Conceptual Idea: “Kepler’s 2nd Law states that a planet in its orbital plane sweeps out equal areas in equal amounts of time.” This means that the closer a planet is to the Sun, the faster it moves in its orbit. What does this imply according to Newton? Give some Earthly examples of this effect.
Conceptual Idea: “Kepler’s 2nd Law states that a planet in its orbital plane sweeps out equal...
In Lecture 4, we discussed Kepler’s third law relatingthe orbital period of a planet (p) to the semi-major axis (orbital distance, a) of its orbit(p2= a3). We can apply this law as long the object orbits the Sun or another object of the same mass, and the units of orbital period are in (Earth) years and the orbital distance is in Astronomical Units(AU). [1AU is equal to the distance between the Earth and the Sun]. [Note: Newton extended this law...
Multivariable Calculus help with the magnitude of angular momentum: My questions is exercise 4 but I have attached exercise 1 and other notes that I was provided 4 Exercise 4. In any mechanics problem where the mass m is constant, the position vector F sweeps out equal areas in equal times the magnitude of the angular momentum ILI is conserved (Note: be sure to prove "if and only if") (Note: don't try to use Exercise 2 in the proof of...