popsynth.distributions.spherical_distribution module

class popsynth.distributions.spherical_distribution.SphericalDistribution(seed: int = 1234, name: str = 'sphere', form: Optional[str] = None)

Bases: SpatialDistribution

__init__(seed: int = 1234, name: str = 'sphere', form: Optional[str] = None)

A generic spherical distribution. Can be inherited to form more complex spherical distributions

Parameters

• seed (int) – Random seed

• name (str) – Name of the distribution

• form (str) – Mathematical description of distribution

differential_volume(r)

The differential volume

Parameters

distance – Distance

transform(L, r)

The transform from luminosity to flux for the

Parameters

• flux –

• distance –

Returns

class popsynth.distributions.spherical_distribution.ConstantSphericalDistribution(seed: int = 1234, name: str = 'cons_sphere', form: Optional[str] = None)

Bases: SphericalDistribution

Lambda

__init__(seed: int = 1234, name: str = 'cons_sphere', form: Optional[str] = None)

A spherical distribution with constant density.

Parameters

• seed (int) – Random seed

• name (str) – Name of the distribution

• form (str) – Mathematical description of distribution

• Lambda (DistributionParameter) – Density per unit volume

dNdV(distance)

The differential number of objects per volume element

Parameters

distance –

Returns

class popsynth.distributions.spherical_distribution.ZPowerSphericalDistribution(seed: int = 1234, name: str = 'zpow_sphere')

Bases: ConstantSphericalDistribution

delta

__init__(seed: int = 1234, name: str = 'zpow_sphere')

A spherical distribution with a power law density profile.

Lambda (1+r)^``delta``

Parameters

• seed (int) – Random seed

• name (str) – Name of the distribution

• form (str) – Mathematical description of distribution

• delta (DistributionParameter) – Index of power law distribution

dNdV(distance)

The differential number of objects per volume element

Parameters

distance –

Returns