Skip to content
thecscience
THECSICENCE

Learn everything about computer science

  • Home
  • Human values
  • NCERT Solutions
  • HackerRank solutions
    • HackerRank Algorithms problems solutions
    • HackerRank C solutions
    • HackerRank C++ solutions
    • HackerRank Java problems solutions
    • HackerRank Python problems solutions
thecscience
THECSICENCE

Learn everything about computer science

Johannes Kepler’s Law of Planetary Motion

Yashwant Parihar, November 15, 2023August 1, 2024

In this post, we will learn about Kepler’s three laws of planetary Motion. Johannes Kepler[1571-1630], a German astronomer and mathematician researched the location and the accurate location of the sun in the galaxy. He researched how the planets revolve around the sun and gave us the three laws. We will talk about all three laws in detail and derive the laws for their formulae.

Johannes-Kepler's-Law-of-Planetary-Motion
Johannes-Kepler’s-Law-of-Planetary-Motion

Johannes kepler was born on 27 december 1517. He is interested in astronomy and his college professor encourages his interest. He spends most of his time researching the motion of plants. He died on 15 November 1630 in Regensburg, Germany.

First Law of Kepler – Law of Orbits

According to the first law of Kepler, All planets of our solar system move in the elliptical path and the sun is located in the focal of the elliptical path.

First Law of Kepler - Law of Orbits
First Law of Kepler – Law of Orbits

Second Law of Kepler – Law of Areas

According to the second law of Kepler, the imaginary line that joins the sun and the planet sweeps equal area in equal intervals of time. This law explains that the planets move slower when they are far away and move faster when they are nearer.

Second Law of Kepler - Law of Areas
Second Law of Kepler – Law of Areas

P1 F A1 = P2 F A2

ΔA/ΔT = L/2M

L = Angular Momentum

M = Mass of Planet

Third Law of Kepler – Law of Periods

According to the third law of Kepler, the square of the time period is directly proportional to the cube of the area.

T2 ∝ a3

The shorter the orbit of the planet around the sun, the shorter the time taken to complete one revolution. Using the equations of Newton’s law of gravitation and laws of motion, Kepler’s third law takes a more general form.

P2 = 4π2 /[G(M1+ M2)] × a3

Third Law of Kepler  -  Law of Periods
Third Law of Kepler – Law of Periods

Other Physics Content

  • Parallelogram Law of Vector Edition and its Derivation
  • Work Energy Theorem for Constant and Variable Force
  • Newton’s Three Laws of Motion – Physics
  • Class 11 Physics Chapter 1 Notes on Unit and Measurement
  • Bernoulli’s Theorem Statement and its Derivation
Kepler's law law of areas law of orbits law of periods Physics Planetoroy motion kepler's lawlaw of areaslaw of orbitslaw of periodsPhysics

Post navigation

Previous post
Next post
  • HackerRank Dynamic Array Problem Solution
  • HackerRank 2D Array – DS Problem Solution
  • Hackerrank Array – DS Problem Solution
  • Von Neumann and Harvard Machine Architecture
  • Development of Computers
©2025 THECSICENCE | WordPress Theme by SuperbThemes