Question

Kepler's First Law: The orbits of the planets are ellipses, with the Sun at one focus of the ellipse. Sun Focus point-→ . Kepler's Second Law: The line joining the Sun and planet sweeps out equal areas in equal times, so the planet moves faster when it is nearer the Sun. Thus, a planet executes elliptical motion with constantly changing angular speed as it moves about its orbit. Here, all of the alternating colored sections have the same area. Total elapsed time: 80 days 60 days 50 days Sun 70 days 80 days Focus point 10 days 20 days 40 days 30 days

For the ellipse shown above, what is the distance from one focus to the center of the ellipse?

Distance =

Answer 1

2 Sun 2 2. Focus point CL.

Ans let 2a and 2b be the lengh of the major and minor aishown n the igure Let cbe the distance belween one Jocus and the cerfer of the ellipse using the proper, The sum of the distances from any oint on the ellipse to the two foei is čon stant( = 2a) Now

The sum of distances from point A ナ。thetw。 2. ογ (Съ Jaa-b2 The distance from e CenTer