...planet moves about the sun in an orbit that is an ellipse, with the sun at one focus of the ellipse. II. The straight line joining a planet and the sun sweeps...out equal areas in space in equal intervals of time. III. The squares of the sidereal periods of the planets are in direct proportion to the cubes of the...

...first law not the second or third because: Kepler's second law (known as the Law of Areas) states: the straight line joining a planet and the sun sweeps...out equal areas in space in equal Intervals of time. Kepler's third law (Harmonic Law) states: the squares of the sidereal periods of the planets are in...

...expect it to provide 1. The planets orbit the sun in elliptical orbits, with the sun at one focus. 2. The straight line joining a planet and the sun sweeps out equal areas in equal times. three more scalar integrals of motion; however, since e and h are related by e • h =...

...is closest to the sun in early January. In accordance with Kepler's second law, which states that a line joining a planet and the sun sweeps out equal areas in equal intervals of time, this is the part of the year when the angular velocity of the Earth in its...

...planetary motion. (1) The orbit of a planet about the sun is an ellipse with the sun at one focus. (2) A line joining a planet and the sun sweeps out equal areas in equal intervals of time. (3) The square of a planet's period around the sun is directly proportional...

...travel around the Sun in ellipitical orbits, in the same direction and in roughly the same plane. • A line joining a planet and the Sun sweeps out equal areas in equal time intervals. The time taken for the planet to go from A lo B = the lime taken to go from C...