Asymm Gaussian on sphere

[3]:

# Parameters
func_name = "Asymm_Gaussian_on_sphere"

Description

[5]:

func.display()

description: A bidimensional Gaussian function on a sphere (in spherical coordinates) see https://en.wikipedia.org/wiki/Gaussian_function#Two-dimensional_Gaussian_function
formula: $n.a.$
parameters:
- lon0:
  - value: 0.0
  - desc: Longitude of the center of the source
  - min_value: 0.0
  - max_value: 360.0
  - unit:
  - is_normalization: False
  - delta: 0.1
  - free: True
- lat0:
  - value: 0.0
  - desc: Latitude of the center of the source
  - min_value: -90.0
  - max_value: 90.0
  - unit:
  - is_normalization: False
  - delta: 0.1
  - free: True
- a:
  - value: 10.0
  - desc: Standard deviation of the Gaussian distribution (major axis)
  - min_value: 0.0
  - max_value: 20.0
  - unit:
  - is_normalization: False
  - delta: 1.0
  - free: True
- e:
  - value: 0.9
  - desc: Excentricity of Gaussian ellipse
  - min_value: 0.0
  - max_value: 1.0
  - unit:
  - is_normalization: False
  - delta: 0.09000000000000001
  - free: True
- theta:
  - value: 10.0
  - desc: inclination of major axis to a line of constant latitude
  - min_value: -90.0
  - max_value: 90.0
  - unit:
  - is_normalization: False
  - delta: 1.0
  - free: True

The shape of the function on the sky.

[6]:

m=func(ra, dec)
hp.mollview(m, title=func_name, cmap="magma")
hp.graticule(color="grey", lw=2)