Kepler's Laws Of Planetary Motions

Strings (SiPjAjk) = S7P4A42     Base Sequence = 12735     String Sequence = 12735 - 4 - 42

Expressions Of Pj Problems
Kepler's Laws Of Planetary Motions
Math planet A revolves around the Sun, S (figure 122.1):
(a) Describe its path around the sun.
(b) Is the velocity of A constant throughout its revolution around the sun?
(c) Relate the period of A's revolution to its mean distance from the sun.

The strings: S7P4A42 (Motion - Rotation).

The math:
Pj Problem of Interest is of type motion (rotation). (a) A's path is elliptic.
Kepler's First Law: each planet moves on an ellipse and the sun is at one focus.

(b) No. Planet A does not move at constant velocity around the sun. It moves faster when closer to the sun. This is a consequence of Kepler's second law.
Kepler's Second Law: a line drawn from the sun to the planet sweeps out equal areas in equal times. Area ABS is equal to area SCD in equal times (figure122.1). So arc CD is longer than arc AB.

(c) If T is the period of revolution of any planet around the sun and D is its mean distance from the sun, then:
T2 = kD3.
Where T is period of revolution
k is a constant and is the same for all the planets.
D is the mean distance from the sun. The point . is a mathematical abstraction. It has negligible size and a great sense of position. Consequently, it is front and center in abstract existential reasoning.
Single Variable Functions
Conics
Ordinary Differential Equations (ODEs)
Vector Spaces
Real Numbers
Separation Of Variables As Solution Method For Homogeneous Heat Flow Equation
Newton And Fourier Cooling Laws Applied To Heat Flow Boundary Conditions
Fourier Series
Derivation Of Heat Equation For A One-Dimensional Heat Flow The Universe is composed of matter and radiant energy. Matter is any kind of mass-energy that moves with velocities less than the velocity of light. Radiant energy is any kind of mass-energy that moves with the velocity of light.
Periodic Table
Composition And Structure Of Matter
How Matter Gets Composed
How Matter Gets Composed (2)
Molecular Structure Of Matter
Molecular Shapes: Bond Length, Bond Angle
Molecular Shapes: Valence Shell Electron Pair Repulsion
Molecular Shapes: Orbital Hybridization
Molecular Shapes: Sigma Bonds Pi Bonds
Molecular Shapes: Non ABn Molecules
Molecular Orbital Theory
More Pj Problem Strings

Blessed are they that have not seen, and yet have believed. John 20:29

TECTechnic Logo, Kimberlee J. Benart | © 2018 | All rights reserved | Founder and Site Programmer, Peter O. Sagay.