CHALLENGE ACTIVITY 6.8.2: Distance planet travels in an orbit. This tool is provided by a third party. Though your activity may be recorded a page refresh may be needed to fill the banne 0/2 Distance planet travels in an orbit Consider a planet that follows an elliptical orbit. The perimeter of an ellipse with a major axis a and minor axis bis 4a 2 1-k sine de where k= Var-B For a given a major axis a and minor axis b, calculate the distance the planet travels, by completing: 1. the subfunction TrapzPlanet that uses trapeziodal numerical integration (using the internal function trapz) and a given number of discrete points. 2. the subfunction IntegratePlanet that uses the internal function integral. Ex: 2 = 3.81*10^9; b = 2.74*10^9; [trap Approx, nunIntegrate] = PlanetDistance(a, b, 1000) produces trapz Approx = 1.8974e-10 nun Integrate = 1.8974e-10 Function Save C Reset MATLAB Documentation i function [trapzApprox, nun Integrate) = PlanetDistance(a,b,points) trapzApprox=Trap Planet(a,b,points); num Integrate=IntegratePlanet(a,b); 4 end function trapzApprox=TrapzPlanet(a,b,points) % Your code goes here 10 end 12 function num Integrate=IntegratePlanet(a,b) % Your code goes here 16 end Code to call your function e Reset 1 a = 3.81*10^9; b = 2.74*10^9; 2 [trap Approx, num Integrate] = PlanetDistance(a, b, 1000)