………..Welcome!
In this website you will find a way to understand how planets orbit using methods that are easy to understand. The methods used here give a better description of planetary movement and use simpler math and logic than standard teaching methods. If you are a high school student or teacher or college student or professor or are just a curious learner, you will likely discover that Orbits Explained is exactly what you are looking for.
Here is why. The Hododyne defined:
The triangle below will be our building block for orbits. The triangle is formed by spinning the line segment AC around line segment AB where the two line segments meet at point A. Line segment CH is drawn perpendicular to line segment AB where it meets the tip of line segment AC. Line segment FG is the perpendicular bisector of line segment CB and meets line segment AB a point G. The magical property of the triangle is that as line segment AC spins, the line segments AB and HB change their lengths but remain inversely proportional to each other! This may be the first and only geometrical mathematical model to generate inverse proportions. We will call this triangle the Inverse Proportion Machine and give it a scientific name, the hododyne, – hodo implying the round or elliptical path of planets, -dyne implying force that causes movement.
This new machine of mine
So aptly rations out a line
That when it regulates the sky
It’s called a hododyne
– David S. Marlin
These are the 3 tools that will be used to build a solid understanding of orbits:
A proof that a planet sweeps out equal areas between it and the Sun during equal amounts of time.
A demonstration that in order to sweep equal areas in equal times, an inverse proportion must exist between the distance to the Sun and the speed of a planet in the direction that is perpendicular to the direction towards the Sun.
Our new geometric mathematical tool, the hododyne, that generates line segments that are inversely proportional to each other. No calculus is involved.
These 3 tools will be used to prove Kepler’s Planetary Laws and Newton’s Inverse Square Law of Gravitational Force and Distance. Specifically, the hododyne will show that orbits are ellipses. The hododyne approach makes it unnecessary to use astronomical observations in order to prove that orbits are ellipses nor are they necessary to prove Kepler’s and Newton’s Planetary and Gravitational Laws.
You can see a free brief summary of the proofs and methods of Orbits Explained by clicking here.
A more detailed presentation of all the steps using easy math is available for those interested in the book Orbits Explained which is available for purchase on the Amazon website by clicking the link: http://amazon.com/dp/B0DP1YLH3B.
Orbits Explained 