Understanding Kepler's Laws: Unraveling the Mathematical Derivations

  • Thread starter Thread starter kingpeje
  • Start date Start date
  • Tags Tags
    Derivation Laws
AI Thread Summary
Kepler's laws describe the motion of planets and are derived from observational data and Newton's laws of motion and gravitation. The first law states that planets move in elliptical orbits with the sun at one focus, while the second law indicates that a line segment joining a planet and the sun sweeps out equal areas during equal intervals of time. The third law establishes a relationship between the square of a planet's orbital period and the cube of the semi-major axis of its orbit. To understand these derivations, starting with basic principles of physics and geometry is essential. Engaging with resources like Wikipedia can provide foundational insights for further exploration.
kingpeje
Messages
1
Reaction score
0
I have to write a paper about the derivation of Kepler's laws, but I don't understand how the derivations work. If anyone could help explain to me how they work.
 
Physics news on Phys.org
What will you derive the laws from?
There are some possibilities in the Wikipedia article on Kepler's Laws.
You will get help here if you make a start - even a false one.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top