Question

The orbit of a planet around a sun is an elipse with the sun at one focus. The sphetion of a planet is its greatest distance from the sun, its perheton is its shortest distance, and its mean distance is the length of the serimajor axis of the eliptical orbit. If a planet has a perihelion of 406.5 milion miles and a mean distance of 408 milion mies, write an equation for the orbit of the planet around the sun 2 4029972

Answer 1

majorax b csum bl 7 Let sun at focus a= Semi major distance b= Semi minor distanas (= distance of focus a² b²+ c2 sum Aphelion = maximum distanal = 406.5 million miles mean distancel= Length of Semimajos axis =408 million - miles a +C = 406.5 €) a = 408 C= 406.5 -40% = -1-5 6² =q²_c² 6² = (408)? _ (-1.5² B = 166461.75 b= 407.997 Equation of Ellipse 2 + y = 1 x y? २ y (488)² 907.977² (408) (467.997)?