LCAD95 and ellipsoide math

We have some problems
testing results from complex ellipsoid calculations made
in LCAD95 (we found no one who can calculate the same).
Is there anybody, who can calculate alternatively
results, for the tiny ellipsoid math problems shown
below, to compare with the results from LCAD95?

Math
problem of May 4, 1998

We have to travel from A to B around an ellipsoid.

What is the shortest distance and the distance travelling
in a straight vertical cut with the ellipsoid?

`The ellipsoid is the International of 1924: a=6378388
m and f=1/297.`

`Point A: 56.0 deg. N and 10.0 deg. E.`

`Point B: 8.0 deg. N and 88.0 deg. E.`

LCAD95 calculates exact
(using no formulas)

`Shortest curve distance : ``8527862.6557 m`

`Vertical curve distance : ``8527862.8156 m`

Math
problem of Jul. 20, 1999

We want the exact surface area of a part of an
ellipsoid between 3 points.

We use geodetic lines between the points to define the
exact part of the ellipsoid.

`The ellipsoid is the GRS80: a=6378137 m and f=1/298.257222100883.`

`Point A: 56.0 deg. N and 9.0 deg. E.`

`Point B: 57.0 deg. N and 10.0 deg. E.`

`Point C: 56.0 deg. N and 10.0 deg. E.`

LCAD95 calculates exact 3473738156.7 m²

Brasilien:

R.1143, C.106, 4.Et. Cj.Ceara, Cep 60533-460, Fortaleza,
CE, Tlf: +55 85-3294-4349

Danmark:

Østergade 3, 2.
sal, 7430 Ikast, Tlf: +45 97156400 (Poul Hansen)

9. jul. 2005 © LCAD
Team