sphere coordinates using latitude and longitude system

If I have a point coordinates A = (LatC, LonC, altC) where LatC, LonC, and altC are the latitude, longitude, and above ground level altitude of the point, how I can obtain the coordinates (Lat_i, Lon_i, alt_i) of the points on a sphere, whose center is point A and its radius is d (where d< altC), when I sweep horizontally and vertically at angles θ (say θ=1 deg) ?

For instance, the point A is the center of the sphere in the picture, and I want the position latitude and longitudes θ=1 deg relative to each other horizantally and vertically with the sphere radius being say d = 1 km.

Answer 1

[KSSV]

r = 1;  % Radius 1 km 
xo = 0; yo = 0; zo = 0;   %Center, give points of A 
m = 20;
n = 10;
theta=0:2*pi/m:2*pi ;
phi=-pi/2:pi/10:pi/2 ;

[T,P] = meshgrid(theta,phi) ;
X = xo + r *cos(P).* cos(T);
Y = yo + r *cos(P).* sin(T);
Z = zo + r *sin(P) ;
surf(X,Y,Z)

Or, you can use inbuilt function sphere.

[x,y,z] = sphere;
A = rand(1,3) ;
R = 1 ; 
x = A(1)+x*R;
y = A(2)+y*R;
z = A(3)+z*R;

figure
surf(x,y,z)