Consider a planet that follows an elliptical orbit. The perimeter of an ellipse with a major axis a and minor axis b is 4a V1 - k-sin-e do where k = Va? – b?. For a given a major axis a and minor axis b, calculate the distance the planet travels, by completing: a 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:
a = 3.01*10^ 9; b = 2.74*10^9; [trapzApprox, numIntegrate] = PlanetDistance(a, b, 1000) produces trapzApprox = 1.8074e+10 numIntegrate = 1.8074e+10 Function Save C Reset MATLAB Documentation 2 1 function [trapz Approx, numIntegrate] PlanetDistance(a, b, points) trapzApprox=TrapzPlanet(a, b, points); numIntegrate=IntegratePlanet(a, b); 4 end 3 5 6 function trapzApprox=TrapzPlanet(a, b,points) 7 8 % Your code goes here 9 10 end 11 12 function numIntegrate=IntegratePlanet(a, b) 13 14 % Your code goes here 15 16 end Code to call your function C Reset 1 a = 3.01*10^9; b = 2.74*10^9; 2 [trapzApprox, numIntegrate] = PlanetDistance(a, b, 1000)