Calculating Exposure Time
The Exposure Time is calculated based on the user input SNR, instrument configuration and input source spectrum. The count rate terms (in photons/sec) are then retrieved from SYNPHOT. Each photon count rate term is depicted below with an r subscript.
Taking formula (ii) from the previous page and expanding the count terms, we get the following:
This can be easily changed to:
Then solving for t gives us:
Where:
Sr = Source count rate
SNR = Signal To Noise ratio
ESr = Earthshine count rate
ZLr = Zodiacal Light count rate
GLr = Geocoronal Emission Line(s) count rate
DCr = Dark Current count rate
Thermalr = Thermal background count rate (optional field)
CSr = Coronagraphic Source count rate (optional field)
RN = Read Noise