Newtonian laws acting on the two planets. There are essentially just two forces acting on each body at any time: the inertia and the gravitational attraction. During each small time step,… Read More... "How to Model a Basic 2-body Planetary System"
Tutorial – a Static Lissajous Emulator
Hi there, this is a tutorial explaining the construction of a very basic Lissajous emulator in Excel. It’s supposed to be very easy to understand at the high school level. Good luck, George [sociallocker][/sociallocker] A Lissajous emulator in Excel by George Lungu Introduction: Jules A. Lissajous was a French mathematician from the 19th century – He wanted to visualize… Read More... "Tutorial – a Static Lissajous Emulator"
Dynamic Lissajous Emulator
This is a dynamic Lissajous emulator in the sense that the waveform is obtained by combining 2 time varying sinusoidal waves with different frequencies. [sociallocker][/sociallocker] Read More... "Dynamic Lissajous Emulator"
Static Lissajous Emulators (2D and 3D)
This is a static Lissajous emulator in the sense that the waveform is obtained by combining 2 static sinusoidal waves with different frequencies. As a parenthesis, I will be preparing a dynamic version which will look just like the wave shape seen on a real oscilloscope. The file presented here has two different worksheets, the first one contains a classic 2D… Read More... "Static Lissajous Emulators (2D and 3D)"
Pendulum
This is a basic pendulum model in Excel. Enjoy! [sociallocker][/sociallocker] This is an animated Excel model of a pendulum that you can download here. For fast modeling speed, please use older versions of excel (1997-2003). In the following section, background information about pendulums in general will be presented: Pendulum meaning, a simple pendulum definition, what is a pendulum? A pendulum… Read More... "Pendulum"