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Constant Temporal Model

This model parametrises a constant time model.

$$F(E) = k$$

Example plot

Here is an example plot of the model:

from astropy import units as u
from astropy.time import Time
import matplotlib.pyplot as plt

YAML representation

Here is an example YAML file using the model:

from gammapy.modeling.models import (
    ConstantTemporalModel,
    Models,
    PowerLawSpectralModel,
    SkyModel,
)

time_range = [Time.now(), Time.now() + 1 * u.d]
constant_model = ConstantTemporalModel(const=1)
constant_model.plot(time_range)
plt.grid(which="both")


model = SkyModel(
    spectral_model=PowerLawSpectralModel(),
    temporal_model=constant_model,
    name="constant-model",
)
models = Models([model])

print(models.to_yaml())

Out:

components:
-   name: constant-model
    type: SkyModel
    spectral:
        type: PowerLawSpectralModel
        parameters:
        -   name: index
            value: 2.0
        -   name: amplitude
            value: 1.0e-12
            unit: cm-2 s-1 TeV-1
        -   name: reference
            value: 1.0
            unit: TeV
            frozen: true
    temporal:
        type: ConstantTemporalModel
        parameters: []