Question

solve this using matlab

and post the code on how to solve for it and plot it as well

i know the picture is there but i want to learn how to plot it on matlab please

- 1/2 The orbit of Pluto is elliptical in shape, with a = 5.9065 x 109 km and b = 5.7208 x 109 km The perimeter of an ellipse can be calculated by P = 401 V1 –k? sin’e ao where k = Wa? - b2 Determine the distance Pluto travels in one orbit. Calculate the average speed at which Pluto travels (in km/h) if one orbit takes about 248 years. a b a

Answer 1

I have created the Matlab code to calculate the average speed of Pluto. Please find the following code screenshot, output, and Code.

ANY CLARIFICATIONS REQUIRED LEAVE A COMMENT

1.CODE SCREENSHOT:

+ 1 - 4 Pulto DistanceCal.m * plotElippse.mx clc; 2 Given data 3 - a=5.9065e9; b=5.7208e9; Calculate the value of 'k' using the given formual 5 - k=sqrt(a^2-b^2)/a; 6 Create the equaltion to apply integrations 7 - SQ=@ (x) sqrt (1-k*2*sin(x).^2); Apply integration and obtain the value 9 q=integral (SQ,0, pi/2); 10 $Caluclate the value of the perimeter of the ellipse perimeter=4*a*q; & Number of hours in 248 years. 13 - hours=24*365*248; 14 Calculate the average speed 15 - AveSpeed=perimeter/hours; 16 - fprintf('The average speed of Pluto is : $.4f\n', AveSpeed); 8 - 11 12

2.OUTPUT:

Command Window The average speed of Pluto is : 16815.1466 fx >>|

3.CODE:

clc; %Given data a=5.9065e9; b=5.7208e9; %Calculate the value of 'k' using the given formual k=sqrt(a^2-b^2)/a; %Create the equaltion to apply integrations SQ=@ (x) sqrt(1-k^2*sin(x).^2); %Apply integration and obtain the value q=integral(SQ,0, pi/2); %Caluclate the value of the perimeter of the ellipse perimeter=4*a*q; % Number of hours in 248 years. hours=24*365*248; %Calculate the average speed AveSpeed=perimeter/hours; fprintf('The average speed of Pluto is : %.4f\n',AveSpeed);