# Sinusoidal (Sanson-Flamsteed)¶

 Classification Pseudocylindrical Available forms Forward and inverse, spherical and ellipsoidal Defined area Global Alias sinu Domain 2D Input type Geodetic coordinates Output type Projected coordinates

MacBryde and Thomas developed generalized formulas for several of the pseudocylindricals with sinusoidal meridians:

$x = C\lambda(m+cos\theta) / ( m + 1)$
$y = C\theta$
$C = \sqrt { (m + 1 ) / n }$

## Parameters¶

Note

All parameters are optional for the Sinusoidal projection.

+lon_0=<value>

Longitude of projection center.

Defaults to 0.0.

Note

The default convention is to interpret this value as decimal degrees. To specify radians instead, follow the value with the “r” character.

Example: +lon_0=1.5708r

+R=<value>

Radius of the sphere, given in meters. If used in conjunction with +ellps, +R takes precedence.