Elliptical Orbital Function

Time evolved, spatial displacement is calculated below. Scalars are in radians for modern physics and there are no units for them in classical physics.

(1) A = ( a/2 ) * ( 1 - ( 2 * x /b ) ^ 2 ) ^ 1/2

(2) A = ( a/2 ) * ( 1 - ( 2 * ( 2 * Pi * f * t )/b ) ^ 2 ) ^ 1/2

(3) A = ( a/2 ) * ( 1 - ( 4 * Pi * f * t /b) ^ 2 ) ^ 1/2

(4) A = ( a/2 ) * ( 1 - ( 4 * Pi * ( 1 hz ) * t/b ) ^ 2 ) ^ 1/2

The ellipse has total height of “a” and a length of “b”. The amplification is “a”.

The function is (1) and the complete, time evolution algorithm is (4).

The orbital system’s focal point is the centre of gravity between two objects - masses, in physics. It is the average position of the added masses. The origin is the centre of gravity. It is worth the world's primary graphic calculators updating their databases to plot an ellipse rather than the postive variable only. That results in a positive variable, half ellipse.

© Sydney Matinga 2026