Basic Ellipsoid Elements Calculator
Primarily for Planetary Meridian and Orbital Parameter Computations - Exp v1.02

ENTER Ellipsoid Equatorial and Polar (a , b) Parameters in Any Units $\left(a\ge b\right)$

On empty input, default Earth (WGS-84) parameters (a, b), in meters, will be used.

The program will compute the ellipsoid elements from the given (a, b) parameters
using the standard equations following below.
```ELLIPSOID PARAMETERS

a  = Equatorial radius    = 6378137.0000000000000000 units
b  = Polar radius         = 6356752.3142450000000000 units

f  = Flattening factor    = 0.0033528106647756233521 = 1/298.2572235604965054

e  = Eccentricity         = 0.0818191908429643023611
e²                        = 0.0066943799901974135468

Equatorial Quarter = 10018754.1713946215382942 units
Meridional Quarter = 10001965.7293125819531904 units

Circumference of Equator  = 40075016.6855784861531768 units = Red Equatorial Circle
Circumference of Meridian = 40007862.9172503278127614 units = Cyan Meridional Ellipse
Circumference Difference  = 67153.7683281583404154 units

```

 PLANETARY ELLIPSOID PARAMETERS (a, b) ```Known (a, b) Parameters of Planets in Kilometers and Miles Source: NASA The equatorial and meridional circumferences were computed from the given (a , b) parameters using the above program. __________________________________________________________ Earth | 6378.1 , 6356.8 km | Equat C = 40074.8 km = 24901.3 mi a b | Diff = 1326.0 km = 824.0 mi 3963.2 , 3949.9 mi | Merid C = 40007.9 km = 24859.8 mi ____________________|_____________________________________ The Moon | 1738.1 , 1736.0 km | Equat C = 6785.8 km = 4216.5 mi a b | Diff = 6.6 km = 4.1 mi 1080.0 , 1078.7 mi | Merid C = 6781.8 km = 4214.0 mi ____________________|_____________________________________ Mars | 3396.2 , 3376.2 km | Equat C = 21339.0 km = 13259.4 mi a b | Diff = 62.8 km = 39.0 mi 2110.3 , 2097.9 mi | Merid C = 21276.2 km = 13220.4 mi ____________________|_____________________________________ Jupiter | 71492 , 66854 km | Equat C = 449197 km = 279118 mi a b | Diff = 14449 km = 8978 mi 44423 , 41541 mi | Merid C = 434749 km = 270140 mi ____________________|_____________________________________ Saturn | 60268 , 54364 km | Equat C = 378675 km = 235298 mi a b | Diff = 18309 km = 11377 mi 37449 , 33780 mi | Merid C = 360366 km = 223921 mi ____________________|_____________________________________ Uranus | 25559 , 24973 km | Equat C = 160592 km = 99787 mi a b | Diff = 1836 km = 1141 mi 15882 , 15518 mi | Merid C = 158756 km = 98647 mi ____________________|_____________________________________ Neptune | 24764 , 24341 km | Equat C = 155597 km = 96683 mi a b | Diff = 1326 km = 824 mi 15388 , 15125 mi | Merid C = 154271 km = 95859 mi ```
References

The Earth Ellipsoid
https://en.wikipedia.org/wiki/Earth_ellipsoid

Complete Elliptic Integral of the Second Kind
https://en.wikipedia.org/wiki/Elliptic_integral#Complete_elliptic_integral_of_the_second_kind

Ordinance Survey - A Guide to Coordinate Systems in Great Britain
An introduction to mapping coordinate systems and the use of GNSS datasets with Ordnance Survey mapping
https://www.ordnancesurvey.co.uk/docs/support/guide-coordinate-systems-great-britain.pdf

A PHP Science Program by Jay Tanner - Revised: 2019 November 05 Tuesday at 09:44:04 AM GMT