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I have one for loop and want to calculate until the difference between reaches upto 10^-14. So should i set up the loop for that .

e = sqrt(1-(1-f^2));

e_bar = e/(sqrt(1-e^2)) ;

I need set such that it should be less.

Can any one help me to set up the condition for iterative way?

thank you

Ajit Kasturi
on 19 Jun 2020

Edited: Ajit Kasturi
on 19 Jun 2020

Assuming you want to loop until the accuracy e is of the order 10^-14 you can do the same for e_bar also:

a=6378137; %semi-major axis of reference ellipsoid(units are in meter)

J2 = 108263e-8; %non-normalised zonal spherical coecient(unit less)

GM =3986005e8; %gravity constant G times Mass M (m^3/s^2)

omega = 7292115e-11; %angular velocity (rad/sec)

f= 1/298 ; % approx flattening

%% first and second numeric eccentricity e and e0 with an accuracy of 10^-14

n=100000;

% keep a variable prev_e

prev_e=0;

for i=1:n

e = sqrt(1-(1-f^2));

e_bar = e/(sqrt(1-e^2)) ; %eq 3

if i==1

i=i+1;

continue;

end

i=i+1

if abs(e-prev_e)<=10^-14

break;

end

prev_e=e

end

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