The equations are
(1)
| |||
(2)
|
where is the solution to
(3)
|
This can be solved iteratively using Newton's method with to obtain
(4)
|
The inverse formulas are
(5)
| |||
(6)
|
where
(7)
|
The equations are
(1)
| |||
(2)
|
where is the solution to
(3)
|
This can be solved iteratively using Newton's method with to obtain
(4)
|
The inverse formulas are
(5)
| |||
(6)
|
where
(7)
|
Weisstein, Eric W. "Eckert VI Projection." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/EckertVIProjection.html