Gravity & Kepler’s
Laws
Gravity
• An attractive force between
two objects exerted over a
distance
• Magnitude determined by the
mass of the two objects and the
distance between them
Law of Orbits
• All planets move in elliptical orbits, with
the sun at one focus
Eccentricity
• Ratio between the
major axis and the
distance between the
foci; closer to 1 more
“oval-like”, closer to 0
the more “circle-like”
Law of Areas
• A line that connects a planet to
the sun sweeps out equal areas
in equal times
• When a planet is closer to the
sun, the force of gravity goes
up, therefore the planet
accelerates and speeds up;
farther away planets go slower
Law of Periods
• The square of the period of any
planet is proportional to the
cube of the semi-major axis of
its orbit
• T2 = a3
• T = period; Earth years of one
revolution around sun
• a = AU’s from the sun

Gravity and Kepler's Law Notes

  • 1.
  • 2.
    Gravity • An attractiveforce between two objects exerted over a distance • Magnitude determined by the mass of the two objects and the distance between them
  • 3.
    Law of Orbits •All planets move in elliptical orbits, with the sun at one focus
  • 4.
    Eccentricity • Ratio betweenthe major axis and the distance between the foci; closer to 1 more “oval-like”, closer to 0 the more “circle-like”
  • 5.
    Law of Areas •A line that connects a planet to the sun sweeps out equal areas in equal times • When a planet is closer to the sun, the force of gravity goes up, therefore the planet accelerates and speeds up; farther away planets go slower
  • 6.
    Law of Periods •The square of the period of any planet is proportional to the cube of the semi-major axis of its orbit • T2 = a3 • T = period; Earth years of one revolution around sun • a = AU’s from the sun